{"id":"https://openalex.org/W4280643530","doi":"https://doi.org/10.1142/s0219691322500163","title":"A universal rank approximation method for matrix completion","display_name":"A universal rank approximation method for matrix completion","publication_year":2022,"publication_date":"2022-05-12","ids":{"openalex":"https://openalex.org/W4280643530","doi":"https://doi.org/10.1142/s0219691322500163"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691322500163","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691322500163","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5077266611","display_name":"Jinyao Yan","orcid":"https://orcid.org/0000-0003-4153-313X"},"institutions":[{"id":"https://openalex.org/I169019527","display_name":"Quanzhou Normal University","ror":"https://ror.org/006ak0b38","country_code":"CN","type":"education","lineage":["https://openalex.org/I169019527"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinyao Yan","raw_affiliation_strings":["School of Electronics and Communication Engineering, Quanzhou University of Information Engineering, Quanzhou 362000, Fujian, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Communication Engineering, Quanzhou University of Information Engineering, Quanzhou 362000, Fujian, P. R. China","institution_ids":["https://openalex.org/I169019527"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102307386","display_name":"Xinhong Meng","orcid":null},"institutions":[{"id":"https://openalex.org/I169019527","display_name":"Quanzhou Normal University","ror":"https://ror.org/006ak0b38","country_code":"CN","type":"education","lineage":["https://openalex.org/I169019527"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinhong Meng","raw_affiliation_strings":["School of Electronics and Communication Engineering, Quanzhou University of Information Engineering, Quanzhou 362000, Fujian, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Communication Engineering, Quanzhou University of Information Engineering, Quanzhou 362000, Fujian, P. R. China","institution_ids":["https://openalex.org/I169019527"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045211553","display_name":"Feilong Cao","orcid":"https://orcid.org/0000-0002-1690-5694"},"institutions":[{"id":"https://openalex.org/I55538621","display_name":"China Jiliang University","ror":"https://ror.org/05v1y0t93","country_code":"CN","type":"education","lineage":["https://openalex.org/I55538621"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feilong Cao","raw_affiliation_strings":["College of Sciences, China Jiliang University, Hangzhou 310018, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Sciences, China Jiliang University, Hangzhou 310018, P. R. China","institution_ids":["https://openalex.org/I55538621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023547926","display_name":"Hailiang Ye","orcid":"https://orcid.org/0000-0001-8609-253X"},"institutions":[{"id":"https://openalex.org/I55538621","display_name":"China Jiliang University","ror":"https://ror.org/05v1y0t93","country_code":"CN","type":"education","lineage":["https://openalex.org/I55538621"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hailiang Ye","raw_affiliation_strings":["College of Sciences, China Jiliang University, Hangzhou 310018, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Sciences, China Jiliang University, Hangzhou 310018, P. R. China","institution_ids":["https://openalex.org/I55538621"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5023547926"],"corresponding_institution_ids":["https://openalex.org/I55538621"],"apc_list":null,"apc_paid":null,"fwci":0.9925,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.6900351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"20","issue":"05","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9955999851226807,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9950000047683716,"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/rank","display_name":"Rank (graph theory)","score":0.748590350151062},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6742938756942749},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6420693397521973},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.63355553150177},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5652663707733154},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.5431756377220154},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.521969199180603},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42809563875198364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38866156339645386},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.33779120445251465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21969547867774963},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09388309717178345}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.748590350151062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6742938756942749},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6420693397521973},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.63355553150177},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5652663707733154},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.5431756377220154},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.521969199180603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42809563875198364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38866156339645386},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.33779120445251465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21969547867774963},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09388309717178345},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691322500163","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691322500163","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G5260527231","display_name":null,"funder_award_id":"2021J01540","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"}],"funders":[{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1504424717","https://openalex.org/W1969698720","https://openalex.org/W1989830207","https://openalex.org/W2084983808","https://openalex.org/W2103972604","https://openalex.org/W2118550318","https://openalex.org/W2134332047","https://openalex.org/W2189846329","https://openalex.org/W2297266326","https://openalex.org/W2505029951","https://openalex.org/W2603841037","https://openalex.org/W2611328865","https://openalex.org/W2783178946","https://openalex.org/W2792270354","https://openalex.org/W2887804781","https://openalex.org/W2948016645","https://openalex.org/W2962759270","https://openalex.org/W2971098996","https://openalex.org/W3000082418","https://openalex.org/W3003918573","https://openalex.org/W3017080103","https://openalex.org/W3026750302","https://openalex.org/W3036076234","https://openalex.org/W3038662035","https://openalex.org/W3080832086","https://openalex.org/W3094857757","https://openalex.org/W3096281486","https://openalex.org/W3119239860","https://openalex.org/W3122238562","https://openalex.org/W3205823304","https://openalex.org/W3213035342","https://openalex.org/W4210335338"],"related_works":["https://openalex.org/W2108753466","https://openalex.org/W3144354057","https://openalex.org/W2963858139","https://openalex.org/W3213035342","https://openalex.org/W2736398265","https://openalex.org/W1712752320","https://openalex.org/W2950957859","https://openalex.org/W2889640506","https://openalex.org/W4300656036","https://openalex.org/W2611130496"],"abstract_inverted_index":{"Matrix":[0],"completion":[1,43,122],"is":[2,22,45,51,80,107],"critical":[3],"in":[4,60],"a":[5,26,34,53,74,83,111],"wide":[6],"range":[7],"of":[8,87,96,100,137],"scientific":[9],"and":[10,17,36,68,130],"engineering":[11],"applications,":[12],"such":[13],"as":[14,25],"image":[15],"restoration":[16],"recommendation":[18],"systems.":[19],"This":[20],"topic":[21],"commonly":[23],"expressed":[24],"low-rank":[27,98],"matrix":[28,42,121],"optimization":[29],"framework.":[30],"In":[31],"this":[32,49],"paper,":[33],"universal":[35],"effective":[37,94],"rank":[38,66,89],"approximation":[39],"method":[40,114],"for":[41,92],"(RAMC)":[44],"provided.":[46],"Fundamental":[47],"to":[48,62,72,81,120],"strategy":[50],"developing":[52],"general":[54],"function":[55,67],"that":[56,115],"meets":[57],"specific":[58],"conditions":[59],"order":[61],"directly":[63],"approach":[64],"the":[65,88,97,104,127,134,140],"subsequently":[69],"utilizing":[70],"it":[71],"build":[73],"RAMC":[75,105,138],"model.":[76],"The":[77],"major":[78],"goal":[79],"investigate":[82],"more":[84,93],"accurate":[85],"estimate":[86],"function,":[90],"allowing":[91],"acquisition":[95],"structure":[99],"incomplete":[101],"data.":[102],"Further,":[103],"model":[106],"easily":[108],"implemented":[109],"by":[110],"viable":[112],"iterative":[113],"may":[116],"be":[117],"successfully":[118],"used":[119],"tasks.":[123],"Extensive":[124],"experiments":[125],"using":[126],"synthetic":[128],"data":[129],"natural":[131],"images":[132],"reveal":[133],"excellent":[135],"applicability":[136],"over":[139],"existing":[141],"methods.":[142]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
