{"id":"https://openalex.org/W3109275650","doi":"https://doi.org/10.1109/tsp.2020.3039599","title":"Reduced-Rank L1-Norm Principal-Component Analysis With Performance Guarantees","display_name":"Reduced-Rank L1-Norm Principal-Component Analysis With Performance Guarantees","publication_year":2020,"publication_date":"2020-11-23","ids":{"openalex":"https://openalex.org/W3109275650","doi":"https://doi.org/10.1109/tsp.2020.3039599","mag":"3109275650"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2020.3039599","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3039599","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":["crossref"],"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/A5103547551","display_name":"Hossein Kamrani","orcid":null},"institutions":[{"id":"https://openalex.org/I166459259","display_name":"Shiraz University","ror":"https://ror.org/028qtbk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I166459259"]},{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["IR","US"],"is_corresponding":false,"raw_author_name":"Hossein Kamrani","raw_affiliation_strings":["Department of Communication and Electronics Engineering, Shiraz University, Shiraz, Iran","University at Buffalo, SUNY, Buffalo, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Communication and Electronics Engineering, Shiraz University, Shiraz, Iran","institution_ids":["https://openalex.org/I166459259"]},{"raw_affiliation_string":"University at Buffalo, SUNY, Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113684117","display_name":"Alireza Zolghadr Asli","orcid":null},"institutions":[{"id":"https://openalex.org/I166459259","display_name":"Shiraz University","ror":"https://ror.org/028qtbk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I166459259"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Alireza Zolghadr Asli","raw_affiliation_strings":["Department of Communication and Electronics Engineering, Shiraz University, Shiraz, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Communication and Electronics Engineering, Shiraz University, Shiraz, Iran","institution_ids":["https://openalex.org/I166459259"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010876698","display_name":"Panos P. Markopoulos","orcid":"https://orcid.org/0000-0001-9686-779X"},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Panos P. Markopoulos","raw_affiliation_strings":["Department of Electrical and Microelectronic Engineering, Rochester Institute of Technology, Rochester, NY, USA"],"raw_orcid":"https://orcid.org/0000-0001-9686-779X","affiliations":[{"raw_affiliation_string":"Department of Electrical and Microelectronic Engineering, Rochester Institute of Technology, Rochester, NY, USA","institution_ids":["https://openalex.org/I155173764"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011741113","display_name":"Michael Langberg","orcid":"https://orcid.org/0000-0002-7470-0718"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Langberg","raw_affiliation_strings":["Department of Electrical Engineering, State University of New York at Buffalo, University at Buffalo, Buffalo, NY, USA"],"raw_orcid":"https://orcid.org/0000-0002-7470-0718","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, State University of New York at Buffalo, University at Buffalo, Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052953883","display_name":"Dimitris A. Pados","orcid":"https://orcid.org/0000-0001-8959-6450"},"institutions":[{"id":"https://openalex.org/I63772739","display_name":"Florida Atlantic University","ror":"https://ror.org/05p8w6387","country_code":"US","type":"education","lineage":["https://openalex.org/I63772739"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitris A. Pados","raw_affiliation_strings":["Department of Computer and Electrical Engineering and Computer Science, Florida Atlantic University, Boca Raton, FL, USA"],"raw_orcid":"https://orcid.org/0000-0001-8959-6450","affiliations":[{"raw_affiliation_string":"Department of Computer and Electrical Engineering and Computer Science, Florida Atlantic University, Boca Raton, FL, USA","institution_ids":["https://openalex.org/I63772739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053807674","display_name":"George N. Karystinos","orcid":"https://orcid.org/0000-0002-8649-160X"},"institutions":[{"id":"https://openalex.org/I55741626","display_name":"Technical University of Crete","ror":"https://ror.org/03f8bz564","country_code":"GR","type":"education","lineage":["https://openalex.org/I55741626"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"George N. Karystinos","raw_affiliation_strings":["School of Electrical and Computer Engineering, Technical Univerisity of Crete, Chania, Greece"],"raw_orcid":"https://orcid.org/0000-0002-8649-160X","affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Technical Univerisity of Crete, Chania, Greece","institution_ids":["https://openalex.org/I55741626"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6347,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.61596996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":null,"first_page":"240","last_page":"255"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9990000128746033,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/principal-component-analysis","display_name":"Principal component analysis","score":0.8433929681777954},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.6181039810180664},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5521489977836609},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.48253414034843445},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4399045407772064},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4130650758743286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40796899795532227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3991824984550476},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3580262064933777}],"concepts":[{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.8433929681777954},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.6181039810180664},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5521489977836609},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.48253414034843445},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4399045407772064},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4130650758743286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40796899795532227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3991824984550476},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3580262064933777},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2020.3039599","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3039599","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8399999737739563}],"awards":[{"id":"https://openalex.org/G3231617374","display_name":"Collaborative