{"id":"https://openalex.org/W2583779396","doi":"https://doi.org/10.3390/info8010017","title":"Exact Solution Analysis of Strongly Convex Programming for Principal Component Pursuit","display_name":"Exact Solution Analysis of Strongly Convex Programming for Principal Component Pursuit","publication_year":2017,"publication_date":"2017-02-02","ids":{"openalex":"https://openalex.org/W2583779396","doi":"https://doi.org/10.3390/info8010017","mag":"2583779396"},"language":"en","primary_location":{"id":"doi:10.3390/info8010017","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info8010017","pdf_url":"https://www.mdpi.com/2078-2489/8/1/17/pdf?version=1490343788","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2078-2489/8/1/17/pdf?version=1490343788","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055589507","display_name":"Qingshan You","orcid":"https://orcid.org/0000-0002-1806-1560"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingshan You","raw_affiliation_strings":["School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China"],"raw_orcid":"https://orcid.org/0000-0002-1806-1560","affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026335787","display_name":"Qun Wan","orcid":"https://orcid.org/0000-0002-6607-5422"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qun Wan","raw_affiliation_strings":["School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026335787"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01382473,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"1","first_page":"17","last_page":"17"},"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/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.8538426756858826},{"id":"https://openalex.org/keywords/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.8001594543457031},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.6516488790512085},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6401412487030029},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.611697793006897},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5753335952758789},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5726268291473389},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5301286578178406},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5299010872840881},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5050686001777649},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4990205764770508},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.48043251037597656},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.4596083164215088},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4474244713783264},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.43873706459999084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3708546757698059},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3430098295211792},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15191277861595154},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08690965175628662},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08072000741958618},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06518393754959106}],"concepts":[{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.8538426756858826},{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.8001594543457031},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.6516488790512085},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6401412487030029},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.611697793006897},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5753335952758789},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5726268291473389},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5301286578178406},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5299010872840881},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5050686001777649},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4990205764770508},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.48043251037597656},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4596083164215088},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4474244713783264},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.43873706459999084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3708546757698059},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3430098295211792},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15191277861595154},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08690965175628662},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08072000741958618},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06518393754959106},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/info8010017","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info8010017","pdf_url":"https://www.mdpi.com/2078-2489/8/1/17/pdf?version=1490343788","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c82999c5dffb4467b76bd1a9190786a0","is_oa":true,"landing_page_url":"https://doaj.org/article/c82999c5dffb4467b76bd1a9190786a0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Information, Vol 8, Iss 1, p 17 (2017)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2078-2489/8/1/17/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/info8010017","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Information; Volume 8; Issue 1; Pages: 17","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/info8010017","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info8010017","pdf_url":"https://www.mdpi.com/2078-2489/8/1/17/pdf?version=1490343788","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2871577335","display_name":null,"funder_award_id":"U1533125","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2583779396.pdf","grobid_xml":"https://content.openalex.org/works/W2583779396.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W282757658","https://openalex.org/W1573820523","https://openalex.org/W1997650685","https://openalex.org/W2005082281","https://openalex.org/W2039939700","https://openalex.org/W2047071281","https://openalex.org/W2063392856","https://openalex.org/W2065180801","https://openalex.org/W2103972604","https://openalex.org/W2111861511","https://openalex.org/W2129812935","https://openalex.org/W2131628350","https://openalex.org/W2134332047","https://openalex.org/W2141713516","https://openalex.org/W2145962650","https://openalex.org/W2487486526","https://openalex.org/W2611328865","https://openalex.org/W2951443864","https://openalex.org/W2951544014","https://openalex.org/W2964352004","https://openalex.org/W3111652977"],"related_works":["https://openalex.org/W2026600343","https://openalex.org/W2391247224","https://openalex.org/W3083299225","https://openalex.org/W2013655535","https://openalex.org/W2376997122","https://openalex.org/W4287904014","https://openalex.org/W2133925519","https://openalex.org/W2040676043","https://openalex.org/W2391091101","https://openalex.org/W4256242347"],"abstract_inverted_index":{"In":[0,31],"this":[1,32],"paper,":[2,33],"we":[3,34,53,85],"address":[4],"strongly":[5,42],"convex":[6,43],"programming":[7],"for":[8],"principal":[9,77],"component":[10,78],"analysis,":[11],"which":[12,40],"recovers":[13],"a":[14,19,25],"target":[15],"matrix":[16,50],"that":[17,57],"is":[18,73],"superposition":[20],"of":[21,28],"low-complexity":[22],"structures":[23],"from":[24],"small":[26],"set":[27],"linear":[29,82],"measurements.":[30],"\ufb01rstly":[35],"provide":[36,86],"suf\ufb01cient":[37],"conditions":[38],"under":[39],"the":[41,47,70,76],"models":[44],"lead":[45],"to":[46,62,75],"exact":[48],"low-rank":[49],"recovery.":[51],"Secondly,":[52],"also":[54],"give":[55],"suggestions":[56],"will":[58],"guide":[59],"us":[60],"how":[61],"choose":[63],"suitable":[64],"parameters":[65],"in":[66],"practical":[67],"algorithms.":[68],"Finally,":[69],"proposed":[71],"result":[72],"extended":[74],"pursuit":[79],"with":[80],"reduced":[81],"measurements":[83],"and":[84],"numerical":[87],"experiments.":[88]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
