{"id":"https://openalex.org/W4385486209","doi":"https://doi.org/10.1109/lsp.2023.3301244","title":"Robust Low-Rank Matrix Recovery as Mixed Integer Programming via $\\ell _{0}$-Norm Optimization","display_name":"Robust Low-Rank Matrix Recovery as Mixed Integer Programming via $\\ell _{0}$-Norm Optimization","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4385486209","doi":"https://doi.org/10.1109/lsp.2023.3301244"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2023.3301244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2023.3301244","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5080861244","display_name":"Zhang-Lei Shi","orcid":"https://orcid.org/0000-0002-6637-4975"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang-Lei Shi","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0002-6637-4975","affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101984096","display_name":"Xiao Peng Li","orcid":"https://orcid.org/0000-0002-5448-7219"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Peng Li","raw_affiliation_strings":["State Key Laboratory of Radio Frequency Heterogeneous Integration, Shenzhen University, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-5448-7219","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Radio Frequency Heterogeneous Integration, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100770258","display_name":"Weiguo Li","orcid":"https://orcid.org/0000-0002-7057-972X"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiguo Li","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0002-7057-972X","affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100326651","display_name":"Tongjiang Yan","orcid":"https://orcid.org/0000-0002-9647-503X"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tongjiang Yan","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0002-9647-503X","affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100696824","display_name":"Jian Wang","orcid":"https://orcid.org/0000-0002-4316-932X"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Wang","raw_affiliation_strings":["College of Science, China University of Petroleum (East China), Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0002-4316-932X","affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum (East China), Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034028474","display_name":"Yaru Fu","orcid":"https://orcid.org/0000-0002-6139-7414"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yaru Fu","raw_affiliation_strings":["Department of Electronic Engineering and Computer Science, Hong Kong Metropolitan University, Hong Kong SAR, China"],"raw_orcid":"https://orcid.org/0000-0002-6139-7414","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering and Computer Science, Hong Kong Metropolitan University, Hong Kong SAR, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9303,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84316605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"30","issue":null,"first_page":"1012","last_page":"1016"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9929999709129333,"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/mathematics","display_name":"Mathematics","score":0.6290416121482849},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5474241375923157},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.4852893054485321},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.45599645376205444},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.4459354877471924},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41831815242767334},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40953439474105835},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4016953706741333},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3851395547389984},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.307772159576416},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12140429019927979}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6290416121482849},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5474241375923157},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4852893054485321},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.45599645376205444},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.4459354877471924},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41831815242767334},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40953439474105835},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4016953706741333},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3851395547389984},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.307772159576416},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12140429019927979},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2023.3301244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2023.3301244","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4486658092","display_name":null,"funder_award_id":"22CX06039A","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W63384232","https://openalex.org/W566555209","https://openalex.org/W1992633833","https://openalex.org/W2013015287","https://openalex.org/W2023901033","https://openalex.org/W2078204800","https://openalex.org/W2096154138","https://openalex.org/W2131628350","https://openalex.org/W2145962650","https://openalex.org/W2162708633","https://openalex.org/W2165395308","https://openalex.org/W2168580857","https://openalex.org/W2572018699","https://openalex.org/W2611328865","https://openalex.org/W2790756571","https://openalex.org/W2791026767","https://openalex.org/W2884944060","https://openalex.org/W2903706803","https://openalex.org/W2963466847","https://openalex.org/W2963574945","https://openalex.org/W2964258799","https://openalex.org/W3019637614","https://openalex.org/W3021261347","https://openalex.org/W3100170543","https://openalex.org/W3106018697","https://openalex.org/W3204378239","https://openalex.org/W4280597482","https://openalex.org/W4283364458","https://openalex.org/W4307054432","https://openalex.org/W4312622783","https://openalex.org/W4317796275","https://openalex.org/W6602590048","https://openalex.org/W6653944615","https://openalex.org/W6679973066","https://openalex.org/W6684295950"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W1983756092","https://openalex.org/W2498744856","https://openalex.org/W1595229445","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W2963177394","https://openalex.org/W1965815883","https://openalex.org/W38661524"],"abstract_inverted_index":{"This":[0],"letter":[1],"focuses":[2],"on":[3,50],"the":[4,11,25,40,65,71,88,91,100,103,113,119,136,139,148],"robust":[5],"low-rank":[6],"matrix":[7],"recovery":[8],"(RLRMR)":[9],"in":[10],"presence":[12],"of":[13,18,27,87,112,127,138],"gross":[14],"sparse":[15],"outliers.":[16],"Instead":[17],"using$\\ell":[19],"_{1}$-norm":[20],"to":[21,31,62,80,84,108,153],"reduce":[22],"or":[23],"suppress":[24],"influence":[26],"anomalies,":[28],"we":[29,38],"aim":[30],"eliminate":[32],"their":[33],"impact.":[34],"To":[35],"this":[36],"end,":[37],"model":[39],"RLRMR":[41,156],"as":[42],"a":[43,54,109,117,125],"mixed":[44],"integer":[45],"programming":[46],"(MIP)":[47],"problem":[48,121],"based":[49],"the$\\ell":[51,76],"_{0}$-norm.":[52],"Then,":[53],"block":[55],"coordinate":[56],"descent":[57],"(BCD)":[58],"algorithm":[59,141],"is":[60,106,122,142,151],"developed":[61],"iteratively":[63],"solve":[64],"resultant":[66],"MIP.":[67],"At":[68],"each":[69],"iteration,":[70],"proposed":[72,140,149],"approach":[73],"first":[74],"utilizes":[75],"_{0}$-norm":[77],"optimization":[78,101,120],"theory":[79],"assign":[81],"binary":[82,98],"weights":[83],"all":[85],"entries":[86],"residual":[89],"between":[90],"known":[92],"and":[93,129],"estimated":[94],"matrices.":[95],"With":[96],"these":[97],"weights,":[99],"over":[102],"bilinear":[104],"term":[105],"reduced":[107],"weighted":[110],"extension":[111],"Frobenius":[114],"norm.":[115],"As":[116],"result,":[118],"decomposed":[123],"into":[124],"group":[126],"row-wise":[128],"column-wise":[130],"subproblems":[131],"with":[132],"closed-form":[133],"solutions.":[134],"Additionally,":[135],"convergence":[137],"studied.":[143],"Simulation":[144],"results":[145],"demonstrate":[146],"that":[147],"method":[150],"superior":[152],"five":[154],"state-of-the-art":[155],"algorithms.":[157]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}