{"id":"https://openalex.org/W3086603490","doi":"https://doi.org/10.1137/21m1429187","title":"Quantile-Based Iterative Methods for Corrupted Systems of Linear Equations","display_name":"Quantile-Based Iterative Methods for Corrupted Systems of Linear Equations","publication_year":2022,"publication_date":"2022-04-13","ids":{"openalex":"https://openalex.org/W3086603490","doi":"https://doi.org/10.1137/21m1429187","mag":"3086603490"},"language":"en","primary_location":{"id":"doi:10.1137/21m1429187","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1429187","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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/A5048004087","display_name":"Jamie Haddock","orcid":"https://orcid.org/0000-0002-1449-2574"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jamie Haddock","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, Los Angeles, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, Los Angeles, CA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024153474","display_name":"Deanna Needell","orcid":"https://orcid.org/0000-0002-8058-8638"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Deanna Needell","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, Los Angeles, CA"],"raw_orcid":"https://orcid.org/0000-0002-8058-8638","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, Los Angeles, CA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054763583","display_name":"Elizaveta Rebrova","orcid":"https://orcid.org/0000-0002-4041-4238"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Elizaveta Rebrova","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, Los Angeles, CA"],"raw_orcid":"https://orcid.org/0000-0002-4041-4238","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, Los Angeles, CA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020313259","display_name":"William Swartworth","orcid":"https://orcid.org/0009-0000-5010-2126"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William Swartworth","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, Los Angeles, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, Los Angeles, CA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048004087"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":4.4856,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.9577405,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"43","issue":"2","first_page":"605","last_page":"637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.7373552918434143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7134405374526978},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6084434390068054},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5662590861320496},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5582578182220459},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5494956374168396},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5385869741439819},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.5364314913749695},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.464183509349823},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.4352947473526001},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33830785751342773},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20941078662872314},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1309938132762909}],"concepts":[{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.7373552918434143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7134405374526978},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6084434390068054},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5662590861320496},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5582578182220459},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5494956374168396},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5385869741439819},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.5364314913749695},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.464183509349823},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.4352947473526001},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33830785751342773},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20941078662872314},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1309938132762909},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1429187","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1429187","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1871087456","display_name":null,"funder_award_id":"1740325","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2079205360","display_name":null,"funder_award_id":"BIGDATA 1740325","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3988822849","display_name":null,"funder_award_id":"1348721","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5176513855","display_name":null,"funder_award_id":"DMS-2111440","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6746354720","display_name":null,"funder_award_id":"2011140","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":63,"referenced_works":["https://openalex.org/W114517082","https://openalex.org/W143004564","https://openalex.org/W340244495","https://openalex.org/W1500306269","https://openalex.org/W1516786830","https://openalex.org/W1516903196","https://openalex.org/W1522345735","https://openalex.org/W1974818065","https://openalex.org/W1976661283","https://openalex.org/W1976936504","https://openalex.org/W1977769089","https://openalex.org/W1988844573","https://openalex.org/W1989651117","https://openalex.org/W1990919278","https://openalex.org/W1992228381","https://openalex.org/W1994616650","https://openalex.org/W1998762105","https://openalex.org/W2000748685","https://openalex.org/W2014513111","https://openalex.org/W2021592149","https://openalex.org/W2026159234","https://openalex.org/W2032357669","https://openalex.org/W2048305372","https://openalex.org/W2049083558","https://openalex.org/W2053342145","https://openalex.org/W2058583833","https://openalex.org/W2068861059","https://openalex.org/W2086847993","https://openalex.org/W2087134730","https://openalex.org/W2091826725","https://openalex.org/W2096185893","https://openalex.org/W2096586829","https://openalex.org/W2129131372","https://openalex.org/W2130062883","https://openalex.org/W2135294617","https://openalex.org/W2135848147","https://openalex.org/W2136437631","https://openalex.org/W2162287622","https://openalex.org/W2288570682","https://openalex.org/W2296319761","https://openalex.org/W2321466613","https://openalex.org/W2329579984","https://openalex.org/W2787248994","https://openalex.org/W2790998159","https://openalex.org/W2793070439","https://openalex.org/W2799985592","https://openalex.org/W2946695070","https://openalex.org/W2949745249","https://openalex.org/W2962890513","https://openalex.org/W2963433607","https://openalex.org/W2963685382","https://openalex.org/W2964345834","https://openalex.org/W2966960289","https://openalex.org/W2982556428","https://openalex.org/W3004305316","https://openalex.org/W3006155831","https://openalex.org/W3010837853","https://openalex.org/W3037299979","https://openalex.org/W3042075243","https://openalex.org/W3100892251","https://openalex.org/W3102157992","https://openalex.org/W3126008680","https://openalex.org/W3133673702"],"related_works":["https://openalex.org/W2739650862","https://openalex.org/W2759437542","https://openalex.org/W3184983074","https://openalex.org/W4382519917","https://openalex.org/W3131955914","https://openalex.org/W3156294624","https://openalex.org/W3086603490","https://openalex.org/W3216172936","https://openalex.org/W3020945985","https://openalex.org/W2142538875"],"abstract_inverted_index":{"Often":[0],"in":[1,25,53,77,98],"applications":[2],"ranging":[3],"from":[4],"medical":[5],"imaging":[6],"and":[7,13,107],"sensor":[8],"networks":[9],"to":[10,20,51,67],"error":[11],"correction":[12],"data":[14],"science":[15],"(and":[16],"beyond),":[17],"one":[18],"needs":[19],"solve":[21],"large-scale":[22,39],"linear":[23,42],"systems":[24,40],"which":[26],"a":[27,88],"fraction":[28],"of":[29,41,62,70,74,80,87,90,94,114],"the":[30,54,68,71,78,91,95,100,112],"measurements":[31],"have":[32],"been":[33],"corrupted.":[34],"We":[35,58,103],"consider":[36],"solving":[37],"such":[38],"equations":[43],"$Ax":[44],"=":[45],"b$":[46],"that":[47,65,110],"are":[48],"inconsistent":[49],"due":[50],"corruptions":[52],"measurement":[55],"vector":[56,97],"$b$.":[57],"develop":[59],"several":[60],"variants":[61],"iterative":[63,116],"methods":[64,84],"converge":[66],"solution":[69],"uncorrupted":[72],"system":[73],"equations,":[75],"even":[76],"presence":[79],"large":[81],"corruptions.":[82],"These":[83],"make":[85],"use":[86],"quantile":[89],"absolute":[92],"values":[93],"residual":[96],"determining":[99],"iterate":[101],"update.":[102],"present":[104],"both":[105],"theoretical":[106],"empirical":[108],"results":[109],"demonstrate":[111],"promise":[113],"these":[115],"approaches.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}