{"id":"https://openalex.org/W4281401255","doi":"https://doi.org/10.1137/21m1429539","title":"Robust Tensor Completion: Equivalent Surrogates, Error Bounds, and Algorithms","display_name":"Robust Tensor Completion: Equivalent Surrogates, Error Bounds, and Algorithms","publication_year":2022,"publication_date":"2022-05-24","ids":{"openalex":"https://openalex.org/W4281401255","doi":"https://doi.org/10.1137/21m1429539"},"language":"en","primary_location":{"id":"doi:10.1137/21m1429539","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1429539","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/95657/1/Zhao_Robust_Tensor_Completion.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030349737","display_name":"Xueying Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN","HK"],"is_corresponding":true,"raw_author_name":"Xueying Zhao","raw_affiliation_strings":["\\ddagger Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Hong Kong","\\dagger School of Mathematics, Hunan University, Changsha, Hunan 410082, China"],"affiliations":[{"raw_affiliation_string":"\\ddagger Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Hong Kong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"\\dagger School of Mathematics, Hunan University, Changsha, Hunan 410082, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060810910","display_name":"Minru Bai","orcid":"https://orcid.org/0000-0002-9960-6138"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Minru Bai","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029911976","display_name":"Defeng Sun","orcid":"https://orcid.org/0000-0003-0481-272X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Defeng Sun","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5086626577","display_name":"Libin Zheng","orcid":"https://orcid.org/0000-0002-9339-1949"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Libin Zheng","raw_affiliation_strings":["\\ddagger Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Hong Kong","\\dagger School of Mathematics, Hunan University, Changsha, Hunan 410082, China"],"affiliations":[{"raw_affiliation_string":"\\ddagger Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Hong Kong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"\\dagger School of Mathematics, Hunan University, Changsha, Hunan 410082, China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5030349737"],"corresponding_institution_ids":["https://openalex.org/I14243506","https://openalex.org/I16609230"],"apc_list":null,"apc_paid":null,"fwci":4.1355,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.95210184,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"15","issue":"2","first_page":"625","last_page":"669"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9955000281333923,"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"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.994700014591217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6116418242454529},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6020901203155518},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5567507147789001},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.495943158864975},{"id":"https://openalex.org/keywords/restricted-isometry-property","display_name":"Restricted isometry property","score":0.49516168236732483},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49463698267936707},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4785328805446625},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.47674664855003357},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.457088440656662},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4193595051765442},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41735172271728516},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39329034090042114},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.379719078540802},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.33671092987060547},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13937464356422424},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09570237994194031},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09333804249763489}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6116418242454529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6020901203155518},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5567507147789001},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.495943158864975},{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.49516168236732483},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49463698267936707},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4785328805446625},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.47674664855003357},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.457088440656662},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4193595051765442},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41735172271728516},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39329034090042114},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.379719078540802},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.33671092987060547},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13937464356422424},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09570237994194031},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09333804249763489},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1429539","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1429539","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/95657","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/95657","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/95657/1/Zhao_Robust_Tensor_Completion.