{"id":"https://openalex.org/W2056405837","doi":"https://doi.org/10.1109/tsp.2011.2144977","title":"Subspace Evolution and Transfer (SET) for Low-Rank Matrix Completion","display_name":"Subspace Evolution and Transfer (SET) for Low-Rank Matrix Completion","publication_year":2011,"publication_date":"2011-04-26","ids":{"openalex":"https://openalex.org/W2056405837","doi":"https://doi.org/10.1109/tsp.2011.2144977","mag":"2056405837"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.2144977","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2144977","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1006.2195","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100752236","display_name":"Wei Dai","orcid":"https://orcid.org/0000-0002-4781-3485"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Wei Dai","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084947882","display_name":"Olgica Milenkovi\u0107","orcid":"https://orcid.org/0000-0002-1871-4912"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olgica Milenkovic","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA","Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045966900","display_name":"Ely Kerman","orcid":"https://orcid.org/0000-0003-3711-6798"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ely Kerman","raw_affiliation_strings":["Department of Mathematics, University of Illinois, Urbana-Champaign, Urbana, IL, USA","Dept. of Math., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Math., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100752236"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":8.0985,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.98006573,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"59","issue":"7","first_page":"3120","last_page":"3132"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11946","display_name":"Antenna Design and Optimization","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/subspace-topology","display_name":"Subspace topology","score":0.6799914836883545},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.6209884285926819},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4890952706336975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48535528779029846},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.47525450587272644},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4638298749923706},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43567994236946106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39524975419044495},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39012953639030457},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36171457171440125},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3450455665588379},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31383445858955383},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1765402853488922}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6799914836883545},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.6209884285926819},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4890952706336975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48535528779029846},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.47525450587272644},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4638298749923706},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43567994236946106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39524975419044495},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39012953639030457},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36171457171440125},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3450455665588379},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31383445858955383},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1765402853488922},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2011.2144977","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2144977","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"},{"id":"pmh:oai:arXiv.org:1006.2195","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.2195","pdf_url":"https://arxiv.org/pdf/1006.2195","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":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.748.2115","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.748.2115","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/1006.2195.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1006.2195","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.2195","pdf_url":"https://arxiv.org/pdf/1006.2195","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W291003596","https://openalex.org/W1573301526","https://openalex.org/W2000157792","https://openalex.org/W2011359124","https://openalex.org/W2045512849","https://openalex.org/W2096154138","https://openalex.org/W2103972604","https://openalex.org/W2111297856","https://openalex.org/W2134332047","https://openalex.org/W2136015602","https://openalex.org/W2143198668","https://openalex.org/W2149784569","https://openalex.org/W2158923808","https://openalex.org/W2160979406","https://openalex.org/W2169448252","https://openalex.org/W2289917018","https://openalex.org/W2339666411","https://openalex.org/W2611328865","https://openalex.org/W2616032753","https://openalex.org/W2949834189","https://openalex.org/W2950957859","https://openalex.org/W2951443864","https://openalex.org/W2951927428","https://openalex.org/W2963322354","https://openalex.org/W3104501706","https://openalex.org/W3173138228","https://openalex.org/W4293775970","https://openalex.org/W6674539132"],"related_works":["https://openalex.org/W2952489973","https://openalex.org/W2106005123","https://openalex.org/W4300776969","https://openalex.org/W4301205717","https://openalex.org/W2788210652","https://openalex.org/W2266965707","https://openalex.org/W2972830027","https://openalex.org/W4387323768","https://openalex.org/W3144354057","https://openalex.org/W3213035342"],"abstract_inverted_index":{"We":[0],"describe":[1],"a":[2,24,29,50,79,117,152],"new":[3,118],"algorithm,":[4],"termed":[5],"subspace":[6,71],"evolution":[7,69,75],"and":[8,32,70,123],"transfer":[9,139],"(SET),":[10],"for":[11,49,120,151],"solving":[12],"consistent":[13,37],"low-rank":[14,30,35],"matrix":[15,31,36],"completion":[16,43],"problems.":[17],"The":[18,42,62,144],"algorithm":[19,64,99,146],"takes":[20],"as":[21],"its":[22],"input":[23],"subset":[25],"of":[26,28,66,91,109,137,141,155],"entries":[27],"outputs":[33],"one":[34],"with":[38],"the":[39,54,59,74,84,92,96,107,112,125,130,135,138,142],"given":[40],"observations.":[41,61],"task":[44],"is":[45,100],"accomplished":[46],"by":[47],"searching":[48],"column":[51,93,127],"space":[52,128],"in":[53],"Grassmann":[55,85],"manifold":[56,86],"that":[57],"matches":[58],"incomplete":[60],"SET":[63,145],"consists":[65],"two":[67],"parts-subspace":[68],"transfer.":[72],"In":[73],"part,":[76],"we":[77,115],"use":[78],"gradient":[80,97],"descent":[81,98],"method":[82],"on":[83],"to":[87,103,106],"refine":[88],"our":[89],"estimate":[90],"space.":[94],"Since":[95],"not":[101],"guaranteed":[102],"converge":[104],"due":[105],"existence":[108],"barriers":[110,122],"along":[111],"search":[113],"path,":[114],"design":[116],"mechanism":[119,133],"detecting":[121],"transferring":[124],"estimated":[126],"across":[129],"barriers.":[131],"This":[132],"constitutes":[134],"core":[136],"step":[140],"algorithm.":[143],"exhibits":[147],"excellent":[148],"empirical":[149],"performance":[150],"large":[153],"range":[154],"sampling":[156],"rates.":[157]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}