{"id":"https://openalex.org/W2811042045","doi":"https://doi.org/10.3390/a11070094","title":"Tensor Completion Based on Triple Tubal Nuclear Norm","display_name":"Tensor Completion Based on Triple Tubal Nuclear Norm","publication_year":2018,"publication_date":"2018-06-28","ids":{"openalex":"https://openalex.org/W2811042045","doi":"https://doi.org/10.3390/a11070094","mag":"2811042045"},"language":"en","primary_location":{"id":"doi:10.3390/a11070094","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a11070094","pdf_url":"https://www.mdpi.com/1999-4893/11/7/94/pdf?version=1530261301","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/11/7/94/pdf?version=1530261301","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034883264","display_name":"Dongxu Wei","orcid":"https://orcid.org/0000-0002-1306-1641"},"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, Huaian 223300, China","School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China","School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huaian 223300, China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Province Key Construction Laboratory of Modern Measurement Technology and Intelligent System, Huaian 223300, China","institution_ids":[]},{"raw_affiliation_string":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huaian 223300, 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 210094, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","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, Huaian 223300, China"],"affiliations":[{"raw_affiliation_string":"School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huaian 223300, China","institution_ids":["https://openalex.org/I4210147117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100383954","display_name":"Boyu Wang","orcid":"https://orcid.org/0000-0002-6108-3589"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Boyu Wang","raw_affiliation_strings":["Jiangsu Shuoshi Welding Technology Co., Ltd., Nanjing 211103, China","Jiangsu Yaoshi Software Technology Co., Ltd., Nanjing 211103, China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Shuoshi Welding Technology Co., Ltd., Nanjing 211103, China","institution_ids":[]},{"raw_affiliation_string":"Jiangsu Yaoshi Software Technology Co., Ltd., Nanjing 211103, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100723898","display_name":"Bo Wang","orcid":"https://orcid.org/0000-0003-3327-2646"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bo Wang","raw_affiliation_strings":["Jiangsu Shuoshi Welding Technology Co., Ltd., Nanjing 211103, China","Jiangsu Yaoshi Software Technology Co., Ltd., Nanjing 211103, China"],"affiliations":[{"raw_affiliation_string":"Jiangsu Shuoshi Welding Technology Co., Ltd., Nanjing 211103, China","institution_ids":[]},{"raw_affiliation_string":"Jiangsu Yaoshi Software Technology Co., Ltd., Nanjing 211103, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5034883264"],"corresponding_institution_ids":["https://openalex.org/I36399199","https://openalex.org/I4210147117"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.859,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.66293706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"7","first_page":"94","last_page":"94"},"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9873999953269958,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.7693228721618652},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6609227061271667},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.633093535900116},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.6213737726211548},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.6113110184669495},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6027726531028748},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5496693849563599},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.48644423484802246},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3978554606437683},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39785411953926086},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3475795090198517},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34642988443374634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3176015317440033},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.12351712584495544},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1184723973274231},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10987204313278198}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.7693228721618652},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6609227061271667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.633093535900116},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.6213737726211548},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.6113110184669495},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6027726531028748},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5496693849563599},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.48644423484802246},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3978554606437683},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39785411953926086},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3475795090198517},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34642988443374634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