{"id":"https://openalex.org/W2790875733","doi":"https://doi.org/10.1109/access.2018.2811396","title":"Tensor Completion Using Spectral $(k,p)$ -Support Norm","display_name":"Tensor Completion Using Spectral $(k,p)$ -Support Norm","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2790875733","doi":"https://doi.org/10.1109/access.2018.2811396","mag":"2790875733"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2811396","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2811396","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2811396","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101636129","display_name":"Dongxu Wei","orcid":"https://orcid.org/0000-0003-1407-605X"},"institutions":[{"id":"https://openalex.org/I4210147117","display_name":"Huaiyin Normal University","ror":"https://ror.org/03xvggv44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147117"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongxu Wei","raw_affiliation_strings":["Jiangsu Province Key Construction Laboratory of Modern Measurement Technology and Intelligent System, Huai\u2019an, China","School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, China","School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai\u2019an, China","Jiangsu Province Key Construction Laboratory of Modern Measurement Technology and Intelligent System, Huai'an, China","School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai'an, China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Province Key Construction Laboratory of Modern Measurement Technology and Intelligent System, Huai\u2019an, China","institution_ids":[]},{"raw_affiliation_string":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai\u2019an, China","institution_ids":["https://openalex.org/I4210147117"]},{"raw_affiliation_string":"Jiangsu Province Key Construction Laboratory of Modern Measurement Technology and Intelligent System, Huai'an, China","institution_ids":[]},{"raw_affiliation_string":"School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai'an, China","institution_ids":["https://openalex.org/I4210147117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008066034","display_name":"Andong Wang","orcid":"https://orcid.org/0000-0003-0412-2120"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Andong Wang","raw_affiliation_strings":["School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108063768","display_name":"Bo Wang","orcid":"https://orcid.org/0000-0001-7312-0837"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bo Wang","raw_affiliation_strings":["Jiangsu Shuoshi Welding Technology Company, Ltd., Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Shuoshi Welding Technology Company, Ltd., Nanjing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110369198","display_name":"Xiaoqin Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I4210147117","display_name":"Huaiyin Normal University","ror":"https://ror.org/03xvggv44","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147117"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoqin Feng","raw_affiliation_strings":["School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai\u2019an, China","School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai'an, China"],"affiliations":[{"raw_affiliation_string":"School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai\u2019an, China","institution_ids":["https://openalex.org/I4210147117"]},{"raw_affiliation_string":"School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai'an, China","institution_ids":["https://openalex.org/I4210147117"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101636129"],"corresponding_institution_ids":["https://openalex.org/I36399199","https://openalex.org/I4210147117"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.9817,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69090909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"11559","last_page":"11572"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9998999834060669,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976000189781189,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9491000175476074,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7185665965080261},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.6799329519271851},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6077452301979065},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5732552409172058},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5240585803985596},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5008580684661865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48256200551986694},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4762156903743744},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44953209161758423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3848893642425537},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.182766854763031},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.15153655409812927},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0954749584197998}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7185665965080261},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.6799329519271851},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6077452301979065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5732552409172058},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5240585803985596},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5008580684661865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48256200551986694},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4762156903743744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44953209161758423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3848893642425537},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.182766854763031},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.15153655409812927},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0954749584197998},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2811396","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2811396","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d80514f5b2d74bbe98cc699efa4bc075","is_oa":true,"landing_page_url":"https://doaj.org/article/d80514f5b2d74bbe98cc699efa4bc075","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 