{"id":"https://openalex.org/W3123648408","doi":"https://doi.org/10.1109/tnnls.2021.3051650","title":"Generalized Nonconvex Approach for Low-Tubal-Rank Tensor Recovery","display_name":"Generalized Nonconvex Approach for Low-Tubal-Rank Tensor Recovery","publication_year":2021,"publication_date":"2021-01-29","ids":{"openalex":"https://openalex.org/W3123648408","doi":"https://doi.org/10.1109/tnnls.2021.3051650","mag":"3123648408","pmid":"https://pubmed.ncbi.nlm.nih.gov/33513116"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2021.3051650","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3051650","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100330277","display_name":"Hailin Wang","orcid":"https://orcid.org/0000-0002-7797-2719"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hailin Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-7797-2719","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032355068","display_name":"Feng Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0003-1000-8877","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100410426","display_name":"Jianjun Wang","orcid":"https://orcid.org/0000-0002-5344-4460"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianjun Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing, China","Research Institute of Intelligent Finance and Digital Economics, Southwest University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-5344-4460","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]},{"raw_affiliation_string":"Research Institute of Intelligent Finance and Digital Economics, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074290686","display_name":"Tingwen Huang","orcid":"https://orcid.org/0000-0001-9610-846X"},"institutions":[{"id":"https://openalex.org/I58152225","display_name":"Texas A&M University at Qatar","ror":"https://ror.org/03vb4dm14","country_code":"QA","type":"education","lineage":["https://openalex.org/I58152225","https://openalex.org/I91045830"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Tingwen Huang","raw_affiliation_strings":["Department of Mathematics, Texas A&M University at Qatar, Doha, Qatar"],"raw_orcid":"https://orcid.org/0000-0001-9610-846X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University at Qatar, Doha, Qatar","institution_ids":["https://openalex.org/I58152225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052836808","display_name":"Jianwen Huang","orcid":"https://orcid.org/0000-0003-3792-1383"},"institutions":[{"id":"https://openalex.org/I4210163834","display_name":"Tianshui Normal University","ror":"https://ror.org/05kc6dc21","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163834"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianwen Huang","raw_affiliation_strings":["School of Mathematics and Statistics, Tianshui Normal University, Tianshui, China"],"raw_orcid":"https://orcid.org/0000-0003-3792-1383","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Tianshui Normal University, Tianshui, China","institution_ids":["https://openalex.org/I4210163834"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103261875","display_name":"Xinling Liu","orcid":"https://orcid.org/0000-0003-0007-0781"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinling Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100330277"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":null,"apc_paid":null,"fwci":9.0798,"has_fulltext":false,"cited_by_count":95,"citation_normalized_percentile":{"value":0.98583235,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"33","issue":"8","first_page":"3305","last_page":"3319"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9973999857902527,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6163198947906494},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5733026266098022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5421098470687866},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4740431308746338},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4707012176513672},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.44175368547439575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3889726996421814},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2051520049571991},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19521671533584595}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6163198947906494},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5733026266098022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5421098470687866},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4740431308746338},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4707012176513672},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.44175368547439575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3889726996421814},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2051520049571991},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19521671533584595}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2021.3051650","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3051650","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:33513116","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33513116","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3888089072