Research: CDS&E: Theoretical Foundations and Algorithms for L1-Norm-Based Reliable Multi-Modal Data Analysis","funder_award_id":"1808582","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3849742459","display_name":"MRI: Acquisition of Artificial Intelligence & Deep Learning (AIDL) Training and Research Laboratory","funder_award_id":"1828181","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4801156855","display_name":"CIF: Small: Collaborative Research:A Reductionist View of Network Information Theory","funder_award_id":"1526771","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5376007293","display_name":"NeTS: Cognitive Networking of the Oceans: Localization and Tracking Fundamentals","funder_award_id":"1704813","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8263044979","display_name":"EAGER-DynamicData: A new paradigm for data analytics: L1-norm based Learning and Processing","funder_award_id":"1462341","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W101586694","https://openalex.org/W147992333","https://openalex.org/W157467362","https://openalex.org/W1488435683","https://openalex.org/W1539726260","https://openalex.org/W1663973292","https://openalex.org/W1740511963","https://openalex.org/W1974788546","https://openalex.org/W1992633833","https://openalex.org/W1995168330","https://openalex.org/W2001596810","https://openalex.org/W2018341990","https://openalex.org/W2053090063","https://openalex.org/W2053300860","https://openalex.org/W2066576934","https://openalex.org/W2068722138","https://openalex.org/W2086847993","https://openalex.org/W2097581696","https://openalex.org/W2101117936","https://openalex.org/W2120580172","https://openalex.org/W2124584309","https://openalex.org/W2126601235","https://openalex.org/W2135029798","https://openalex.org/W2139128774","https://openalex.org/W2145962650","https://openalex.org/W2277192409","https://openalex.org/W2294798173","https://openalex.org/W2331052961","https://openalex.org/W2408701322","https://openalex.org/W2519962638","https://openalex.org/W2520813542","https://openalex.org/W2522297021","https://openalex.org/W2529352582","https://openalex.org/W2584269038","https://openalex.org/W2585305991","https://openalex.org/W2594639291","https://openalex.org/W2611529120","https://openalex.org/W2623329600","https://openalex.org/W2742341851","https://openalex.org/W2790756571","https://openalex.org/W2894994225","https://openalex.org/W2904047372","https://openalex.org/W2919186794","https://openalex.org/W2942828122","https://openalex.org/W2945060813","https://openalex.org/W2945990941","https://openalex.org/W2955965309","https://openalex.org/W2963484948","https://openalex.org/W2964198102","https://openalex.org/W2995423737","https://openalex.org/W3047907249","https://openalex.org/W3103526270","https://openalex.org/W3105359208","https://openalex.org/W3106018697","https://openalex.org/W3114558399","https://openalex.org/W3143596294","https://openalex.org/W4239335461","https://openalex.org/W4244494905","https://openalex.org/W4285719527","https://openalex.org/W4292023222","https://openalex.org/W6604143408","https://openalex.org/W6605914596","https://openalex.org/W6606451633","https://openalex.org/W6637603442","https://openalex.org/W6675479683","https://openalex.org/W6680012447","https://openalex.org/W6737414295","https://openalex.org/W6787484131","https://openalex.org/W7073876970"],"related_works":["https://openalex.org/W1975632186","https://openalex.org/W3027745756","https://openalex.org/W2531880140","https://openalex.org/W3205213561","https://openalex.org/W2126145365","https://openalex.org/W2036609560","https://openalex.org/W346861917","https://openalex.org/W3024018414","https://openalex.org/W385273440","https://openalex.org/W4380081032"],"abstract_inverted_index":{"Standard":[0],"Principal-Component":[1],"Analysis":[2],"(PCA)":[3],"is":[4,118],"known":[5],"to":[6,9,31,36],"be":[7],"sensitive":[8],"outliers":[10],"among":[11],"the":[12,16,46,75,81,101,112],"processed":[13],"data.":[14],"On":[15],"other":[17],"hand,":[18],"L1-norm-based":[19],"PCA":[20,33,110],"(L1-PCA)":[21],"exhibits":[22],"sturdy":[23],"resistance":[24,136],"against":[25],"outliers,":[26],"while":[27],"it":[28],"performs":[29],"similar":[30],"standard":[32,109],"when":[34],"applied":[35],"nominal":[37],"or":[38],"smoothly":[39],"corrupted":[40],"data":[41],"[1].":[42],"Exact":[43],"calculation":[44],"of":[45,52,78,83,108,114],"K":[47,76],"L1-norm":[48],"Principal":[49],"Components":[50],"(L1-PCs)":[51],"a":[53,70],"rank-r":[54],"datamatrix":[55],"X":[56,79],"\u2208\u211dD\u00d7Ncosts":[57],"O(N(r-1)K+1)":[58],"[1],":[59],"[2].":[60],"In":[61],"this":[62],"work,":[63],"we":[64],"present":[65],"reduced-rank":[66],"L1-PCA":[67,117],"(RR":[68],"L1-PCA):":[69],"hybrid":[71],"approach":[72],"that":[73,130],"approximates":[74],"L1-PCs":[77,82],"by":[80,120],"its":[84,132],"L2-norm-based":[85],"rank-d":[86],"approximation":[87],"(d":[88],"\u2264":[89],"r),":[90],"calculable":[91],"exactly":[92],"with":[93,111],"reduced":[94],"complexity":[95],"O(N(d-1)K+1).":[96],"The":[97],"proposed":[98],"method":[99],"combines":[100],"denoising":[102],"capabilities":[103],"and":[104,134],"low":[105],"computation":[106],"cost":[107],"outlier-resistance":[113],"L1-PCA.":[115],"RR":[116],"accompanied":[119],"formal":[121],"performance":[122],"guarantees":[123],"as":[124,126],"well":[125],"thorough":[127],"numerical":[128],"studies":[129],"corroborate":[131],"computational":[133],"corruption":[135],"merits.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
