{"id":"https://openalex.org/W3171938224","doi":"https://doi.org/10.1109/tpami.2021.3087160","title":"$\\ell _{1}$-Norm Quantile Regression Screening Rule via the Dual Circumscribed Sphere","display_name":"$\\ell _{1}$-Norm Quantile Regression Screening Rule via the Dual Circumscribed Sphere","publication_year":2021,"publication_date":"2021-06-09","ids":{"openalex":"https://openalex.org/W3171938224","doi":"https://doi.org/10.1109/tpami.2021.3087160","mag":"3171938224","pmid":"https://pubmed.ncbi.nlm.nih.gov/34101582"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2021.3087160","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2021.3087160","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5018776844","display_name":"Pan Shang","orcid":"https://orcid.org/0000-0002-8586-5358"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pan Shang","raw_affiliation_strings":["Department of Applied Mathematics, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086618694","display_name":"Lingchen Kong","orcid":"https://orcid.org/0000-0002-3166-2811"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lingchen Kong","raw_affiliation_strings":["Department of Applied Mathematics, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018776844"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":null,"apc_paid":null,"fwci":0.696,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.72145552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"44","issue":"10","first_page":"6254","last_page":"6263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9983000159263611,"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":0.9983000159263611,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantile-regression","display_name":"Quantile regression","score":0.7044278383255005},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.6380672454833984},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.6055309772491455},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.5849587321281433},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5702831745147705},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5313485264778137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49129098653793335},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4711267650127411},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.43165600299835205},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42018458247184753},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36295202374458313},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36273592710494995},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3232012987136841},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1883540153503418},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1710112988948822},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1329243779182434}],"concepts":[{"id":"https://openalex.org/C63817138","wikidata":"https://www.wikidata.org/wiki/Q3455889","display_name":"Quantile regression","level":2,"score":0.7044278383255005},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.6380672454833984},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6055309772491455},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.5849587321281433},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5702831745147705},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5313485264778137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49129098653793335},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4711267650127411},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.43165600299835205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42018458247184753},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36295202374458313},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36273592710494995},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3232012987136841},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1883540153503418},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1710112988948822},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1329243779182434},{"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":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/tpami.2021.3087160","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2021.3087160","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","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 Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:34101582","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34101582","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G297500294","display_name":null,"funder_award_id":"Z190002","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G7686303563","display_name":null,"funder_award_id":"12071022","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/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1498372169","https://openalex.org/W1510659740","https://openalex.org/W1543911290","https://openalex.org/W1727290854","https://openalex.org/W1994566659","https://openalex.org/W1995190797","https://openalex.org/W1997547860","https://openalex.org/W2004262208","https://openalex.org/W2032938012","https://openalex.org/W2035684306","https://openalex.org/W2043478128","https://openalex.org/W2056145308","https://openalex.org/W2065742895","https://openalex.org/W2081423717","https://openalex.org/W2087684630","https://openalex.org/W2088851040","https://openalex.org/W2120875981","https://openalex.org/W2131060185","https://openalex.org/W2136627475","https://openalex.org/W2147246240","https://openalex.org/W2154560360","https://openalex.org/W2172024582","https://openalex.org/W2232588526","https://openalex.org/W2330541013","https://openalex.org/W2338469198","https://openalex.org/W2390398866","https://openalex.org/W2726134516","https://openalex.org/W2763081248","https://openalex.org/W2769066024","https://openalex.org/W2770291950","https://openalex.org/W2903043001","https://openalex.org/W2997740894","https://openalex.org/W3041996426","https://openalex.org/W3101498811","https://openalex.org/W3103100819","https://openalex.org/W3105543546","https://openalex.org/W3125188740","https://openalex.org/W3145947628","https://openalex.org/W4241653265","https://openalex.org/W4249667877","https://openalex.org/W4293581666","https://openalex.org/W6632713273","https://openalex.org/W6672488994","https://openalex.org/W6674848032","https://openalex.org/W6702455913","https://openalex.org/W6730222102"],"related_works":["https://openalex.org/W2161800642","https://openalex.org/W2328874041","https://openalex.org/W1510937429","https://openalex.org/W3135387607","https://openalex.org/W4281649981","https://openalex.org/W3138672492","https://openalex.org/W3101101082","https://openalex.org/W3124352863","https://openalex.org/W4361198898","https://openalex.org/W1571591180"],"abstract_inverted_index":{"l<sub>1</sub>-norm":[0,52,79],"quantile":[1,53,62,80],"regression":[2,81],"is":[3,20,33,86],"a":[4,77,100],"common":[5],"choice":[6],"if":[7],"there":[8],"exists":[9],"outlier":[10],"or":[11],"heavy-tailed":[12],"error":[13],"in":[14],"high-dimensional":[15],"data":[16,32,94,111],"sets.":[17],"However,":[18],"it":[19],"computationally":[21],"expensive":[22],"to":[23,57,121,132,135],"solve":[24],"this":[25,66,115,128],"problem":[26],"when":[27],"the":[28,48,51,58,61,70,89,143],"feature":[29],"size":[30],"of":[31,50,60,92,138],"ultra":[34],"high.":[35],"As":[36],"far":[37],"as":[38,88],"we":[39,68],"know,":[40],"existing":[41],"screening":[42,82,116,147],"rules":[43],"can":[44,118,130],"not":[45],"speed":[46],"up":[47,134],"computation":[49,144],"regression,":[54],"which":[55],"dues":[56],"non-differentiability":[59],"function/pinball":[63],"loss.":[64],"In":[65],"paper,":[67],"introduce":[69],"dual":[71],"circumscribed":[72],"sphere":[73],"technique":[74],"and":[75,95,109],"propose":[76],"novel":[78],"rule.":[83,148],"Our":[84],"rule":[85,117,129],"expressed":[87],"closed-form":[90],"function":[91],"given":[93],"eliminates":[96],"inactive":[97,125],"features":[98],"with":[99,142],"low":[101],"computational":[102,139],"cost.":[103],"Numerical":[104],"experiments":[105],"on":[106],"some":[107],"simulation":[108],"real":[110],"sets":[112],"show":[113],"that":[114],"be":[119],"used":[120],"eliminate":[122],"almost":[123],"all":[124],"features.":[126],"Moreover,":[127],"help":[131],"reduce":[133],"23":[136],"times":[137],"time,":[140],"compared":[141],"without":[145],"our":[146]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-06-22T00:00:00"}