","display_name":null,"funder_award_id":"12071380","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7176449611","display_name":null,"funder_award_id":"61673015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G837640206","display_name":null,"funder_award_id":"11901476","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":77,"referenced_works":["https://openalex.org/W792141054","https://openalex.org/W1814521481","https://openalex.org/W1860736741","https://openalex.org/W1963826206","https://openalex.org/W1965125844","https://openalex.org/W1980500788","https://openalex.org/W1986326495","https://openalex.org/W1992426838","https://openalex.org/W1993482030","https://openalex.org/W2001916104","https://openalex.org/W2009006054","https://openalex.org/W2020390700","https://openalex.org/W2020503492","https://openalex.org/W2022541060","https://openalex.org/W2027982384","https://openalex.org/W2030927653","https://openalex.org/W2043571470","https://openalex.org/W2048050794","https://openalex.org/W2049973790","https://openalex.org/W2074682976","https://openalex.org/W2075547019","https://openalex.org/W2076605490","https://openalex.org/W2078853581","https://openalex.org/W2079705627","https://openalex.org/W2079775628","https://openalex.org/W2080744942","https://openalex.org/W2081297271","https://openalex.org/W2091449379","https://openalex.org/W2100556411","https://openalex.org/W2103215959","https://openalex.org/W2119883478","https://openalex.org/W2121927366","https://openalex.org/W2145563843","https://openalex.org/W2166163936","https://openalex.org/W2167577940","https://openalex.org/W2168790157","https://openalex.org/W2199944189","https://openalex.org/W2527153419","https://openalex.org/W2549127690","https://openalex.org/W2565835729","https://openalex.org/W2884159946","https://openalex.org/W2896928944","https://openalex.org/W2901836533","https://openalex.org/W2902299656","https://openalex.org/W2904393137","https://openalex.org/W2931860578","https://openalex.org/W2948715513","https://openalex.org/W2950933264","https://openalex.org/W2951948474","https://openalex.org/W2960871125","https://openalex.org/W2963107235","https://openalex.org/W2963109107","https://openalex.org/W2963218026","https://openalex.org/W2963328634","https://openalex.org/W2963557772","https://openalex.org/W2963648037","https://openalex.org/W2963885538","https://openalex.org/W2963980562","https://openalex.org/W2964205657","https://openalex.org/W2964214749","https://openalex.org/W2997965215","https://openalex.org/W3003813531","https://openalex.org/W3016149304","https://openalex.org/W3016388692","https://openalex.org/W3046125190","https://openalex.org/W3098306969","https://openalex.org/W3101644375","https://openalex.org/W3102415113","https://openalex.org/W4213023287","https://openalex.org/W4240385847","https://openalex.org/W4240580737","https://openalex.org/W6675325395","https://openalex.org/W6675666277","https://openalex.org/W6682433143","https://openalex.org/W6687945417","https://openalex.org/W6717575008","https://openalex.org/W6761703539"],"related_works":["https://openalex.org/W2950186459","https://openalex.org/W2170114491","https://openalex.org/W2897298721","https://openalex.org/W2242624680","https://openalex.org/W2136127937","https://openalex.org/W4290987221","https://openalex.org/W2216309014","https://openalex.org/W2569661359","https://openalex.org/W3199841771","https://openalex.org/W4286971555"],"abstract_inverted_index":{"The":[0],"tensor-tensor":[1],"product-induced":[2],"tensor":[3,14,55,86,117],"nuclear":[4],"norm":[5],"(t-TNN)":[6],"(Lu":[7],"et":[8],"al.,":[9],"2020)":[10],"minimization":[11,84],"for":[12,85,109],"low-tubal-rank":[13],"recovery":[15,113,129],"attracts":[16],"broad":[17],"attention":[18],"recently.":[19],"However,":[20],"minimizing":[21],"the":[22,29,36,54,78,100,106,116],"t-TNN":[23,72],"faces":[24],"some":[25],"drawbacks.":[26],"For":[27],"example,":[28],"obtained":[30],"solution":[31],"could":[32],"be":[33],"suboptimal":[34],"to":[35,40,76,90],"original":[37],"problem":[38],"due":[39],"its":[41],"loose":[42],"approximation.":[43],"In":[44],"this":[45],"article,":[46],"we":[47,104],"extract":[48],"a":[49,59,91],"unified":[50],"nonconvex":[51,66,81,137],"surrogate":[52],"of":[53],"tubal":[56,82],"rank":[57,83],"as":[58],"tighter":[60],"regularizer,":[61],"which":[62],"involves":[63],"many":[64],"popular":[65],"penalty":[67],"functions.":[68],"An":[69],"iterative":[70],"reweighted":[71],"algorithm":[73],"is":[74],"proposed":[75],"solve":[77],"resulting":[79],"generalized":[80],"recovery.":[87],"It":[88],"converges":[89],"critical":[92],"point":[93],"globally":[94],"with":[95,132],"rigorous":[96],"proofs":[97],"based":[98],"on":[99],"Kurdyka-\u0141ojasiwicz":[101],"property.":[102,120],"Furthermore,":[103],"provide":[105],"theoretical":[107],"guarantees":[108],"exact":[110],"and":[111,136],"robust":[112],"by":[114],"developing":[115],"null":[118],"space":[119],"Extensive":[121],"experiments":[122],"demonstrate":[123],"that":[124],"our":[125],"approach":[126],"markedly":[127],"enhances":[128],"performance":[130],"compared":[131],"several":[133],"state-of-the-art":[134],"convex":[135],"methods.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":34},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}