{"id":"https://openalex.org/W3098127185","doi":"https://doi.org/10.1109/jsait.2020.3039170","title":"Structured Alternating Minimization for Union of Nested Low-Rank Subspaces Data Completion","display_name":"Structured Alternating Minimization for Union of Nested Low-Rank Subspaces Data Completion","publication_year":2020,"publication_date":"2020-11-01","ids":{"openalex":"https://openalex.org/W3098127185","doi":"https://doi.org/10.1109/jsait.2020.3039170","mag":"3098127185"},"language":"en","primary_location":{"id":"doi:10.1109/jsait.2020.3039170","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsait.2020.3039170","pdf_url":null,"source":{"id":"https://openalex.org/S4210211895","display_name":"IEEE Journal on Selected Areas in Information Theory","issn_l":"2641-8770","issn":["2641-8770"],"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 Journal on Selected Areas in Information Theory","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/A5035440978","display_name":"Morteza Ashraphijuo","orcid":"https://orcid.org/0000-0001-9324-620X"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Morteza Ashraphijuo","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100382658","display_name":"Xiaodong Wang","orcid":"https://orcid.org/0000-0002-2945-9240"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaodong Wang","raw_affiliation_strings":["Columbia University, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035440978"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14067715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"1","issue":"3","first_page":"632","last_page":"644"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/linear-subspace","display_name":"Linear subspace","score":0.7002097964286804},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6219316124916077},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43781083822250366},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3963453769683838},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3442305326461792},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.3345482647418976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2735918164253235},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10472708940505981}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7002097964286804},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6219316124916077},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43781083822250366},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3963453769683838},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3442305326461792},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.3345482647418976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2735918164253235},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10472708940505981}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsait.2020.3039170","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsait.2020.3039170","pdf_url":null,"source":{"id":"https://openalex.org/S4210211895","display_name":"IEEE Journal on Selected Areas in Information Theory","issn_l":"2641-8770","issn":["2641-8770"],"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 Journal on Selected Areas in Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1652621026","display_name":null,"funder_award_id":"N000141712827","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G2451071410","display_name":null,"funder_award_id":"CCF-1814803","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"},{"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":54,"referenced_works":["https://openalex.org/W79405465","https://openalex.org/W1580960713","https://openalex.org/W1985564872","https://openalex.org/W1996800636","https://openalex.org/W2009234819","https://openalex.org/W2029437570","https://openalex.org/W2048050794","https://openalex.org/W2078677240","https://openalex.org/W2081962379","https://openalex.org/W2091449379","https://openalex.org/W2106005123","https://openalex.org/W2109240917","https://openalex.org/W2118154608","https://openalex.org/W2119661745","https://openalex.org/W2121148353","https://openalex.org/W2124608575","https://openalex.org/W2127193211","https://openalex.org/W2131565286","https://openalex.org/W2131866613","https://openalex.org/W2136559714","https://openalex.org/W2143920871","https://openalex.org/W2145152441","https://openalex.org/W2148507357","https://openalex.org/W2150414161","https://openalex.org/W2151155403","https://openalex.org/W2164931791","https://openalex.org/W2177347332","https://openalex.org/W2197707282","https://openalex.org/W2521692805","https://openalex.org/W2566608758","https://openalex.org/W2611328865","https://openalex.org/W2782668701","https://openalex.org/W2906700604","https://openalex.org/W2913935587","https://openalex.org/W2957946950","https://openalex.org/W2963328634","https://openalex.org/W2963472624","https://openalex.org/W2964072480","https://openalex.org/W2967351922","https://openalex.org/W2996534391","https://openalex.org/W2999505522","https://openalex.org/W3010738154","https://openalex.org/W3011698372","https://openalex.org/W3012332997","https://openalex.org/W3026653732","https://openalex.org/W3102775077","https://openalex.org/W3105489725","https://openalex.org/W3148325197","https://openalex.org/W4294373705","https://openalex.org/W6603183647","https://openalex.org/W6657829019","https://openalex.org/W6677511710","https://openalex.org/W6740257388","https://openalex.org/W6777646902"],"related_works":["https://openalex.org/W2391321755","https://openalex.org/W2896134808","https://openalex.org/W3103861421","https://openalex.org/W4211228991","https://openalex.org/W2949110394","https://openalex.org/W2353790329","https://openalex.org/W2279743781","https://openalex.org/W140666874","https://openalex.org/W1978233018","https://openalex.org/W1963929401"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,28,49,88,168],"consider":[4],"a":[5,11,61,91,107,115,125],"particular":[6],"data":[7,20,31,57,204],"structure":[8,58],"consisting":[9],"of":[10,13,25,44,54,73,156],"union":[12,53],"several":[14],"nested":[15,55],"low-rank":[16],"subspaces":[17,56],"with":[18,192],"missing":[19,38],"entries.":[21,39],"Given":[22],"the":[23,30,37,42,52,68,79,160,182,189,197,211],"rank":[24,80,161,199],"each":[26,186],"subspace,":[27],"treat":[29],"completion":[32,205],"problem,":[33],"i.e.,":[34,47,86],"to":[35,60],"estimate":[36],"Starting":[40],"from":[41],"case":[43],"two-dimensional":[45],"data,":[46,85],"matrices,":[48],"show":[50,89],"that":[51,75,90],"leads":[59],"structured":[62,93,166,213],"decomposition":[63,95],"U":[64,98],"=":[65,99,138],"XY":[66],"where":[67,133,195],"factor":[69],"Y":[70],"has":[71],"blocks":[72,155],"zeros":[74,157],"are":[76,201],"determined":[77,158],"by":[78,159,180,209],"values.":[81,162],"Moreover,":[82],"for":[83,174],"high-dimensional":[84],"tensors,":[87],"similar":[92],"CP":[94],"also":[96],"exists,":[97],"\u03a3":[100],"<sub":[101,108,116,126,135,140,147],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[102,105,109,112,117,120,127,130,136,141,144,148,151],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">l=1</sub>":[103],"<sup":[104,111,119,129,143,150],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">r</sup>":[106,152],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[110],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">l</sup>":[113,121,131],"\u2297":[114,122,124],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[118],"\u00b7\u00b7\u00b7":[123],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</sub>":[128,137,142,149],",":[132],"A":[134],"[a":[139],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[145],"\u00b7\u00b7\u00b7a":[146],"]":[153],"contains":[154],"Based":[163],"on":[164],"such":[165],"decompositions,":[167],"develop":[169],"efficient":[170],"alternating":[171,214],"minimization":[172,215],"algorithms":[173],"both":[175],"matrix":[176],"and":[177,220],"tensor":[178],"completions,":[179],"enforcing":[181],"above":[183],"structures":[184],"in":[185],"iteration":[187],"including":[188],"initialization.":[190],"Compared":[191],"naive":[193],"approaches":[194,216],"either":[196],"additional":[198],"constraints":[200],"ignored,":[202],"or":[203],"is":[206],"performed":[207],"part":[208],"part,":[210],"proposed":[212],"exhibit":[217],"faster":[218],"convergence":[219],"higher":[221],"recovery":[222],"accuracy.":[223]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
