{"id":"https://openalex.org/W2144587591","doi":"https://doi.org/10.1007/s10898-013-0034-5","title":"On proximal gradient method for the convex problems regularized with the group reproducing kernel norm","display_name":"On proximal gradient method for the convex problems regularized with the group reproducing kernel norm","publication_year":2013,"publication_date":"2013-01-21","ids":{"openalex":"https://openalex.org/W2144587591","doi":"https://doi.org/10.1007/s10898-013-0034-5","mag":"2144587591"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-013-0034-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-013-0034-5","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/A5100356596","display_name":"Haibin Zhang","orcid":"https://orcid.org/0009-0001-1142-9289"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haibin Zhang","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China"],"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102817974","display_name":"Juan Wei","orcid":"https://orcid.org/0000-0003-4958-9779"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Wei","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China"],"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101654358","display_name":"Meixia Li","orcid":"https://orcid.org/0000-0003-0737-1915"},"institutions":[{"id":"https://openalex.org/I66883779","display_name":"Weifang University","ror":"https://ror.org/01frp7483","country_code":"CN","type":"education","lineage":["https://openalex.org/I66883779"]},{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meixia Li","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China","School of Mathematics and Information Science, Weifang University, Weifang, 261061, Shandong, China"],"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Weifang University, Weifang, 261061, Shandong, China","institution_ids":["https://openalex.org/I66883779"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102025246","display_name":"Jie Zhou","orcid":"https://orcid.org/0000-0001-9549-387X"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Zhou","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China"],"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048562330","display_name":"Miantao Chao","orcid":"https://orcid.org/0000-0003-4763-9533"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Miantao Chao","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China"],"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100356596"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.4599,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64759212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"58","issue":"1","first_page":"169","last_page":"188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.865097165107727},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.7955828905105591},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6001702547073364},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5769631266593933},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5699653029441833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.524029552936554},{"id":"https://openalex.org/keywords/proximal-gradient-methods-for-learning","display_name":"Proximal gradient methods for learning","score":0.5135645866394043},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49027398228645325},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48264914751052856},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4735873341560364},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.46642619371414185},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43967780470848083},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.4340227246284485},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4280678629875183},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24128609895706177}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.865097165107727},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.7955828905105591},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6001702547073364},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5769631266593933},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5699653029441833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.524029552936554},{"id":"https://openalex.org/C79248915","wikidata":"https://www.wikidata.org/wiki/Q17086776","display_name":"Proximal gradient methods for learning","level":5,"score":0.5135645866394043},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49027398228645325},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48264914751052856},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4735873341560364},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.46642619371414185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43967780470848083},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.4340227246284485},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4280678629875183},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24128609895706177},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-013-0034-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-013-0034-5","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:58:y:2014:i:1:p:169-188","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-013-0034-5","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W3219084","https://openalex.org/W84046028","https://openalex.org/W179182636","https://openalex.org/W1931583310","https://openalex.org/W1946620893","https://openalex.org/W1984915212","https://openalex.org/W1993528080","https://openalex.org/W2006262045","https://openalex.org/W2020925091","https://openalex.org/W2039050532","https://openalex.org/W2051795273","https://openalex.org/W2058532290","https://openalex.org/W2074682976","https://openalex.org/W2077177249","https://openalex.org/W2090084467","https://openalex.org/W2098132613","https://openalex.org/W2101868363","https://openalex.org/W2106398669","https://openalex.org/W2108198948","https://openalex.org/W2113328646","https://openalex.org/W2122825543","https://openalex.org/W2124541940","https://openalex.org/W2126607811","https://openalex.org/W2135046866","https://openalex.org/W2138019504","https://openalex.org/W2141760723","https://openalex.org/W2143476164","https://openalex.org/W2156005216","https://openalex.org/W4206097460","https://openalex.org/W4249513058","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2007576447","https://openalex.org/W2026600343","https://openalex.org/W2356261519","https://openalex.org/W4382519084","https://openalex.org/W1978014154","https://openalex.org/W4361807553","https://openalex.org/W165488893","https://openalex.org/W2040676043","https://openalex.org/W1510770274","https://openalex.org/W2185500298"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}