11559-11572 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2811396","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2811396","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5656524672","display_name":null,"funder_award_id":"91420201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6588797881","display_name":null,"funder_award_id":"61703209","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7730201639","display_name":null,"funder_award_id":"61373063","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8367081262","display_name":null,"funder_award_id":"61601235","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324884","display_name":"Huaiyin Normal University","ror":"https://ror.org/03xvggv44"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W850425088","https://openalex.org/W1517295252","https://openalex.org/W1521672915","https://openalex.org/W1547968147","https://openalex.org/W1638985343","https://openalex.org/W1963826206","https://openalex.org/W1999136078","https://openalex.org/W2024165284","https://openalex.org/W2029213856","https://openalex.org/W2030628896","https://openalex.org/W2030927653","https://openalex.org/W2038891887","https://openalex.org/W2079705627","https://openalex.org/W2087425408","https://openalex.org/W2091449379","https://openalex.org/W2095534914","https://openalex.org/W2103537693","https://openalex.org/W2104050041","https://openalex.org/W2106904876","https://openalex.org/W2118080949","https://openalex.org/W2118550318","https://openalex.org/W2119412403","https://openalex.org/W2121739212","https://openalex.org/W2134332047","https://openalex.org/W2147512299","https://openalex.org/W2152273324","https://openalex.org/W2159023782","https://openalex.org/W2164278908","https://openalex.org/W2185924058","https://openalex.org/W2268674159","https://openalex.org/W2364072717","https://openalex.org/W2412278696","https://openalex.org/W2431890537","https://openalex.org/W2469230926","https://openalex.org/W2516041031","https://openalex.org/W2528907418","https://openalex.org/W2539067236","https://openalex.org/W2552259797","https://openalex.org/W2720336929","https://openalex.org/W2762772695","https://openalex.org/W2767962166","https://openalex.org/W2770071122","https://openalex.org/W2775406537","https://openalex.org/W2950176250","https://openalex.org/W2952533732","https://openalex.org/W2963112220","https://openalex.org/W2963328634","https://openalex.org/W2963472624","https://openalex.org/W2963705450","https://openalex.org/W2963852766","https://openalex.org/W2963980562","https://openalex.org/W3015031642","https://openalex.org/W3098683815","https://openalex.org/W3098807808","https://openalex.org/W3105677939","https://openalex.org/W3124414826","https://openalex.org/W3125671026","https://openalex.org/W4249667877","https://openalex.org/W4292363360","https://openalex.org/W4294368577","https://openalex.org/W4301403801","https://openalex.org/W6631323259","https://openalex.org/W6632803510","https://openalex.org/W6636904114","https://openalex.org/W6670867464","https://openalex.org/W6675778394","https://openalex.org/W6677826147","https://openalex.org/W6683539301","https://openalex.org/W6686292137","https://openalex.org/W6689098202"],"related_works":["https://openalex.org/W3121932492","https://openalex.org/W2776058083","https://openalex.org/W4292636185","https://openalex.org/W2050785904","https://openalex.org/W2136348949","https://openalex.org/W4210544666","https://openalex.org/W4401571858","https://openalex.org/W2962732538","https://openalex.org/W2010100052","https://openalex.org/W3104088881"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,24,35,60,70,73,82,92,97,102,106,113,127,131,137,150,155,159,171,179],"goal":[4],"is":[5,26],"to":[6,28],"reconstruct":[7],"a":[8,11,30,49,66],"tensor,":[9],"i.e.,":[10],"multi-dimensional":[12],"array,":[13],"when":[14],"only":[15,111],"subsets":[16],"of":[17,72,79,105,130,158],"its":[18,39],"entries":[19],"are":[20,143],"observed.":[21],"For":[22],"well-posedness,":[23],"tensor":[25,37],"assumed":[27],"have":[29],"low-Tucker-rank":[31],"structure.":[32],"To":[33,57,125],"estimate":[34],"underlying":[36],"from":[38,96],"partial":[40],"observations,":[41],"we":[42,62],"first":[43,114],"propose":[44],"an":[45],"estimator":[46],"based":[47,176,182],"on":[48,136,164],"newly":[50],"defined":[51],"balanced":[52],"spectral":[53,74,172],"(k,":[54,75,107,173],"p)-support":[55,76,108,174],"norm.":[56,77],"efficiently":[58],"compute":[59],"estimator,":[61,133],"come":[63],"up":[64],"with":[65],"scalable":[67,156],"algorithm":[68,94],"for":[69],"minimization":[71],"Instead":[78],"directly":[80],"solving":[81],"primal":[83],"problem":[84],"which":[85,110],"involves":[86],"full":[87],"SVD":[88],"in":[89,122],"each":[90,123],"iteration,":[91],"proposed":[93,132],"benefits":[95],"Lagrangian":[98],"dual":[99,103],"through":[100],"minimizing":[101],"norm":[104,109,175,181],"computes":[112],"k":[115],"leading":[116],"singular":[117,120],"values":[118],"and":[119,140,166],"vectors":[121],"iteration.":[124],"explore":[126],"statistical":[128],"performance":[129],"upper":[134],"bounds":[135,152],"sample":[138],"complexity":[139],"estimation":[141,160],"error":[142,151],"then":[144],"established.":[145],"Simulation":[146],"studies":[147],"confirm":[148],"that":[149,170],"can":[153],"predict":[154],"behavior":[157],"error.":[161],"Experimental":[162],"results":[163],"synthetic":[165],"real":[167],"datasets":[168],"demonstrate":[169],"method":[177],"outperforms":[178],"nuclear":[180],"ones.":[183]},"counts_by_year":[{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
