{"id":"https://openalex.org/W4412821365","doi":"https://doi.org/10.1049/ipr2.70171","title":"Tensor Truncated Schatten\u2010 <i>p</i> Norm Approximation Tensor Completion Algorithm","display_name":"Tensor Truncated Schatten\u2010 <i>p</i> Norm Approximation Tensor Completion Algorithm","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4412821365","doi":"https://doi.org/10.1049/ipr2.70171"},"language":"en","primary_location":{"id":"doi:10.1049/ipr2.70171","is_oa":true,"landing_page_url":"https://doi.org/10.1049/ipr2.70171","pdf_url":null,"source":{"id":"https://openalex.org/S83215360","display_name":"IET Image Processing","issn_l":"1751-9659","issn":["1751-9659","1751-9667"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311714","host_organization_name":"Institution of Engineering and Technology","host_organization_lineage":["https://openalex.org/P4310311714"],"host_organization_lineage_names":["Institution of Engineering and Technology"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IET Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1049/ipr2.70171","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100425100","display_name":"Jian-wei Liu","orcid":"https://orcid.org/0000-0002-7841-1200"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianwei Liu","raw_affiliation_strings":["School of Mathematics Tianjin University Tianjin China"],"raw_orcid":"https://orcid.org/0000-0002-7841-1200","affiliations":[{"raw_affiliation_string":"School of Mathematics Tianjin University Tianjin China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049664274","display_name":"Liangfu Lu","orcid":"https://orcid.org/0000-0001-8731-9775"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]},{"id":"https://openalex.org/I5740404","display_name":"Tianjin Medical University","ror":"https://ror.org/02mh8wx89","country_code":"CN","type":"education","lineage":["https://openalex.org/I5740404"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liangfu Lu","raw_affiliation_strings":["Academy of Medical Engineering and Translational Medicine Tianjin University Tianjin China"],"raw_orcid":"https://orcid.org/0000-0001-8731-9775","affiliations":[{"raw_affiliation_string":"Academy of Medical Engineering and Translational Medicine Tianjin University Tianjin China","institution_ids":["https://openalex.org/I5740404","https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ping Wang","orcid":"https://orcid.org/0000-0003-3808-0387"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Wang","raw_affiliation_strings":["School of Mathematics Tianjin University Tianjin China"],"raw_orcid":"https://orcid.org/0000-0003-3808-0387","affiliations":[{"raw_affiliation_string":"School of Mathematics Tianjin University Tianjin China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100606623","display_name":"Haipeng Liu","orcid":"https://orcid.org/0000-0002-4212-2503"},"institutions":[{"id":"https://openalex.org/I4210153682","display_name":"Intelligent Health (United Kingdom)","ror":"https://ror.org/0576zak10","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210153682"]},{"id":"https://openalex.org/I73417466","display_name":"Coventry University","ror":"https://ror.org/01tgmhj36","country_code":"GB","type":"education","lineage":["https://openalex.org/I73417466"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Haipeng Liu","raw_affiliation_strings":["Centre for Intelligent Healthcare Coventry University Coventry UK"],"raw_orcid":"https://orcid.org/0000-0002-4212-2503","affiliations":[{"raw_affiliation_string":"Centre for Intelligent Healthcare Coventry University Coventry UK","institution_ids":["https://openalex.org/I4210153682","https://openalex.org/I73417466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111782979","display_name":"Yuanchen Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanchen Huang","raw_affiliation_strings":["School of Mathematics Tianjin University Tianjin China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics Tianjin University Tianjin China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042965930","display_name":"Yunliang Zang","orcid":"https://orcid.org/0000-0001-8999-1936"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]},{"id":"https://openalex.org/I4210088823","display_name":"Xiamen Municipal Bureau of Science and Technology","ror":"https://ror.org/006mtxa58","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210088823"]},{"id":"https://openalex.org/I5740404","display_name":"Tianjin Medical University","ror":"https://ror.org/02mh8wx89","country_code":"CN","type":"education","lineage":["https://openalex.org/I5740404"]},{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunliang Zang","raw_affiliation_strings":["Academy of Medical Engineering and Translational Medicine Tianjin University Tianjin China","Xiamen Intretech Inc Xiamen Fujian China"],"raw_orcid":"https://orcid.org/0000-0001-8999-1936","affiliations":[{"raw_affiliation_string":"Academy of Medical Engineering and Translational Medicine Tianjin University Tianjin China","institution_ids":["https://openalex.org/I5740404","https://openalex.org/I162868743"]},{"raw_affiliation_string":"Xiamen Intretech Inc Xiamen Fujian