{"id":"https://openalex.org/W3199991419","doi":"https://doi.org/10.1109/tcyb.2021.3108847","title":"Multiscale Feature Tensor Train Rank Minimization for Multidimensional Image Recovery","display_name":"Multiscale Feature Tensor Train Rank Minimization for Multidimensional Image Recovery","publication_year":2021,"publication_date":"2021-09-20","ids":{"openalex":"https://openalex.org/W3199991419","doi":"https://doi.org/10.1109/tcyb.2021.3108847","mag":"3199991419"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3108847","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3108847","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5038073174","display_name":"Hao Zhang","orcid":"https://orcid.org/0000-0002-4786-555X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hao Zhang","raw_affiliation_strings":["School of Mathematical Sciences/Research Center for Image and Vision Computing, University of Electronic Science and Technology of China, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences/Research Center for Image and Vision Computing, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011715660","display_name":"Xi-Le Zhao","orcid":"https://orcid.org/0000-0002-6540-946X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xi-Le Zhao","raw_affiliation_strings":["School of Mathematical Sciences/Research Center for Image and Vision Computing, University of Electronic Science and Technology of China, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences/Research Center for Image and Vision Computing, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036399063","display_name":"Tai-Xiang Jiang","orcid":"https://orcid.org/0000-0002-9099-4154"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tai-Xiang Jiang","raw_affiliation_strings":["FinTech Innovation Center, Financial Intelligence and Financial Engineering Research Key Laboratory of Sichuan Province, School of Economic Information Engineering, Southwestern University of Finance and Economics, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"FinTech Innovation Center, Financial Intelligence and Financial Engineering Research Key Laboratory of Sichuan Province, School of Economic Information Engineering, Southwestern University of Finance and Economics, Chengdu, China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010561682","display_name":"Michael K. Ng","orcid":"https://orcid.org/0000-0001-6833-5227"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Michael K. Ng","raw_affiliation_strings":["Department of Mathematics, University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065782725","display_name":"Ting\u2010Zhu Huang","orcid":"https://orcid.org/0000-0001-7766-230X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ting-Zhu Huang","raw_affiliation_strings":["School of Mathematical Sciences/Research Center for Image and Vision Computing, University of Electronic Science and Technology of China, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences/Research Center for Image and Vision Computing, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5038073174"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":4.4165,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.96217494,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"52","issue":"12","first_page":"13395","last_page":"13410"},"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":0.9990000128746033,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/tensor","display_name":"Tensor (intrinsic definition)","score":0.682949423789978},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.623136579990387},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6150375008583069},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5708940029144287},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5611046552658081},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5571785569190979},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5156773328781128},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49052494764328003},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.458915114402771},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45016345381736755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4476369023323059},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.412273645401001},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3566263020038605},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19944137334823608}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.682949423789978},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.623136579990387},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6150375008583069},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5708940029144287},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5611046552658081},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5571785569190979},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5156773328781128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49052494764328003},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.458915114402771},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45016345381736755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4476369023323059},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.412273645401001},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3566263020038605},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19944137334823608},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcyb.2021.3108847","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3108847","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1090016836","display_name":null,"funder_award_id":"JBK2102001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G1628077028","display_name":null,"funder_award_id":"2020YFA0714001","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G1810718286","display_name":null,"funder_award_id":"12001446","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2360953609","display_name":null,"funder_award_id":"21YYJC3042","funder_id":"https://openalex.org/F4320333337","funder_display_name":"Applied