3176015317440033},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.12351712584495544},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1184723973274231},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10987204313278198},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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":3,"locations":[{"id":"doi:10.3390/a11070094","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a11070094","pdf_url":"https://www.mdpi.com/1999-4893/11/7/94/pdf?version=1530261301","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1faca41587954b9b950b8a8c7a24eb81","is_oa":true,"landing_page_url":"https://doaj.org/article/1faca41587954b9b950b8a8c7a24eb81","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":"Algorithms, Vol 11, Iss 7, p 94 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/11/7/94/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/a11070094","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a11070094","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a11070094","pdf_url":"https://www.mdpi.com/1999-4893/11/7/94/pdf?version=1530261301","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4181407423","display_name":null,"funder_award_id":"61702262, 61703209, 91420201, 61472187","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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2811042045.pdf","grobid_xml":"https://content.openalex.org/works/W2811042045.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W1517295252","https://openalex.org/W1521672915","https://openalex.org/W1568416770","https://openalex.org/W1798398164","https://openalex.org/W1919986261","https://openalex.org/W1922005389","https://openalex.org/W1963826206","https://openalex.org/W1992426838","https://openalex.org/W2000015923","https://openalex.org/W2009049605","https://openalex.org/W2024165284","https://openalex.org/W2030628896","https://openalex.org/W2030927653","https://openalex.org/W2030928609","https://openalex.org/W2079705627","https://openalex.org/W2080843093","https://openalex.org/W2091449379","https://openalex.org/W2103972604","https://openalex.org/W2106904876","https://openalex.org/W2110355775","https://openalex.org/W2119412403","https://openalex.org/W2133665775","https://openalex.org/W2134332047","https://openalex.org/W2147512299","https://openalex.org/W2149403928","https://openalex.org/W2152273324","https://openalex.org/W2159023782","https://openalex.org/W2197175231","https://openalex.org/W2227402067","https://openalex.org/W2364072717","https://openalex.org/W2516041031","https://openalex.org/W2527153419","https://openalex.org/W2600847126","https://openalex.org/W2605190428","https://openalex.org/W2738537049","https://openalex.org/W2762772695","https://openalex.org/W2765145408","https://openalex.org/W2775406537","https://openalex.org/W2790875733","https://openalex.org/W2795056451","https://openalex.org/W2962915592","https://openalex.org/W2962969976","https://openalex.org/W2963328634","https://openalex.org/W2963919940","https://openalex.org/W2963931849","https://openalex.org/W2964214749","https://openalex.org/W3105677939","https://openalex.org/W3121448773","https://openalex.org/W4292363360","https://openalex.org/W4301403801","https://openalex.org/W6670867464"],"related_works":["https://openalex.org/W3009999902","https://openalex.org/W2292408035","https://openalex.org/W2273310822","https://openalex.org/W4327737062","https://openalex.org/W4291238690","https://openalex.org/W2794806126","https://openalex.org/W2111916456","https://openalex.org/W4294217112","https://openalex.org/W2613777934","https://openalex.org/W2953204310"],"abstract_inverted_index":{"Many":[0],"tasks":[1],"in":[2,9,27,31,43,56,95],"computer":[3],"vision":[4],"suffer":[5],"from":[6],"missing":[7,29],"values":[8,30],"tensor":[10,19,76,117,145],"data,":[11,34],"i.e.,":[12],"multi-way":[13],"data":[14],"array.":[15],"The":[16],"recently":[17],"proposed":[18,86,139],"tubal":[20,81],"nuclear":[21,82,143],"norm":[22,77,83],"(TNN)":[23],"has":[24],"shown":[25],"superiority":[26,136],"imputing":[28],"3D":[32],"visual":[33],"like":[35],"color":[36,128],"images":[37],"and":[38,64,92,131],"videos.":[39],"However,":[40],"by":[41,99],"interpreting":[42],"a":[44,57,74,96,101,115],"circulant":[45,58,97],"way,":[46],"TNN":[47],"only":[48],"exploits":[49],"tube":[50],"(often":[51,66],"carrying":[52,67],"temporal/channel":[53],"information)":[54,69],"redundancy":[55,94],"way":[59,98],"while":[60],"preserving":[61],"the":[62,79,135,138],"row":[63,91],"column":[65,93],"spatial":[68],"relationship.":[70],"In":[71],"this":[72],"paper,":[73],"new":[75],"named":[78],"triple":[80],"(TriTNN)":[84],"is":[85,124],"to":[87],"simultaneously":[88],"exploit":[89],"tube,":[90],"using":[100],"weighted":[102],"sum":[103],"of":[104,137],"three":[105],"TNNs.":[106],"Thus,":[107],"more":[108],"spatial-temporal":[109],"information":[110],"can":[111],"be":[112],"mined.":[113],"Further,":[114],"TriTNN-based":[116],"completion":[118],"model":[119],"with":[120],"an":[121],"ADMM":[122],"solver":[123],"developed.":[125],"Experiments":[126],"on":[127],"images,":[129],"videos":[130],"LiDAR":[132],"datasets":[133],"show":[134],"TriTNN":[140],"against":[141],"state-of-the-art":[142],"norm-based":[144],"norms.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}