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal/Magazine Article"}],"best_oa_location":{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/95657","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/95657","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/95657/1/Zhao_Robust_Tensor_Completion.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal/Magazine Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6177470129","display_name":null,"funder_award_id":"1530401","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6221780053","display_name":null,"funder_award_id":"11971","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7309200328","display_name":null,"funder_award_id":"11971159","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/W4281401255.pdf","grobid_xml":"https://content.openalex.org/works/W4281401255.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W1963826206","https://openalex.org/W1965125844","https://openalex.org/W1967138577","https://openalex.org/W1982725637","https://openalex.org/W1992426838","https://openalex.org/W2000215628","https://openalex.org/W2027982384","https://openalex.org/W2028781966","https://openalex.org/W2029213856","https://openalex.org/W2039284087","https://openalex.org/W2043571470","https://openalex.org/W2074682976","https://openalex.org/W2079705627","https://openalex.org/W2080843093","https://openalex.org/W2091449379","https://openalex.org/W2093499918","https://openalex.org/W2095534914","https://openalex.org/W2119412403","https://openalex.org/W2129554161","https://openalex.org/W2129732816","https://openalex.org/W2135046866","https://openalex.org/W2145962650","https://openalex.org/W2428204121","https://openalex.org/W2469230926","https://openalex.org/W2514832728","https://openalex.org/W2516602727","https://openalex.org/W2743133559","https://openalex.org/W2745841187","https://openalex.org/W2752077201","https://openalex.org/W2763531044","https://openalex.org/W2763810251","https://openalex.org/W2811282166","https://openalex.org/W2896928944","https://openalex.org/W2902299656","https://openalex.org/W2954249638","https://openalex.org/W2962771824","https://openalex.org/W2962853966","https://openalex.org/W2963167563","https://openalex.org/W2963328634","https://openalex.org/W2963831709","https://openalex.org/W2963885538","https://openalex.org/W2964011556","https://openalex.org/W2964192982","https://openalex.org/W3096898654","https://openalex.org/W3098306969","https://openalex.org/W3098807808","https://openalex.org/W3099897794"],"related_works":["https://openalex.org/W1595179898","https://openalex.org/W2949399405","https://openalex.org/W4301619540","https://openalex.org/W4297570801","https://openalex.org/W2952050240","https://openalex.org/W2568623927","https://openalex.org/W2085436476","https://openalex.org/W2025666718","https://openalex.org/W1523595302","https://openalex.org/W1959156040"],"abstract_inverted_index":{"Robust":[0],"low-rank":[1,38],"tensor":[2,39,59,90],"completion":[3],"(RTC)":[4],"problems":[5,102],"have":[6,116],"received":[7],"considerable":[8],"attention":[9],"in":[10,15,74,204],"recent":[11],"years":[12],"such":[13],"as":[14],"signal":[16],"processing":[17],"and":[18,65,94,107,136,177,233],"computer":[19],"vision.":[20],"In":[21],"this":[22,53,79,137,165],"paper,":[23],"we":[24,81,168,208],"focus":[25],"on":[26],"the":[27,58,66,133,160,179,199,205,211,215,225,237,241],"bound":[28,109,173],"constrained":[29],"RTC":[30,101],"problem":[31,54],"for":[32,62,68,100,159,164,174],"third-order":[33],"tensors":[34],"which":[35,156],"recovers":[36],"a":[37,83,87,95,117,124,142,153,170,190,221],"from":[40],"partial":[41],"observations":[42],"corrupted":[43],"by":[44,197,214],"impulse":[45],"noise.":[46],"A":[47],"widely":[48],"used":[49,158],"convex":[50,120,145],"relaxation":[51],"of":[52,119,140,144,224,240],"is":[55,129,157,194],"to":[56,131,151,220],"minimize":[57],"nuclear":[60],"norm":[61],"low":[63],"rank":[64,91],"$\\ell_1$-norm":[67],"sparsity.":[69],"However,":[70],"it":[71],"may":[72],"result":[73],"biased":[75],"solutions.":[76],"To":[77],"handle":[78],"issue,":[80],"propose":[82],"nonconvex":[84,89,97,114],"model":[85,135],"with":[86,147],"novel":[88,96],"surrogate":[92],"function":[93],"sparsity":[98],"measure":[99],"under":[103],"limited":[104],"sample":[105],"constraints":[106],"two":[108,113],"constraints,":[110],"where":[111],"these":[112],"terms":[115],"difference":[118],"functions":[121],"structure.":[122],"Then,":[123,196],"proximal":[125],"majorization-minimization":[126],"(PMM)":[127],"algorithm":[128,138,217],"developed":[130],"solve":[132],"proposed":[134,242],"consists":[139],"solving":[141],"series":[143],"subproblems":[146],"an":[148],"initial":[149,192],"estimator":[150,155,193],"generate":[152],"new":[154,166],"next":[161],"subproblem.":[162],"Theoretically,":[163],"estimator,":[167],"establish":[169],"recovery":[171],"error":[172,184],"its":[175],"recoverability":[176],"give":[178],"theoretical":[180],"guarantee":[181],"that":[182,210],"lower":[183],"bounds":[185],"can":[186],"be":[187],"obtained":[188],"when":[189],"reasonable":[191],"available.":[195],"using":[198],"Kurdyka--\u0141":[200],"ojasiewicz":[201],"property":[202],"exhibited":[203],"resulting":[206],"problem,":[207],"show":[209,236],"sequence":[212],"generated":[213],"PMM":[216],"globally":[218],"converges":[219],"critical":[222],"point":[223],"problem.":[226],"Extensive":[227],"numerical":[228],"experiments":[229],"including":[230],"color":[231],"images":[232,235],"multispectral":[234],"high":[238],"efficiency":[239],"model.":[243]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":4}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