Basic Research Program of Sichuan Province"},{"id":"https://openalex.org/G2751002267","display_name":null,"funder_award_id":"61772003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4984401012","display_name":null,"funder_award_id":"2020YJ0216","funder_id":"https://openalex.org/F4320333337","funder_display_name":"Applied Basic Research Program of Sichuan Province"},{"id":"https://openalex.org/G8330053271","display_name":null,"funder_award_id":"61876203","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/F4320333337","display_name":"Applied Basic Research Program of Sichuan Province","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":72,"referenced_works":["https://openalex.org/W1521672915","https://openalex.org/W1967138577","https://openalex.org/W1985242206","https://openalex.org/W1993482030","https://openalex.org/W1999788007","https://openalex.org/W2008821896","https://openalex.org/W2027982384","https://openalex.org/W2030927653","https://openalex.org/W2038891887","https://openalex.org/W2039596145","https://openalex.org/W2043571470","https://openalex.org/W2045849979","https://openalex.org/W2064076387","https://openalex.org/W2079705627","https://openalex.org/W2091449379","https://openalex.org/W2129732816","https://openalex.org/W2144348684","https://openalex.org/W2313932751","https://openalex.org/W2333549353","https://openalex.org/W2412278696","https://openalex.org/W2463528834","https://openalex.org/W2575032143","https://openalex.org/W2743464589","https://openalex.org/W2762772695","https://openalex.org/W2785924090","https://openalex.org/W2789879563","https://openalex.org/W2802440232","https://openalex.org/W2852445398","https://openalex.org/W2921641682","https://openalex.org/W2923380536","https://openalex.org/W2941769495","https://openalex.org/W2944375193","https://openalex.org/W2946509591","https://openalex.org/W2962708900","https://openalex.org/W2962915592","https://openalex.org/W2963293339","https://openalex.org/W2963328634","https://openalex.org/W2963396432","https://openalex.org/W2963885538","https://openalex.org/W2964229782","https://openalex.org/W2970760100","https://openalex.org/W2972301798","https://openalex.org/W2972366341","https://openalex.org/W2977894483","https://openalex.org/W2979001238","https://openalex.org/W2982317909","https://openalex.org/W2989773826","https://openalex.org/W2990162903","https://openalex.org/W2997965215","https://openalex.org/W2998656915","https://openalex.org/W3017506038","https://openalex.org/W3020111007","https://openalex.org/W3026446890","https://openalex.org/W3027629341","https://openalex.org/W3035318978","https://openalex.org/W3042671644","https://openalex.org/W3098683815","https://openalex.org/W3105052070","https://openalex.org/W3108077252","https://openalex.org/W3115008168","https://openalex.org/W3120342934","https://openalex.org/W3133841201","https://openalex.org/W3166943687","https://openalex.org/W3198251760","https://openalex.org/W3198865231","https://openalex.org/W4292363360","https://openalex.org/W6631323259","https://openalex.org/W6652592832","https://openalex.org/W6756047693","https://openalex.org/W6787187028","https://openalex.org/W6788768705","https://openalex.org/W6790810534"],"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],"general":[1],"tensor-based":[2],"methods":[3],"can":[4,202],"recover":[5,82,129],"missing":[6,84],"values":[7,85],"of":[8,24,50,74,105,148,173,181],"multidimensional":[9,75,183],"images":[10,184],"by":[11,70,111],"exploiting":[12,71,102],"the":[13,16,29,35,48,72,83,92,103,106,112,117,130,134,144,153,157,164,170,176,187,198,204],"low-rankness":[14,30,104],"on":[15,34,86],"pixel":[17,36],"level.":[18],"However,":[19],"especially":[20],"when":[21],"considerable":[22],"pixels":[23],"an":[25],"image":[26,52,55,99,195,206],"are":[27],"missing,":[28],"is":[31],"not":[32,78],"reliable":[33],"level,":[37,89],"resulting":[38,107],"in":[39,43,138,194],"some":[40],"details":[41],"losing":[42],"their":[44],"results,":[45],"which":[46,77],"hinders":[47],"performance":[49],"subsequent":[51,98,205],"applications":[53],"(e.g.,":[54],"recognition":[56],"and":[57,119,133,156,197],"segmentation).":[58],"In":[59],"this":[60],"article,":[61],"we":[62,115,168],"suggest":[63],"a":[64,87,139],"novel":[65],"multiscale":[66],"feature":[67,93],"(MSF)":[68],"tensorization":[69],"MSFs":[73],"images,":[76],"only":[79],"helps":[80],"to":[81,127,151,162],"higher":[88],"that":[90,186],"is,":[91],"level":[94],"but":[95],"also":[96],"benefits":[97],"applications.":[100],"By":[101],"MSF":[108,121,131,200],"tensor":[109,122,132,137,201],"constructed":[110],"new":[113],"tensorization,":[114],"propose":[116],"convex":[118,154],"nonconvex":[120,165],"train":[123],"rank":[124],"minimization":[125,160],"(MSF-TT)":[126],"conjointly":[128],"corresponding":[135],"original":[136],"unified":[140],"framework.":[141],"We":[142],"develop":[143],"alternating":[145,159],"directional":[146],"method":[147],"multipliers":[149],"(ADMMs)":[150],"solve":[152,163],"MSF-TT":[155,189],"proximal":[158],"(PAM)":[161],"MSF-TT.":[166],"Moreover,":[167],"establish":[169],"theoretical":[171],"guarantee":[172],"convergence":[174],"for":[175],"PAM":[177],"algorithm.":[178],"Numerical":[179],"examples":[180],"real-world":[182],"show":[185],"proposed":[188],"outperforms":[190],"other":[191],"compared":[192],"approaches":[193],"recovery":[196],"recovered":[199],"benefit":[203],"recognition.":[207]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":4}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2021-09-27T00:00:00"}
