{"id":"https://openalex.org/W2059718006","doi":"https://doi.org/10.1155/2011/528734","title":"Noisy Sparse Recovery Based on Parameterized Quadratic Programming by Thresholding","display_name":"Noisy Sparse Recovery Based on Parameterized Quadratic Programming by Thresholding","publication_year":2011,"publication_date":"2011-02-22","ids":{"openalex":"https://openalex.org/W2059718006","doi":"https://doi.org/10.1155/2011/528734","mag":"2059718006"},"language":"en","primary_location":{"id":"doi:10.1155/2011/528734","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/528734","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2011/528734","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2011/528734","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100433227","display_name":"Jun Zhang","orcid":"https://orcid.org/0000-0002-9647-0941"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China","College of Information Engineering, Guangdong University of Technology, Guangzhou, 510006, China","College of Information Engineering, Guangdong University of Technology, Guangzhou, China","Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"College of Information Engineering, Guangdong University of Technology, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I139024713"]},{"raw_affiliation_string":"College of Information Engineering, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]},{"raw_affiliation_string":"Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100672536","display_name":"Yuanqing Li","orcid":"https://orcid.org/0000-0003-4288-5591"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanqing Li","raw_affiliation_strings":["Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China","Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110615211","display_name":"Zhuliang Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhuliang Yu","raw_affiliation_strings":["Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China","Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048899636","display_name":"Zhenghui Gu","orcid":"https://orcid.org/0000-0001-9365-2953"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenghui Gu","raw_affiliation_strings":["Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China","Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Center for Brain-Computer Interfaces and Brain Information Processing, College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100433227"],"corresponding_institution_ids":["https://openalex.org/I139024713","https://openalex.org/I90610280"],"apc_list":{"value":1665,"currency":"USD","value_usd":1665},"apc_paid":{"value":1665,"currency":"USD","value_usd":1665},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.1149064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"2011","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/lasso","display_name":"Lasso (programming language)","score":0.8051517605781555},{"id":"https://openalex.org/keywords/underdetermined-system","display_name":"Underdetermined system","score":0.799062967300415},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7759515047073364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6245254278182983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.56673264503479},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.5173053741455078},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49526968598365784},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.48641467094421387},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.46863245964050293},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4415808320045471},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39619845151901245},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3616843819618225},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26641470193862915}],"concepts":[{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.8051517605781555},{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.799062967300415},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7759515047073364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6245254278182983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.56673264503479},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.5173053741455078},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49526968598365784},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.48641467094421387},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.46863245964050293},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4415808320045471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39619845151901245},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3616843819618225},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26641470193862915},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2011/528734","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/528734","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2011/528734","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ba29c4278d5f4c2a9dba785dade95e19","is_oa":false,"landing_page_url":"https://doaj.org/article/ba29c4278d5f4c2a9dba785dade95e19","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2011 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2011/528734","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/528734","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2011/528734","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2106239457","display_name":null,"funder_award_id":"NCET-10","funder_id":"https://openalex.org/F4320334924","funder_display_name":"Program for New Century Excellent Talents in University"},{"id":"https://openalex.org/G2437753432","display_name":null,"funder_award_id":"60825306","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3134010451","display_name":"\u57fa\u4e8e\u51f8\u4f18\u5316\u7684\u73b0\u4ee3\u9c81\u68d2\u81ea\u9002\u5e94\u6ce2\u675f\u5f62\u6210\u6280\u672f\u7814\u7a76","funder_award_id":"60802068","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8110031646","display_name":null,"funder_award_id":"NCET-10","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/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320323059","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50"},{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2059718006.pdf","grobid_xml":"https://content.openalex.org/works/W2059718006.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1968694834","https://openalex.org/W2012330712","https://openalex.org/W2078204800","https://openalex.org/W2080815943","https://openalex.org/W2097323375","https://openalex.org/W2099167393","https://openalex.org/W2105454037","https://openalex.org/W2108833652","https://openalex.org/W2115447612","https://openalex.org/W2115632542","https://openalex.org/W2127300249","https://openalex.org/W2129812935","https://openalex.org/W2135046866","https://openalex.org/W2145096794","https://openalex.org/W2147656689","https://openalex.org/W2149206122","https://openalex.org/W2153909896","https://openalex.org/W2157969180","https://openalex.org/W2296616510","https://openalex.org/W3101762025","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W176802781","https://openalex.org/W2997320962","https://openalex.org/W4287906532","https://openalex.org/W3011121006","https://openalex.org/W2066796569","https://openalex.org/W3213509687","https://openalex.org/W2051058708","https://openalex.org/W121937048","https://openalex.org/W2375962929","https://openalex.org/W2150755939"],"abstract_inverted_index":{"Parameterized":[0],"quadratic":[1],"programming":[2],"(Lasso)":[3],"is":[4,44,81,101],"a":[5,118],"powerful":[6],"tool":[7],"for":[8],"the":[9,26,38,47,54,60,64,75,88,105,110,114,125,128],"recovery":[10,32,35,55,65,89,143,147],"of":[11,28,57,62,66,74,79,127,140],"sparse":[12],"signals":[13],"based":[14,36],"on":[15,37],"underdetermined":[16],"observations":[17],"contaminated":[18],"by":[19,103],"noise.":[20],"In":[21],"this":[22,86],"paper,":[23],"we":[24,52],"study":[25],"problem":[27],"simultaneous":[29],"sparsity":[30,141],"pattern":[31,142],"and":[33,112,144],"approximation":[34,146],"Lasso.":[39,129],"An":[40],"extended":[41,98],"Lasso":[42,58,80,99,152],"method":[43,136],"proposed":[45],"with":[46,93],"following":[48],"main":[49],"contributions:":[50],"(1)":[51],"analyze":[53],"accuracy":[56],"under":[59],"condition":[61],"guaranteeing":[63],"nonzero":[67],"entries":[68,123],"positions.":[69],"Specifically,":[70],"an":[71,97],"upper":[72],"bound":[73,111],"tuning":[76,106],"parameter":[77,107],"h":[78,84,94],"derived.":[82],"If":[83],"exceeds":[85],"bound,":[87],"error":[90],"will":[91],"increase":[92],";":[95],"(2)":[96],"algorithm":[100],"developed":[102],"choosing":[104],"according":[108],"to":[109,120,149],"at":[113],"same":[115],"time":[116],"deriving":[117],"threshold":[119],"recover":[121],"zero":[122],"from":[124],"output":[126],"The":[130],"simulation":[131],"results":[132],"validate":[133],"that":[134],"our":[135],"produces":[137],"higher":[138],"probability":[139],"better":[145],"compared":[148],"two":[150],"state-of-the-art":[151],"methods.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}