{"id":"https://openalex.org/W2949212323","doi":"https://doi.org/10.1137/1.9781611973099.95","title":"Optimal Column-Based Low-Rank Matrix Reconstruction","display_name":"Optimal Column-Based Low-Rank Matrix Reconstruction","publication_year":2012,"publication_date":"2012-01-17","ids":{"openalex":"https://openalex.org/W2949212323","doi":"https://doi.org/10.1137/1.9781611973099.95","mag":"2949212323"},"language":"en","primary_location":{"id":"doi:10.1137/1.9781611973099.95","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611973099.95","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1104.1732","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068388812","display_name":"Venkatesan Guruswami","orcid":"https://orcid.org/0000-0001-7926-3396"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Venkatesan Guruswami","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, Pittsburgh, PAComputer Science Department, Carnegie Mellon University, Pittsburgh, PA","Carnegie Mellon University, Pittsburgh, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, Pittsburgh, PAComputer Science Department, Carnegie Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086919065","display_name":"Ali Kemal Sinop","orcid":"https://orcid.org/0000-0001-6550-6027"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ali Kemal Sinop","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, Pittsburgh, PAComputer Science Department, Carnegie Mellon University, Pittsburgh, PA","Carnegie Mellon University, Pittsburgh, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, Pittsburgh, PAComputer Science Department, Carnegie Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1207","last_page":"1214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/exponent","display_name":"Exponent","score":0.7267590761184692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7198815941810608},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7046833634376526},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.6670161485671997},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6504050493240356},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6345446109771729},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5954635739326477},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.5561385154724121},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5102322101593018},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.4577734172344208},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4364510476589203},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4222068190574646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4073575735092163},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3229266405105591},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09519386291503906},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0819970965385437}],"concepts":[{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.7267590761184692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7198815941810608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7046833634376526},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.6670161485671997},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6504050493240356},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6345446109771729},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5954635739326477},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.5561385154724121},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5102322101593018},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.4577734172344208},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4364510476589203},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4222068190574646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4073575735092163},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3229266405105591},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09519386291503906},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0819970965385437},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":12,"locations":[{"id":"doi:10.1137/1.9781611973099.95","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611973099.95","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1104.1732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.1732","pdf_url":"https://arxiv.org/pdf/1104.1732","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":"","raw_type":"text"},{"id":"mag:2949212323","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1104.1732","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:repository.cmu.edu:compsci-3646","is_oa":false,"landing_page_url":"http://repository.cmu.edu/cgi/viewcontent.cgi?article=3646&context=compsci","pdf_url":null,"source":{"id":"https://openalex.org/S4306400668","display_name":"Research Showcase @ Carnegie Mellon University (Carnegie Mellon University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74973139","host_organization_name":"Carnegie Mellon University","host_organization_lineage":["https://openalex.org/I74973139"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science Department","raw_type":"text"},{"id":"pmh:doi:10.1184/r1/6608099","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Journal contribution"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.1029.3493","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1029.3493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://repository.cmu.edu/cgi/viewcontent.cgi?article%3D3646%26context%3Dcompsci","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.231.8606","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.231.8606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://siam.omnibooksonline.com/2012SODA/data/papers/404.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.567.6596","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.567.6596","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ias.edu/~asinop/pubs/column_selection-gs11.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.767.221","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.767.221","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1104.1732.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1104.1732","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1104.1732","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.1184/r1/6608099","is_oa":true,"landing_page_url":"https://doi.org/10.1184/r1/6608099","pdf_url":null,"source":{"id":"https://openalex.org/S7407050927","display_name":"KiltHub Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"},{"id":"doi:10.1184/r1/6608099.v1","is_oa":true,"landing_page_url":"https://doi.org/10.1184/r1/6608099.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050927","display_name":"KiltHub Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1104.1732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.1732","pdf_url":"https://arxiv.org/pdf/1104.1732","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2218691963","display_name":"Collaborative Research: CDI-Type I: Realizing the Ultimate Potential of List Error-Correction: Theory, Practice, and Applications","funder_award_id":"0953155","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5735448797","display_name":"AF:  Medium:  New Directions in Coding Theory and Pseudorandomness","funder_award_id":"0963975","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7513737132","display_name":"AF: Small: Some Frontiers in the Approximability of Constraint Satisfaction and Related Problems","funder_award_id":"1115525","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7621784418","display_name":null,"funder_award_id":"CCF-1115525","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8564812914","display_name":null,"funder_award_id":"CCF-0963975","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2949212323.pdf","grobid_xml":"https://content.openalex.org/works/W2949212323.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1554201860","https://openalex.org/W1886138972","https://openalex.org/W2044610104","https://openalex.org/W2045390367","https://openalex.org/W2089135543","https://openalex.org/W2141696759","https://openalex.org/W3037079313"],"related_works":["https://openalex.org/W2966385137","https://openalex.org/W1524253248","https://openalex.org/W1787402657","https://openalex.org/W2053637543","https://openalex.org/W2935701340","https://openalex.org/W2970810162","https://openalex.org/W2510425678","https://openalex.org/W3043639563","https://openalex.org/W2570025454","https://openalex.org/W2951155516","https://openalex.org/W3035014139","https://openalex.org/W2397017720","https://openalex.org/W2020301027","https://openalex.org/W2075291304","https://openalex.org/W3138444094","https://openalex.org/W2966477055","https://openalex.org/W2246418696","https://openalex.org/W1939881310","https://openalex.org/W2059867647","https://openalex.org/W2982624330"],"abstract_inverted_index":{"We":[0,44,96],"prove":[1],"that":[2,26,46,80,103],"for":[3],"any":[4],"real-valued":[5],"matrix":[6,94],"X":[7,24,28,40],"\u220a":[8],"\u211dm\u00d7n,":[9],"and":[10,56],"positive":[11],"integers":[12],"r":[13,21],"\u2265":[14],"k,":[15],"there":[16,68],"is":[17,60,69,90],"a":[18,33,70,76,99],"subset":[19,77],"of":[20,23,39,54,78,93],"columns":[22,55,79],"such":[25,75],"projecting":[27],"onto":[29],"their":[30],"span":[31],"gives":[32],"-approximation":[34],"to":[35,63,73],"best":[36],"rank-k":[37],"approximation":[38,58],"in":[41,82,105],"Frobenius":[42],"norm.":[43],"show":[45],"the":[47,52,57,91],"trade-off":[48],"we":[49],"achieve":[50],"between":[51],"number":[53],"ratio":[59],"optimal":[61],"up":[62],"lower":[64],"order":[65],"terms.":[66],"Furthermore,":[67],"deterministic":[71],"algorithm":[72,102],"find":[74],"runs":[81,104],"O(rnm\u03c9":[83],"log":[84],"m)":[85],"arithmetic":[86,107],"operations":[87],"where":[88],"\u03c9":[89],"exponent":[92],"multiplication.":[95],"also":[97],"give":[98],"faster":[100],"randomized":[101],"O(rnm2)":[106],"operations.":[108]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}