{"id":"https://openalex.org/W2939946185","doi":"https://doi.org/10.1109/tsp.2019.2907264","title":"Stable Principal Component Pursuit via Convex Analysis","display_name":"Stable Principal Component Pursuit via Convex Analysis","publication_year":2019,"publication_date":"2019-03-25","ids":{"openalex":"https://openalex.org/W2939946185","doi":"https://doi.org/10.1109/tsp.2019.2907264","mag":"2939946185"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2019.2907264","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2019.2907264","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal 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/A5086925848","display_name":"Yin Lei","orcid":"https://orcid.org/0000-0002-7299-0387"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lei Yin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, NY, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078399521","display_name":"Ankit Parekh","orcid":"https://orcid.org/0000-0002-5396-0553"},"institutions":[{"id":"https://openalex.org/I98704320","display_name":"Icahn School of Medicine at Mount Sinai","ror":"https://ror.org/04a9tmd77","country_code":"US","type":"education","lineage":["https://openalex.org/I1320796813","https://openalex.org/I98704320"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ankit Parekh","raw_affiliation_strings":["Division of Pulmonary, Critical Care & Sleep Medicine, Department of Medicine, Icahn School of Medicine at Mount Sinai, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Division of Pulmonary, Critical Care & Sleep Medicine, Department of Medicine, Icahn School of Medicine at Mount Sinai, New York, NY, USA","institution_ids":["https://openalex.org/I98704320"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058321875","display_name":"Ivan Selesnick","orcid":"https://orcid.org/0000-0002-4939-3971"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ivan Selesnick","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University Tandon School of Engineering, NY, USA","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086925848"],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":null,"apc_paid":null,"fwci":2.4592,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.888784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"67","issue":"10","first_page":"2595","last_page":"2607"},"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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":0.9969000220298767,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.5847519636154175},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.576307475566864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5708348751068115},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5583323836326599},{"id":"https://openalex.org/keywords/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.55503910779953},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5457713603973389},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5059732794761658},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.4812909662723541},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.469940721988678},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.45339515805244446},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4452374279499054},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4362971782684326},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.43093040585517883},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.39948582649230957},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3702901005744934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33207982778549194},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2217790186405182},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.19799917936325073},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08672401309013367}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5847519636154175},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.576307475566864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5708348751068115},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5583323836326599},{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.55503910779953},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5457713603973389},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5059732794761658},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.4812909662723541},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.469940721988678},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.45339515805244446},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4452374279499054},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4362971782684326},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.43093040585517883},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.39948582649230957},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3702901005744934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33207982778549194},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2217790186405182},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.19799917936325073},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08672401309013367},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2019.2907264","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2019.2907264","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G5607362088","display_name":null,"funder_award_id":"N00014-15-1-2314","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5779149846","display_name":null,"funder_award_id":"CCF-1525398","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1517295252","https://openalex.org/W1860736741","https://openalex.org/W1870731382","https://openalex.org/W1895097333","https://openalex.org/W1944540851","https://openalex.org/W1965125844","https://openalex.org/W1966735762","https://openalex.org/W1968602806","https://openalex.org/W1978276805","https://openalex.org/W1980500788","https://openalex.org/W1985298146","https://openalex.org/W1991003630","https://openalex.org/W1994040806","https://openalex.org/W1996726072","https://openalex.org/W2010469867","https://openalex.org/W2031993275","https://openalex.org/W2045983409","https://openalex.org/W2050630265","https://openalex.org/W2074682976","https://openalex.org/W2075547019","https://openalex.org/W2079775628","https://openalex.org/W2089269329","https://openalex.org/W2103338902","https://openalex.org/W2103972604","https://openalex.org/W2122950831","https://openalex.org/W2142077116","https://openalex.org/W2142451209","https://openalex.org/W2157011125","https://openalex.org/W2166956514","https://openalex.org/W2167577940","https://openalex.org/W2168580857","https://openalex.org/W2168903001","https://openalex.org/W2175634846","https://openalex.org/W2194818953","https://openalex.org/W2199944189","https://openalex.org/W2214177029","https://openalex.org/W2237974960","https://openalex.org/W2507294395","https://openalex.org/W2531491639","https://openalex.org/W2581630057","https://openalex.org/W2588776893","https://openalex.org/W2592285383","https://openalex.org/W2593267012","https://openalex.org/W2620850570","https://openalex.org/W2724686744","https://openalex.org/W2759290466","https://openalex.org/W2784141614","https://openalex.org/W2884730834","https://openalex.org/W2890046235","https://openalex.org/W2963965423","https://openalex.org/W2964094205","https://openalex.org/W3098306969","https://openalex.org/W3100170543","https://openalex.org/W3102415113","https://openalex.org/W3105677939","https://openalex.org/W4244393449","https://openalex.org/W4244769743","https://openalex.org/W4300577791","https://openalex.org/W6639262245","https://openalex.org/W6681016373","https://openalex.org/W6684416548","https://openalex.org/W6688016547","https://openalex.org/W6688334558"],"related_works":["https://openalex.org/W2060132011","https://openalex.org/W4390143385","https://openalex.org/W3174042135","https://openalex.org/W3104099693","https://openalex.org/W2990436289","https://openalex.org/W208067387","https://openalex.org/W2964352004","https://openalex.org/W2604717658","https://openalex.org/W2906988372","https://openalex.org/W2922087730"],"abstract_inverted_index":{"This":[0],"paper":[1],"aims":[2],"to":[3,74],"recover":[4],"a":[5,9,23,28,42],"low-rank":[6],"matrix":[7,11],"and":[8,64,101],"sparse":[10],"from":[12],"their":[13],"superposition":[14],"observed":[15],"in":[16,70],"additive":[17],"white":[18],"Gaussian":[19],"noise":[20],"by":[21],"formulating":[22],"convex":[24,55],"optimization":[25],"problem":[26],"with":[27],"non-separable":[29],"non-convex":[30],"regularization.":[31],"The":[32,89],"proposed":[33,93],"nonconvex":[34],"penalty":[35,46],"function":[36,82],"extends":[37],"the":[38,75,80,92],"recent":[39],"work":[40],"of":[41,54,61,77,91],"multivariate":[43],"generalized":[44],"minimax-concave":[45],"for":[47,97],"promoting":[48],"sparsity.":[49],"It":[50],"avoids":[51],"underestimation":[52],"characteristic":[53],"regularization,":[56],"which":[57],"is":[58,95],"weighted":[59],"sum":[60],"nuclear":[62],"norm":[63,69],"\u2113":[65],"<sub":[66],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[68],"our":[71],"case.":[72],"Due":[73],"availability":[76],"convex-preserving":[78],"strategy,":[79],"cost":[81],"can":[83],"be":[84],"minimized":[85],"through":[86],"forward-backward":[87],"splitting.":[88],"performance":[90],"method":[94],"illustrated":[96],"both":[98],"numerical":[99],"simulation":[100],"hyperspectral":[102],"images":[103],"restoration.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}