{"id":"https://openalex.org/W2009348723","doi":"https://doi.org/10.1155/2013/959403","title":"Restricted Isometry Property of Principal Component Pursuit with Reduced Linear Measurements","display_name":"Restricted Isometry Property of Principal Component Pursuit with Reduced Linear Measurements","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2009348723","doi":"https://doi.org/10.1155/2013/959403","mag":"2009348723"},"language":"en","primary_location":{"id":"doi:10.1155/2013/959403","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/959403","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/959403.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/959403.pdf","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"]},{"id":"https://openalex.org/I58995867","display_name":"Civil Aviation Flight University of China","ror":"https://ror.org/01xyb1v19","country_code":"CN","type":"education","lineage":["https://openalex.org/I58995867"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingshan You","raw_affiliation_strings":["School of Computer Science, Civil Aviation Flight University of China, GuangHan, Sichuan 618307, China","School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Civil Aviation Flight University of China, GuangHan, Sichuan 618307, China","institution_ids":["https://openalex.org/I58995867"]},{"raw_affiliation_string":"School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","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, Sichuan 611731, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013811791","display_name":"Haiwen Xu","orcid":"https://orcid.org/0000-0002-0302-6439"},"institutions":[{"id":"https://openalex.org/I58995867","display_name":"Civil Aviation Flight University of China","ror":"https://ror.org/01xyb1v19","country_code":"CN","type":"education","lineage":["https://openalex.org/I58995867"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiwen Xu","raw_affiliation_strings":["School of Computer Science, Civil Aviation Flight University of China, GuangHan, Sichuan 618307, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Civil Aviation Flight University of China, GuangHan, Sichuan 618307, China","institution_ids":["https://openalex.org/I58995867"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026335787"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07530374,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"6"},"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":0.9973000288009644,"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9939000010490417,"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/restricted-isometry-property","display_name":"Restricted isometry property","score":0.8970370888710022},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.7893480062484741},{"id":"https://openalex.org/keywords/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.7723692655563354},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6304051876068115},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5730632543563843},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5688181519508362},{"id":"https://openalex.org/keywords/isometry","display_name":"Isometry (Riemannian geometry)","score":0.5449709892272949},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5192270874977112},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5100120306015015},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.49538862705230713},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48126810789108276},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47645190358161926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4737057387828827},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4460747539997101},{"id":"https://openalex.org/keywords/matrix-completion","display_name":"Matrix completion","score":0.42708539962768555},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.42645782232284546},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40190374851226807},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34782111644744873},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.281417578458786},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.258381724357605},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18855047225952148},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09663829207420349},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09079226851463318}],"concepts":[{"id":"https://openalex.org/C17902559","wikidata":"https://www.wikidata.org/wiki/Q17099734","display_name":"Restricted isometry property","level":3,"score":0.8970370888710022},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.7893480062484741},{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.7723692655563354},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6304051876068115},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5730632543563843},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5688181519508362},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.5449709892272949},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5192270874977112},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5100120306015015},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.49538862705230713},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48126810789108276},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47645190358161926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4737057387828827},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4460747539997101},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.42708539962768555},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.42645782232284546},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40190374851226807},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34782111644744873},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.281417578458786},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.258381724357605},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18855047225952148},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09663829207420349},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09079226851463318},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/959403","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/959403","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/959403.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394807802","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1394807802","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:959403","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/959403.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:85047abaacf34228ab23cffb0adf2971","is_oa":true,"landing_page_url":"https://doaj.org/article/85047abaacf34228ab23cffb0adf2971","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":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/959403","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/959403","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/959403.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2119888829","display_name":"\u8f90\u5c04\u6e90\u4f4d\u7f6e\u88ab\u52a8\u611f\u77e5\u7406\u8bba\u4e0e\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61172140","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3187571226","display_name":null,"funder_award_id":"A1098522-02","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5100963528","display_name":null,"funder_award_id":"U1233105","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"},{"id":"https://openalex.org/F4320324522","display_name":"Civil Aviation Administration of China","ror":"https://ror.org/05gfwht30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2009348723.pdf","grobid_xml":"https://content.openalex.org/works/W2009348723.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1520399807","https://openalex.org/W1560153690","https://openalex.org/W1573301526","https://openalex.org/W1997650685","https://openalex.org/W2039939700","https://openalex.org/W2045983409","https://openalex.org/W2109240917","https://openalex.org/W2118550318","https://openalex.org/W2133833176","https://openalex.org/W2141713516","https://openalex.org/W2145962650","https://openalex.org/W2153663612","https://openalex.org/W2321729736","https://openalex.org/W2494779131","https://openalex.org/W2611328865","https://openalex.org/W2787328446","https://openalex.org/W2964352004","https://openalex.org/W3100110387","https://openalex.org/W3140257171"],"related_works":["https://openalex.org/W1595179898","https://openalex.org/W2949399405","https://openalex.org/W4237430004","https://openalex.org/W4301619540","https://openalex.org/W4297570801","https://openalex.org/W1639246335","https://openalex.org/W116214155","https://openalex.org/W2568623927","https://openalex.org/W2952050240","https://openalex.org/W2025666718"],"abstract_inverted_index":{"The":[0,24],"principal":[1,34],"component":[2,35],"prsuit":[3],"with":[4,65],"reduced":[5],"linear":[6],"measurements":[7],"(PCP_RLM)":[8],"has":[9],"gained":[10],"great":[11],"attention":[12],"in":[13,94],"applications,":[14],"such":[15],"as":[16,48],"machine":[17],"learning,":[18],"video,":[19],"and":[20,44],"aligning":[21],"multiple":[22],"images.":[23],"recent":[25],"research":[26],"shows":[27],"that":[28,55],"strongly":[29,95],"convex":[30,96],"optimization":[31],"for":[32],"compressive":[33],"pursuit":[36],"can":[37],"guarantee":[38],"the":[39,56,72],"exact":[40],"low-rank":[41],"matrix":[42,46],"recovery":[43,47],"sparse":[45],"well.":[49],"In":[50,68],"this":[51],"paper,":[52],"we":[53,70],"prove":[54],"operator":[57],"of":[58,74],"PCP_RLM":[59],"satisfies":[60],"restricted":[61],"isometry":[62],"property":[63],"(RIP)":[64],"high":[66],"probability.":[67],"addition,":[69],"derive":[71],"bound":[73],"parameters":[75,93],"depending":[76],"only":[77],"on":[78,82],"observed":[79],"quantities":[80],"based":[81],"RIP":[83],"property,":[84],"which":[85],"will":[86],"guide":[87],"us":[88],"how":[89],"to":[90],"choose":[91],"suitable":[92],"programming.":[97]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}