{"id":"https://openalex.org/W2565517339","doi":"https://doi.org/10.1080/03610918.2015.1129409","title":"A lower bound based smoothed quasi-Newton algorithm for group bridge penalized regression","display_name":"A lower bound based smoothed quasi-Newton algorithm for group bridge penalized regression","publication_year":2016,"publication_date":"2016-01-13","ids":{"openalex":"https://openalex.org/W2565517339","doi":"https://doi.org/10.1080/03610918.2015.1129409","mag":"2565517339"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2015.1129409","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1129409","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","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/A5012979050","display_name":"Yongxiu Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I158934434","display_name":"Zhongnan University of Economics and Law","ror":"https://ror.org/04yqxxq63","country_code":"CN","type":"education","lineage":["https://openalex.org/I158934434"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongxiu Cao","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Hubei, China","School of Statistics and Mathematics, Zhongnan University of Economics and Law, Hubei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Hubei, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Statistics and Mathematics, Zhongnan University of Economics and Law, Hubei, China","institution_ids":["https://openalex.org/I158934434"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012067697","display_name":"Jian Huang","orcid":"https://orcid.org/0000-0002-5218-9269"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]},{"id":"https://openalex.org/I181679659","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I181679659"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Jian Huang","raw_affiliation_strings":["Department of Statistics and Actuarial Science, University of Iowa, IA, USA","School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Actuarial Science, University of Iowa, IA, USA","institution_ids":["https://openalex.org/I126307644"]},{"raw_affiliation_string":"School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, China","institution_ids":["https://openalex.org/I181679659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080185313","display_name":"Yuling Jiao","orcid":"https://orcid.org/0000-0003-2762-0421"},"institutions":[{"id":"https://openalex.org/I158934434","display_name":"Zhongnan University of Economics and Law","ror":"https://ror.org/04yqxxq63","country_code":"CN","type":"education","lineage":["https://openalex.org/I158934434"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuling Jiao","raw_affiliation_strings":["School of Statistics and Mathematics, Zhongnan University of Economics and Law, Hubei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Zhongnan University of Economics and Law, Hubei, China","institution_ids":["https://openalex.org/I158934434"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100416810","display_name":"Yanyan Liu","orcid":"https://orcid.org/0000-0002-1405-7345"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanyan Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Hubei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Hubei, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100416810"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14837919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"46","issue":"6","first_page":"4694","last_page":"4707"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10136","display_name":"Statistical Methods and Inference","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.9902999997138977,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.8178658485412598},{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.6525249481201172},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6089844703674316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4964786171913147},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.49150264263153076},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4748977720737457},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4488605856895447},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.44508832693099976},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4421168267726898},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43212682008743286},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4110196828842163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.376886248588562},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10695478320121765},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07539182901382446}],"concepts":[{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.8178658485412598},{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.6525249481201172},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6089844703674316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4964786171913147},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.49150264263153076},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4748977720737457},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4488605856895447},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.44508832693099976},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4421168267726898},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43212682008743286},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4110196828842163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.376886248588562},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10695478320121765},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07539182901382446},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":1,"locations":[{"id":"doi:10.1080/03610918.2015.1129409","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1129409","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W613054787","https://openalex.org/W1506069954","https://openalex.org/W1973397215","https://openalex.org/W1983590837","https://openalex.org/W1994309289","https://openalex.org/W1995691260","https://openalex.org/W1997105121","https://openalex.org/W2006988935","https://openalex.org/W2012961725","https://openalex.org/W2020082788","https://openalex.org/W2020925091","https://openalex.org/W2025126004","https://openalex.org/W2042442229","https://openalex.org/W2050031210","https://openalex.org/W2054596996","https://openalex.org/W2063978378","https://openalex.org/W2074682976","https://openalex.org/W2079775628","https://openalex.org/W2086205459","https://openalex.org/W2102760656","https://openalex.org/W2106398669","https://openalex.org/W2119862467","https://openalex.org/W2120539875","https://openalex.org/W2131060185","https://openalex.org/W2138019504","https://openalex.org/W2169103656","https://openalex.org/W2315373884","https://openalex.org/W2321004378","https://openalex.org/W2328835146","https://openalex.org/W3029645440","https://openalex.org/W3105034597","https://openalex.org/W3105513009"],"related_works":["https://openalex.org/W2155858901","https://openalex.org/W2491194410","https://openalex.org/W4382519099","https://openalex.org/W1515727993","https://openalex.org/W2037179686","https://openalex.org/W2176947140","https://openalex.org/W2085074295","https://openalex.org/W4236808165","https://openalex.org/W2289207566","https://openalex.org/W2387058857"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,35,43,58],"lower":[6],"bound":[7],"based":[8,29,56,124],"smoothed":[9,36],"quasi-Newton":[10,32],"algorithm":[11,33,94,119],"for":[12,48,109],"computing":[13],"the":[14,18,31,49,63,86,89,96,117,121],"solution":[15],"paths":[16],"of":[17,62,88,98],"group":[19,37,64,110],"bridge":[20,38,65],"estimator":[21],"in":[22,40,103,126],"linear":[23],"regression":[24,50],"models.":[25],"Our":[26],"method":[27],"is":[28,54,69],"on":[30,57],"with":[34,42,80],"penalty":[39],"combination":[41],"novel":[44],"data-driven":[45],"thresholding":[46],"rule":[47,53],"coefficients.":[51,82],"This":[52],"derived":[55],"necessary":[59],"KKT":[60],"condition":[61,101],"optimization":[66,90],"problem.":[67,91],"It":[68],"easy":[70],"to":[71,77],"implement":[72],"and":[73,106,129],"can":[74],"be":[75],"used":[76],"eliminate":[78],"groups":[79],"zero":[81],"Thus,":[83],"it":[84],"reduces":[85],"dimension":[87],"The":[92],"proposed":[93,118],"removes":[95],"restriction":[97],"groupwise":[99],"orthogonal":[100],"needed":[102],"coordinate":[104,122],"descent":[105,123],"LARS":[107],"algorithms":[108,125],"variable":[111],"selection.":[112],"Numerical":[113],"results":[114],"show":[115],"that":[116],"outperforms":[120],"both":[127],"efficiency":[128],"accuracy.":[130]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
