{"id":"https://openalex.org/W4294190765","doi":"https://doi.org/10.1080/00207160.2022.2118525","title":"Low tubal rank tensor completion based on singular value factors","display_name":"Low tubal rank tensor completion based on singular value factors","publication_year":2022,"publication_date":"2022-09-01","ids":{"openalex":"https://openalex.org/W4294190765","doi":"https://doi.org/10.1080/00207160.2022.2118525"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2022.2118525","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2022.2118525","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5014741384","display_name":"Zihao Song","orcid":null},"institutions":[{"id":"https://openalex.org/I199305430","display_name":"Nantong University","ror":"https://ror.org/02afcvw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I199305430"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zihao Song","raw_affiliation_strings":["School of Science, Nantong University, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Nantong University, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I199305430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068824731","display_name":"Xiangjian Xu","orcid":"https://orcid.org/0000-0001-7850-6691"},"institutions":[{"id":"https://openalex.org/I199305430","display_name":"Nantong University","ror":"https://ror.org/02afcvw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I199305430"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiangjian Xu","raw_affiliation_strings":["School of Science, Nantong University, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Nantong University, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I199305430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062468683","display_name":"Zhe Cheng","orcid":"https://orcid.org/0000-0002-7332-604X"},"institutions":[{"id":"https://openalex.org/I199305430","display_name":"Nantong University","ror":"https://ror.org/02afcvw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I199305430"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Cheng","raw_affiliation_strings":["School of Science, Nantong University, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Nantong University, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I199305430"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016463687","display_name":"Weihua Zhao","orcid":"https://orcid.org/0000-0003-1681-7368"},"institutions":[{"id":"https://openalex.org/I199305430","display_name":"Nantong University","ror":"https://ror.org/02afcvw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I199305430"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihua Zhao","raw_affiliation_strings":["School of Science, Nantong University, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Nantong University, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I199305430"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068824731"],"corresponding_institution_ids":["https://openalex.org/I199305430"],"apc_list":null,"apc_paid":null,"fwci":0.1337,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.37146371,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"100","issue":"2","first_page":"342","last_page":"360"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9995999932289124,"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":0.9995999932289124,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9401999711990356,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9259999990463257,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.8042876720428467},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6196070313453674},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.6071487665176392},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.574414849281311},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.42502737045288086},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4230562150478363},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3591299057006836},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3567994236946106},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3529214859008789},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32684189081192017},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2659880816936493},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2656756043434143},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.25551778078079224},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2522926330566406},{"id":"https://openalex.org/keywords/orthodontics","display_name":"Orthodontics","score":0.2043238878250122},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.16315382719039917},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1482240855693817}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8042876720428467},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6196070313453674},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.6071487665176392},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.574414849281311},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.42502737045288086},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4230562150478363},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3591299057006836},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3567994236946106},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3529214859008789},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32684189081192017},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2659880816936493},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2656756043434143},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25551778078079224},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2522926330566406},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.2043238878250122},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16315382719039917},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1482240855693817},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2022.2118525","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2022.2118525","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3498005694","display_name":null,"funder_award_id":"11971294","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7665360007","display_name":null,"funder_award_id":"135420602001","funder_id":"https://openalex.org/F4320323090","funder_display_name":"Nantong University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323090","display_name":"Nantong University","ror":"https://ror.org/02afcvw97"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1476376401","https://openalex.org/W1963826206","https://openalex.org/W1972547249","https://openalex.org/W1986326495","https://openalex.org/W1992119053","https://openalex.org/W1992426838","https://openalex.org/W2000015923","https://openalex.org/W2006808740","https://openalex.org/W2024165284","https://openalex.org/W2030927653","https://openalex.org/W2038891887","https://openalex.org/W2043571470","https://openalex.org/W2079705627","https://openalex.org/W2080843093","https://openalex.org/W2102892751","https://openalex.org/W2103972604","https://openalex.org/W2117756735","https://openalex.org/W2407099455","https://openalex.org/W2412278696","https://openalex.org/W2599800682","https://openalex.org/W2604964345","https://openalex.org/W2611328865","https://openalex.org/W2735885719","https://openalex.org/W2762772695","https://openalex.org/W2785924090","https://openalex.org/W2902299656","https://openalex.org/W2963328634","https://openalex.org/W2970760100","https://openalex.org/W3008842210","https://openalex.org/W3098683815","https://openalex.org/W3105052070","https://openalex.org/W3166222868","https://openalex.org/W4240580737"],"related_works":["https://openalex.org/W3133949173","https://openalex.org/W2033296278","https://openalex.org/W183668700","https://openalex.org/W2040932470","https://openalex.org/W2122317237","https://openalex.org/W4301348752","https://openalex.org/W2032956530","https://openalex.org/W3202440455","https://openalex.org/W4213309379","https://openalex.org/W2163884930"],"abstract_inverted_index":{"Inspired":[0],"by":[1,123],"the":[2,50,56,65,73,82,85,93,103,112,124],"definition":[3],"of":[4,16,59,64,78,118],"tensor-tensor":[5],"product":[6],"and":[7,30,107,116,126],"tensor":[8,17,25,31,44,94],"tubal":[9,57],"rank,":[10],"a":[11],"randomized":[12,32],"singular":[13,26,33],"value":[14,27,34],"decomposition":[15,28,35],"is":[18,69,89,105],"presented":[19],"in":[20,76],"this":[21],"paper.":[22],"Based":[23],"on":[24],"(t-SVD)":[29],"(t-RSVD),":[36],"we":[37],"obtain":[38],"two":[39],"efficient":[40],"algorithms":[41],"to":[42,54,70,91],"solve":[43,92],"completion":[45,95],"problem.":[46,96],"We":[47],"also":[48],"propose":[49],"adaptive":[51],"rank":[52,58],"method":[53],"adjust":[55],"tensor.":[60],"The":[61,114],"main":[62],"advantage":[63],"random":[66],"projection-based":[67],"t-RSVD":[68,104],"cut":[71],"down":[72],"computing":[74],"time":[75,110],"consideration":[77],"large-scale":[79],"problems.":[80],"In":[81],"optimization":[83],"process,":[84],"alternating":[86],"minimization":[87],"algorithm":[88],"employed":[90],"Finally,":[97],"numerical":[98],"experiment":[99],"results":[100],"indicate":[101],"that":[102],"competitive":[106],"consumes":[108],"less":[109],"than":[111],"t-SVD.":[113],"efficiency":[115],"feasibility":[117],"our":[119],"methods":[120],"are":[121],"illustrated":[122],"image":[125],"video":[127],"recovery.":[128]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
