{"id":"https://openalex.org/W2169978421","doi":"https://doi.org/10.1109/allerton.2008.4797640","title":"Exact low-rank matrix completion via convex optimization","display_name":"Exact low-rank matrix completion via convex optimization","publication_year":2008,"publication_date":"2008-09-01","ids":{"openalex":"https://openalex.org/W2169978421","doi":"https://doi.org/10.1109/allerton.2008.4797640","mag":"2169978421"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2008.4797640","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2008.4797640","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 46th Annual Allerton Conference on Communication, Control, and Computing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5072495084","display_name":"Emmanuel J. Cand\u00e8s","orcid":"https://orcid.org/0000-0001-9234-924X"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Emmanuel J. Candes","raw_affiliation_strings":["Applied and Computational Mathematics, Caltech, Pasadena, CA, USA","Appl. & Comput. Math., Caltech, Pasadena, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied and Computational Mathematics, Caltech, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Appl. & Comput. Math., Caltech, Pasadena, CA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012870568","display_name":"Benjamin Recht","orcid":"https://orcid.org/0000-0002-0293-593X"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin Recht","raw_affiliation_strings":["Caltech, Center for the Mathematics of Information, Pasadena, CA","Center for the Math. of Inf., Caltech, Pasadena, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Caltech, Center for the Mathematics of Information, Pasadena, CA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Center for the Math. of Inf., Caltech, Pasadena, CA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":152,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"806","last_page":"812"},"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":0.9959999918937683,"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":0.9937000274658203,"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/matrix-completion","display_name":"Matrix completion","score":0.8403555750846863},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.7064632177352905},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6260194778442383},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5997388362884521},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5499118566513062},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5465160012245178},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.4910886287689209},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4576491415500641},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45633217692375183},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.45500823855400085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4442169964313507},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.41672801971435547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4125317633152008},{"id":"https://openalex.org/keywords/parallels","display_name":"Parallels","score":0.411730021238327},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3835721015930176},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1137341558933258}],"concepts":[{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.8403555750846863},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.7064632177352905},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6260194778442383},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5997388362884521},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5499118566513062},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5465160012245178},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.4910886287689209},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4576491415500641},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45633217692375183},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.45500823855400085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4442169964313507},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.41672801971435547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4125317633152008},{"id":"https://openalex.org/C2775922551","wikidata":"https://www.wikidata.org/wiki/Q7135033","display_name":"Parallels","level":2,"score":0.411730021238327},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3835721015930176},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1137341558933258},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/allerton.2008.4797640","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2008.4797640","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 46th Annual Allerton Conference on Communication, Control, and Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:18832","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20100628-142119214","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1590407118","https://openalex.org/W1639316992","https://openalex.org/W1976618413","https://openalex.org/W2023674145","https://openalex.org/W2042373280","https://openalex.org/W2103699341","https://openalex.org/W2109357213","https://openalex.org/W2118408802","https://openalex.org/W2118550318","https://openalex.org/W2119556711","https://openalex.org/W2124608575","https://openalex.org/W2129131372","https://openalex.org/W2129638195","https://openalex.org/W2145096794","https://openalex.org/W2151211319","https://openalex.org/W2165644552","https://openalex.org/W2176446742","https://openalex.org/W2296616510","https://openalex.org/W2611328865","https://openalex.org/W2912522929","https://openalex.org/W3138835833","https://openalex.org/W4250955649","https://openalex.org/W6675804233","https://openalex.org/W6677964101","https://openalex.org/W6684671274"],"related_works":["https://openalex.org/W2952489973","https://openalex.org/W4300776969","https://openalex.org/W2108753466","https://openalex.org/W2883042798","https://openalex.org/W1880408471","https://openalex.org/W2404690860","https://openalex.org/W2949959192","https://openalex.org/W4224024550","https://openalex.org/W2611328865","https://openalex.org/W2060132011"],"abstract_inverted_index":{"Suppose":[0],"that":[1,29,36,93],"one":[2,41],"observes":[3],"an":[4],"incomplete":[5],"subset":[6,55],"of":[7,46,89],"entries":[8,28,49],"selected":[9],"uniformly":[10],"at":[11],"random":[12,54],"from":[13,50,104],"a":[14,51,58],"low-rank":[15],"matrix.":[16],"When":[17],"is":[18],"it":[19],"possible":[20],"to":[21],"complete":[22],"the":[23,27,47,65,68,74,87],"matrix":[24,66],"and":[25,98],"recover":[26,44],"have":[30],"not":[31],"been":[32],"seen?":[33],"We":[34],"show":[35],"in":[37,80,86],"very":[38,105],"general":[39],"settings,":[40],"can":[42,100],"perfectly":[43,102],"all":[45],"missing":[48],"sufficiently":[52],"large":[53],"by":[56],"solving":[57],"convex":[59],"programming":[60],"problem.":[61],"This":[62],"program":[63],"finds":[64],"with":[67,73],"minimum":[69],"nuclear":[70],"norm":[71],"agreeing":[72],"observed":[75],"entries.":[76],"The":[77],"techniques":[78],"used":[79],"this":[81],"analysis":[82],"draw":[83],"upon":[84],"parallels":[85],"field":[88],"compressed":[90],"sensing,":[91],"demonstrating":[92],"objects":[94],"other":[95],"than":[96],"signals":[97],"images":[99],"be":[101],"reconstructed":[103],"limited":[106],"information.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
