{"id":"https://openalex.org/W3087302085","doi":"https://doi.org/10.1109/tip.2020.3023798","title":"Robust Low-Rank Tensor Recovery via Nonconvex Singular Value Minimization","display_name":"Robust Low-Rank Tensor Recovery via Nonconvex Singular Value Minimization","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3087302085","doi":"https://doi.org/10.1109/tip.2020.3023798","mag":"3087302085","pmid":"https://pubmed.ncbi.nlm.nih.gov/32946392"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2020.3023798","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2020.3023798","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100746862","display_name":"Lin Chen","orcid":"https://orcid.org/0000-0001-5144-7855"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Chen","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-5144-7855","affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074129836","display_name":"Xue Jiang","orcid":"https://orcid.org/0000-0001-7099-6817"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue Jiang","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-7099-6817","affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061319150","display_name":"Xingzhao Liu","orcid":"https://orcid.org/0000-0002-4533-3904"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingzhao Liu","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-4533-3904","affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101854736","display_name":"Zhixin Zhou","orcid":"https://orcid.org/0000-0003-3737-9248"},"institutions":[{"id":"https://openalex.org/I4210148107","display_name":"Space Engineering University","ror":"https://ror.org/04rj1td02","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210148107"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhixin Zhou","raw_affiliation_strings":["Space Engineering University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Space Engineering University, Beijing, China","institution_ids":["https://openalex.org/I4210148107"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7245,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.96459591,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"29","issue":null,"first_page":"9044","last_page":"9059"},"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9991000294685364,"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":0.9987999796867371,"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/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.7958253622055054},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6188445091247559},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.612068772315979},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5921581387519836},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.5777099132537842},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.5727853178977966},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5573931336402893},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.508169412612915},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5058695673942566},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.4743691384792328},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4628230035305023},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.43748363852500916},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43391144275665283},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3416631519794464},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.338703989982605},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.2991885840892792},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0972524881362915},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0803622305393219},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07575038075447083}],"concepts":[{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.7958253622055054},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6188445091247559},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.612068772315979},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5921581387519836},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.5777099132537842},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.5727853178977966},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5573931336402893},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.508169412612915},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5058695673942566},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.4743691384792328},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4628230035305023},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.43748363852500916},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43391144275665283},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3416631519794464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.338703989982605},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.2991885840892792},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0972524881362915},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0803622305393219},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07575038075447083},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2020.3023798","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2020.3023798","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},{"id":"pmid:32946392","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32946392","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2463320017","display_name":null,"funder_award_id":"61971279","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1963826206","https://openalex.org/W1969698720","https://openalex.org/W1978259121","https://openalex.org/W1985629697","https://openalex.org/W1992426838","https://openalex.org/W1993482030","https://openalex.org/W2018990310","https://openalex.org/W2030927653","https://openalex.org/W2038891887","https://openalex.org/W2043571470","https://openalex.org/W2056532343","https://openalex.org/W2067170864","https://openalex.org/W2074577749","https://openalex.org/W2084983808","https://openalex.org/W2091449379","https://openalex.org/W2106568288","https://openalex.org/W2107861471","https://openalex.org/W2110531331","https://openalex.org/W2142652110","https://openalex.org/W2164278908","https://openalex.org/W2214362489","https://openalex.org/W2289145899","https://openalex.org/W2412278696","https://openalex.org/W2462232592","https://openalex.org/W2505029951","https://openalex.org/W2598601363","https://openalex.org/W2605217922","https://openalex.org/W2743758565","https://openalex.org/W2752077201","https://openalex.org/W2762772695","https://openalex.org/W2778192313","https://openalex.org/W2795056451","https://openalex.org/W2800190297","https://openalex.org/W2895561155","https://openalex.org/W2901836533","https://openalex.org/W2903006790","https://openalex.org/W2963181993","https://openalex.org/W2964214749","https://openalex.org/W2969770677","https://openalex.org/W2969860805","https://openalex.org/W2977894483","https://openalex.org/W2979982309","https://openalex.org/W3010488673","https://openalex.org/W3088225538","https://openalex.org/W3124414826","https://openalex.org/W4229589325","https://openalex.org/W4292363360","https://openalex.org/W6660073329"],"related_works":["https://openalex.org/W4390143385","https://openalex.org/W2730482097","https://openalex.org/W3104099693","https://openalex.org/W4295239187","https://openalex.org/W2782047334","https://openalex.org/W4298234822","https://openalex.org/W2963965423","https://openalex.org/W2184500224","https://openalex.org/W208067387","https://openalex.org/W3017414697"],"abstract_inverted_index":{"Tensor":[0],"robust":[1],"principal":[2],"component":[3],"analysis":[4],"via":[5],"tensor":[6,19,59,97,212],"nuclear":[7],"norm":[8,61],"(TNN)":[9],"minimization":[10,103,147],"has":[11],"been":[12],"recently":[13],"proposed":[14,178,202],"to":[15,27,37,85,106,182],"recover":[16],"the":[17,64,72,87,94,102,129,139,145,149,167,183,197,201],"low-rank":[18,88,156],"corrupted":[20],"with":[21,121,133,174],"sparse":[22],"noise/outliers.":[23],"TNN":[24],"is":[25,99],"demonstrated":[26],"be":[28],"a":[29,55,91,116],"convex":[30,131],"surrogate":[31,66],"of":[32,58,67,90,96,104,128,171,200,211],"rank.":[33],"However,":[34],"it":[35],"tends":[36],"over-penalize":[38],"large":[39],"singular":[40,76],"values":[41,77],"and":[42,78,148,187,189,215],"thus":[43],"usually":[44],"results":[45,195],"in":[46,192,209],"biased":[47],"solutions.":[48],"To":[49,110],"handle":[50,111],"this":[51],"issue,":[52],"we":[53,114,152],"propose":[54,115,154],"new":[56],"definition":[57],"logarithmic":[60],"(TLN)":[62],"as":[63],"nonconvex":[65,117],"rank,":[68],"which":[69,137],"can":[70],"decrease":[71],"penalization":[73],"on":[74,81],"larger":[75],"increase":[79],"that":[80],"smaller":[82],"ones":[83],"simultaneously":[84],"preserve":[86],"structure":[89],"tensor.":[92],"Then,":[93],"strategy":[95],"factorization":[98],"combined":[100],"into":[101],"TLN":[105,146],"improve":[107],"computational":[108,216],"performance.":[109],"impulsive":[112],"scenarios,":[113],"'p-ball":[118,150],"projection":[119],"scheme":[120,132],"0":[122],"<":[123,125],"p":[124,134],"1":[126],"instead":[127],"conventional":[130],"=":[135],"1,":[136],"enhances":[138],"robustness":[140],"against":[141],"outliers.":[142],"By":[143],"incorporating":[144],"projection,":[151],"finally":[153],"two":[155],"recovery":[157,186,213],"algorithms,":[158],"whose":[159],"resulting":[160],"optimization":[161],"problems":[162],"are":[163,180],"efficiently":[164],"solved":[165],"by":[166],"alternating":[168],"direction":[169],"method":[170],"multipliers":[172],"(ADMM)":[173],"convergence":[175],"guarantees.":[176],"The":[177],"algorithms":[179,208],"applied":[181],"synthetic":[184],"data":[185],"image":[188],"video":[190],"restorations":[191],"real-world.":[193],"Experimental":[194],"demonstrate":[196],"superior":[198],"performance":[199],"methods":[203],"over":[204],"several":[205],"state-ofthe-":[206],"art":[207],"terms":[210],"accuracy":[214],"efficiency.":[217]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
