{"id":"https://openalex.org/W4311194536","doi":"https://doi.org/10.1007/s10898-022-01257-6","title":"A non-convex piecewise quadratic approximation of $$\\ell _{0}$$ regularization: theory and accelerated algorithm","display_name":"A non-convex piecewise quadratic approximation of $$\\ell _{0}$$ regularization: theory and accelerated algorithm","publication_year":2022,"publication_date":"2022-12-02","ids":{"openalex":"https://openalex.org/W4311194536","doi":"https://doi.org/10.1007/s10898-022-01257-6"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-022-01257-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-022-01257-6","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","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/A5100340627","display_name":"Qian Li","orcid":"https://orcid.org/0000-0002-8308-9551"},"institutions":[{"id":"https://openalex.org/I141962983","display_name":"Shanghai University of Engineering Science","ror":"https://ror.org/0557b9y08","country_code":"CN","type":"education","lineage":["https://openalex.org/I141962983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian Li","raw_affiliation_strings":["School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai, 201620, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai, 201620, China","institution_ids":["https://openalex.org/I141962983"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041617064","display_name":"Wei Zhang","orcid":"https://orcid.org/0000-0002-6195-169X"},"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":true,"raw_author_name":"Wei Zhang","raw_affiliation_strings":["School of Mathematics, South China University of Technology, Guangzhou, 510640, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, South China University of Technology, Guangzhou, 510640, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078743112","display_name":"Yanqin Bai","orcid":"https://orcid.org/0000-0002-6038-0805"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanqin Bai","raw_affiliation_strings":["Department of Mathematics, Shanghai University, Shanghai, 200444, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai University, Shanghai, 200444, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031811782","display_name":"Guoqiang Wang","orcid":"https://orcid.org/0000-0003-2979-3510"},"institutions":[{"id":"https://openalex.org/I141962983","display_name":"Shanghai University of Engineering Science","ror":"https://ror.org/0557b9y08","country_code":"CN","type":"education","lineage":["https://openalex.org/I141962983"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoqiang Wang","raw_affiliation_strings":["School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai, 201620, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai, 201620, China","institution_ids":["https://openalex.org/I141962983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5041617064"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.6617,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62969632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"86","issue":"2","first_page":"323","last_page":"353"},"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7869547605514526},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7168620824813843},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6723163723945618},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.574366569519043},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5288741588592529},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4888266921043396},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48548606038093567},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4298483729362488},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.428633451461792},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3541913628578186},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.169939786195755},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11913064122200012},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11275985836982727},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.0996103286743164}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7869547605514526},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7168620824813843},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6723163723945618},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.574366569519043},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5288741588592529},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4888266921043396},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48548606038093567},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4298483729362488},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.428633451461792},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3541913628578186},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.169939786195755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11913064122200012},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11275985836982727},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0996103286743164},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-022-01257-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-022-01257-6","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:86:y:2023:i:2:d:10.1007_s10898-022-01257-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-022-01257-6","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4509957121","display_name":null,"funder_award_id":"12101247","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G47851901","display_name":null,"funder_award_id":"11771275","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G833411550","display_name":null,"funder_award_id":"11971302","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8622930860","display_name":null,"funder_award_id":"11901382","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":41,"referenced_works":["https://openalex.org/W1675061566","https://openalex.org/W1943431218","https://openalex.org/W1965125844","https://openalex.org/W1976661283","https://openalex.org/W1976709621","https://openalex.org/W1980454827","https://openalex.org/W1986931325","https://openalex.org/W1987083649","https://openalex.org/W2020390700","https://openalex.org/W2028781966","https://openalex.org/W2031906930","https://openalex.org/W2037843111","https://openalex.org/W2037964547","https://openalex.org/W2056201402","https://openalex.org/W2074682976","https://openalex.org/W2089106993","https://openalex.org/W2095978736","https://openalex.org/W2100556411","https://openalex.org/W2101432546","https://openalex.org/W2107861471","https://openalex.org/W2115706991","https://openalex.org/W2119883478","https://openalex.org/W2127271355","https://openalex.org/W2129812935","https://openalex.org/W2135046866","https://openalex.org/W2145096794","https://openalex.org/W2146842127","https://openalex.org/W2151693816","https://openalex.org/W2154881938","https://openalex.org/W2163165192","https://openalex.org/W2166087152","https://openalex.org/W2167732364","https://openalex.org/W2221775387","https://openalex.org/W2611328865","https://openalex.org/W2904642251","https://openalex.org/W2963118312","https://openalex.org/W2963322354","https://openalex.org/W2963689635","https://openalex.org/W2977234408","https://openalex.org/W3098306969","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W2953058328","https://openalex.org/W1542224353","https://openalex.org/W1661087619","https://openalex.org/W2750730210","https://openalex.org/W2116854923","https://openalex.org/W2236974868","https://openalex.org/W4312766348","https://openalex.org/W2730764323","https://openalex.org/W4233939244","https://openalex.org/W3172664294"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}