China","institution_ids":["https://openalex.org/I75867142","https://openalex.org/I4210088823"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2000,"currency":"EUR","value_usd":2200},"apc_paid":{"value":2000,"currency":"EUR","value_usd":2200},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17294686,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"1","first_page":null,"last_page":null},"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":0.998199999332428,"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":0.9908000230789185,"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":0.6460082530975342},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5148105025291443},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.513251781463623},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42817223072052},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3853268027305603},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2688145041465759}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6460082530975342},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5148105025291443},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.513251781463623},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42817223072052},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3853268027305603},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2688145041465759},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1049/ipr2.70171","is_oa":true,"landing_page_url":"https://doi.org/10.1049/ipr2.70171","pdf_url":null,"source":{"id":"https://openalex.org/S83215360","display_name":"IET Image Processing","issn_l":"1751-9659","issn":["1751-9659","1751-9667"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311714","host_organization_name":"Institution of Engineering and Technology","host_organization_lineage":["https://openalex.org/P4310311714"],"host_organization_lineage_names":["Institution of Engineering and Technology"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IET Image Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1049/ipr2.70171","is_oa":true,"landing_page_url":"https://doi.org/10.1049/ipr2.70171","pdf_url":null,"source":{"id":"https://openalex.org/S83215360","display_name":"IET Image Processing","issn_l":"1751-9659","issn":["1751-9659","1751-9667"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310311714","host_organization_name":"Institution of Engineering and Technology","host_organization_lineage":["https://openalex.org/P4310311714"],"host_organization_lineage_names":["Institution of Engineering and Technology"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IET Image Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4420291536","display_name":null,"funder_award_id":"2023YFF1204200","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6643648541","display_name":null,"funder_award_id":"62476197","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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W301566927","https://openalex.org/W1476376401","https://openalex.org/W2030927653","https://openalex.org/W2048695508","https://openalex.org/W2091449379","https://openalex.org/W2136668498","https://openalex.org/W2145962650","https://openalex.org/W2406354600","https://openalex.org/W2737074321","https://openalex.org/W2904393137","https://openalex.org/W2931860578","https://openalex.org/W2962708900","https://openalex.org/W2962759270","https://openalex.org/W2963328634","https://openalex.org/W2963472624","https://openalex.org/W2963885538","https://openalex.org/W2964214749","https://openalex.org/W2980008494","https://openalex.org/W2996534391","https://openalex.org/W3010738154","https://openalex.org/W3093913016","https://openalex.org/W3157826182","https://openalex.org/W3167575741","https://openalex.org/W3168052222","https://openalex.org/W3175465180","https://openalex.org/W3193280983","https://openalex.org/W3199706488","https://openalex.org/W3205098874","https://openalex.org/W4283079434","https://openalex.org/W4284691979","https://openalex.org/W4284976440","https://openalex.org/W4285133964","https://openalex.org/W4285264860","https://openalex.org/W4292060064","https://openalex.org/W4292363360","https://openalex.org/W4317796275","https://openalex.org/W4321494050","https://openalex.org/W4376106377","https://openalex.org/W4379527419","https://openalex.org/W4381891028","https://openalex.org/W4385553849","https://openalex.org/W4389664971","https://openalex.org/W4393238275","https://openalex.org/W4395096517","https://openalex.org/W4401668838","https://openalex.org/W4405974238"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298"],"abstract_inverted_index":{"ABSTRACT":[0],"Image":[1],"data":[2],"is":[3],"often":[4,38],"degraded":[5],"during":[6],"transmission":[7],"due":[8],"to":[9,40],"hardware":[10],"limitations":[11],"or":[12],"human":[13],"error,":[14],"which":[15],"may":[16],"hinder":[17],"subsequent":[18],"image":[19,25],"analysis":[20,93,115],"tasks.":[21],"Therefore,":[22],"research":[23],"on":[24,80,98,130],"restoration":[26],"has":[27],"significant":[28],"practical":[29],"value.":[30],"Traditional":[31],"matrix\u2010based":[32],"algorithms":[33],"struggle":[34],"with":[35],"high\u2010dimensional":[36],"data,":[37,132],"failing":[39],"preserve":[41],"spatial":[42],"structures":[43],"and":[44,87,120,139,145],"risking":[45],"overfitting.":[46],"In":[47],"this":[48,81],"paper,":[49],"we":[50,111],"investigate":[51],"tensor":[52,57,69,71,84,89],"recovery":[53,77],"problems":[54],"under":[55],"the":[56,68,99,117,143,148],"singular":[58],"value":[59],"decomposition":[60],"framework.":[61],"We":[62],"introduce":[63],"a":[64,83,88,113],"non\u2010convex":[65],"surrogate":[66],"for":[67,107],"rank\u2014the":[70],"truncated":[72],"Schatten\u2010":[73],"norm\u2014and":[74],"propose":[75],"two":[76],"models":[78],"based":[79,97],"theory:":[82],"completion":[85],"model":[86],"robust":[90],"principal":[91],"component":[92],"model.":[94],"Efficient":[95],"solutions":[96],"alternating":[100],"direction":[101],"method":[102],"of":[103,116,123,147],"multipliers":[104],"are":[105],"developed":[106],"both":[108],"models.":[109],"Moreover,":[110],"provide":[112],"thorough":[114],"computational":[118],"complexity":[119],"convergence":[121],"behavior":[122],"our":[124],"algorithms.":[125],"At":[126],"last,":[127],"extensive":[128],"experiments":[129],"synthetic":[131],"color":[133],"images,":[134,138],"video":[135],"sequences,":[136],"multispectral":[137],"medical":[140],"images":[141],"demonstrate":[142],"effectiveness":[144],"robustness":[146],"proposed":[149],"methods.":[150]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}