{"id":"https://openalex.org/W2512153233","doi":"https://doi.org/10.1109/isit.2016.7541266","title":"Simple algorithms and guarantees for low rank matrix completion over F <sub>2</sub>","display_name":"Simple algorithms and guarantees for low rank matrix completion over F <sub>2</sub>","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2512153233","doi":"https://doi.org/10.1109/isit.2016.7541266","mag":"2512153233"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541266","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541266","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5037774037","display_name":"James Saunderson","orcid":"https://orcid.org/0000-0002-5456-0180"},"institutions":[{"id":"https://openalex.org/I168959743","display_name":"University of America","ror":"https://ror.org/03s0c9350","country_code":"US","type":"education","lineage":["https://openalex.org/I168959743"]},{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James Saunderson","raw_affiliation_strings":["Dept. of Electrical Engineering, University of Washington, United States of America","Dept. of Electrical Engineering, University of Washington"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, University of Washington, United States of America","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I168959743"]},{"raw_affiliation_string":"Dept. of Electrical Engineering, University of Washington","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102886973","display_name":"Maryam Fazel","orcid":"https://orcid.org/0000-0001-5329-4522"},"institutions":[{"id":"https://openalex.org/I168959743","display_name":"University of America","ror":"https://ror.org/03s0c9350","country_code":"US","type":"education","lineage":["https://openalex.org/I168959743"]},{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maryam Fazel","raw_affiliation_strings":["Dept. of Electrical Engineering, University of Washington, United States of America","Dept. of Electrical Engineering, University of Washington"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, University of Washington, United States of America","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I168959743"]},{"raw_affiliation_string":"Dept. of Electrical Engineering, University of Washington","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002430773","display_name":"Babak Hassibi","orcid":"https://orcid.org/0000-0002-1375-5838"},"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":"Babak Hassibi","raw_affiliation_strings":["Dept. of Electrical Engineering, California Institute of Technology, United States of America","Dept. of Electrical Engineering, California Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, California Institute of Technology, United States of America","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Dept. of Electrical Engineering, California Institute of Technology","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037774037"],"corresponding_institution_ids":["https://openalex.org/I168959743","https://openalex.org/I201448701"],"apc_list":null,"apc_paid":null,"fwci":0.6229,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69659723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"86","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/rank","display_name":"Rank (graph theory)","score":0.5994354486465454},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5113853812217712},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.459258496761322},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44917815923690796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44618529081344604},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3255341649055481},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.324543297290802},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2972571551799774}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5994354486465454},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5113853812217712},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.459258496761322},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44917815923690796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44618529081344604},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3255341649055481},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.324543297290802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2972571551799774},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2016.7541266","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541266","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1600293573","https://openalex.org/W1657130172","https://openalex.org/W2033546746","https://openalex.org/W2034815954","https://openalex.org/W2039528926","https://openalex.org/W2096667287","https://openalex.org/W2123051422","https://openalex.org/W2124608575","https://openalex.org/W2130507035","https://openalex.org/W2171844485","https://openalex.org/W2962932213","https://openalex.org/W2964170835","https://openalex.org/W4230952094","https://openalex.org/W4248101621","https://openalex.org/W6658471458"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2361403716","https://openalex.org/W2904061867","https://openalex.org/W4289115725","https://openalex.org/W2967798957","https://openalex.org/W3144644423","https://openalex.org/W2024384195"],"abstract_inverted_index":{"Let":[0],"X*":[1,54,166,184,202],"be":[2,90],"a":[3,57,99,102,146,168,207,216],"n":[4,9,30,43],"<sub":[5,10,18,26,31,39,44,85],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,11,19,27,32,40,45,86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[7,28,41],"\u00d7":[8],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[12,20,33,46],"matrix":[13,100,110],"with":[14,101,125,203],"entries":[15],"in":[16,71,119,140,190],"F":[17,84],"and":[21,73,118,158,180,198,224],"rank":[22,96],"r":[23,36],"<;":[24],"min(n":[25,38],",":[29,42],")":[34,88],"(often":[35],"\u226a":[37],")).":[47],"We":[48,144,174,213],"consider":[49],"the":[50,94,141,156,178,187,194],"problem":[51,63,108],"of":[52,59,98,104,109,160,171,183,196,210,220],"reconstructing":[53],"given":[55,167],"only":[56],"subset":[58,103,170],"its":[60,172,211],"entries.":[61,106,173,212],"This":[62],"has":[64,115],"recently":[65],"found":[66],"numerous":[67],"applications,":[68],"most":[69],"notably":[70],"network":[72],"index":[74],"coding,":[75],"where":[76],"finding":[77,93],"optimal":[78],"linear":[79,147,217],"codes":[80],"(over":[81],"some":[82],"field":[83],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[87],"can":[89,199],"reduced":[91],"to":[92,133,162,164],"minimum":[95],"completion":[97,111],"revealed":[105],"The":[107],"over":[112],"reals":[113],"also":[114],"many":[116],"applications":[117],"recent":[120],"years":[121],"several":[122],"polynomial-time":[123],"algorithms":[124,136],"provable":[126],"recovery":[127],"guarantees":[128],"have":[129],"been":[130],"developed.":[131],"However,":[132],"date,":[134],"such":[135],"do":[137],"not":[138],"exist":[139],"finite-field":[142],"case.":[143],"propose":[145,215],"algebraic":[148],"algorithm,":[149,223],"based":[150],"on":[151,177],"inferring":[152],"low-weight":[153],"relations":[154],"among":[155],"rows":[157],"columns":[159],"X*,":[161],"attempt":[163],"complete":[165,201],"random":[169],"establish":[175],"conditions":[176],"row":[179],"column":[181],"spaces":[182],"under":[185],"which":[186],"algorithm":[188],"runs":[189],"polynomial":[191],"time":[192],"(in":[193],"size":[195],"X*)":[197],"successfully":[200],"high":[204],"probability":[205],"from":[206],"vanishing":[208],"fraction":[209],"then":[214],"programming-based":[218],"extension":[219],"our":[221],"basic":[222],"evaluate":[225],"it":[226],"empirically.":[227]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
