{"id":"https://openalex.org/W2804954685","doi":"https://doi.org/10.1109/access.2018.2836925","title":"Lagrange Dual Method for Sparsity Constrained Optimization","display_name":"Lagrange Dual Method for Sparsity Constrained Optimization","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2804954685","doi":"https://doi.org/10.1109/access.2018.2836925","mag":"2804954685"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2836925","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2836925","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2836925","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100413098","display_name":"Wenxing Zhu","orcid":"https://orcid.org/0000-0002-8698-0024"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenxing Zhu","raw_affiliation_strings":["Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-8698-0024","affiliations":[{"raw_affiliation_string":"Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048046617","display_name":"Zhengshan Dong","orcid":"https://orcid.org/0000-0002-2179-0027"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengshan Dong","raw_affiliation_strings":["Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053193108","display_name":"Yuanlong Yu","orcid":"https://orcid.org/0000-0002-2112-6214"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanlong Yu","raw_affiliation_strings":["Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-2112-6214","affiliations":[{"raw_affiliation_string":"Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101854580","display_name":"Jianli Chen","orcid":"https://orcid.org/0000-0002-1391-2696"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianli Chen","raw_affiliation_strings":["Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou University, Fuzhou, China","institution_ids":["https://openalex.org/I80947539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I80947539"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.8327,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69911734,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":null,"first_page":"28404","last_page":"28416"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9962999820709229,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.8119171261787415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4917941391468048},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4853900671005249},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.467556357383728},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4136168658733368},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.402127742767334},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34691303968429565},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32971853017807007}],"concepts":[{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.8119171261787415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4917941391468048},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4853900671005249},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.467556357383728},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4136168658733368},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.402127742767334},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34691303968429565},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32971853017807007},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2836925","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2836925","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ab691381d27449549c402de5db7c1dc0","is_oa":true,"landing_page_url":"https://doaj.org/article/ab691381d27449549c402de5db7c1dc0","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":"IEEE Access, Vol 6, Pp 28404-28416 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2836925","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2836925","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4451028710","display_name":"\u57fa\u4e8e\u70ed\u4f20\u5bfc\u65b9\u7a0b\u7684\u8d85\u5927\u89c4\u6a21\u96c6\u6210\u7535\u8def\u5e03\u5c40\u6a21\u578b\u53ca\u5feb\u901f\u7b97\u6cd5\u7814\u7a76","funder_award_id":"61672005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7843065619","display_name":null,"funder_award_id":"11331003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8485353960","display_name":null,"funder_award_id":"11501115","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":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1875533481","https://openalex.org/W1937543970","https://openalex.org/W1980454827","https://openalex.org/W1998007267","https://openalex.org/W1999174140","https://openalex.org/W2004544971","https://openalex.org/W2006262045","https://openalex.org/W2021302824","https://openalex.org/W2023297674","https://openalex.org/W2025079166","https://openalex.org/W2028781966","https://openalex.org/W2032664949","https://openalex.org/W2065030431","https://openalex.org/W2075577192","https://openalex.org/W2104266187","https://openalex.org/W2106967375","https://openalex.org/W2109449402","https://openalex.org/W2123023890","https://openalex.org/W2126607811","https://openalex.org/W2151693816","https://openalex.org/W2158973156","https://openalex.org/W2161227280","https://openalex.org/W2164452299","https://openalex.org/W2171534739","https://openalex.org/W2261523598","https://openalex.org/W2289917018","https://openalex.org/W2296616510","https://openalex.org/W2508839290","https://openalex.org/W2550629656","https://openalex.org/W2949483514","https://openalex.org/W2963292690","https://openalex.org/W2963579802","https://openalex.org/W4250955649","https://openalex.org/W4294541781","https://openalex.org/W4302439355","https://openalex.org/W6674802743"],"related_works":["https://openalex.org/W2158224665","https://openalex.org/W2379589510","https://openalex.org/W2810730439","https://openalex.org/W4300044672","https://openalex.org/W1881631164","https://openalex.org/W1976264255","https://openalex.org/W2358292267","https://openalex.org/W2378166785","https://openalex.org/W2006535563","https://openalex.org/W2104468831"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,33,62],"investigate":[4],"the":[5,17,24,31,40,48,54,64,71,77,92,119,122],"<inline-formula":[6,83],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[7,84],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[8,85],"<tex-math":[9,86],"notation=\"LaTeX\">$l_{0}$":[10],"</tex-math></inline-formula>":[11,88],"quasi-norm":[12],"constrained":[13,42],"optimization":[14,43],"problem":[15],"in":[16,125],"Lagrange":[18,36,55,60,72],"dual":[19,37,56],"framework":[20],"and":[21,97,110,112],"show":[22,75],"that":[23,76],"strong":[25],"duality":[26],"property":[27],"holds.":[28],"Motivated":[29],"by":[30],"property,":[32],"propose":[34],"a":[35,100],"method":[38,46,68,79,124],"for":[39],"sparsity":[41],"problem.":[44,94],"The":[45],"adopts":[47],"bisection":[49],"search":[50],"technique":[51],"to":[52,69,81],"maximize":[53],"function.":[57,73],"For":[58],"each":[59],"multiplier,":[61],"adopt":[63],"iterative":[65],"hard":[66],"thresholding":[67],"minimize":[70],"We":[74],"proposed":[78,123],"converges":[80],"an":[82],"notation=\"LaTeX\">$L$":[87],"-stationary":[89],"point":[90],"of":[91,102,121],"primal":[93],"Computational":[95],"experiments":[96],"comparisons":[98],"on":[99],"number":[101],"test":[103],"instances":[104,109],"(including":[105],"random":[106,111],"compressed":[107],"sensing":[108],"real":[113],"sparse":[114,127],"logistic":[115],"regression":[116],"instances)":[117],"demonstrate":[118],"effectiveness":[120],"generating":[126],"solution":[128],"accurately.":[129]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
