{"id":"https://openalex.org/W2106710875","doi":"https://doi.org/10.48550/arxiv.0812.3201","title":"Ultrahigh dimensional variable selection: beyond the linear model","display_name":"Ultrahigh dimensional variable selection: beyond the linear model","publication_year":2008,"publication_date":"2008-12-17","ids":{"openalex":"https://openalex.org/W2106710875","doi":"https://doi.org/10.48550/arxiv.0812.3201","mag":"2106710875"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:0812.3201","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0812.3201","pdf_url":"https://arxiv.org/pdf/0812.3201","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0812.3201","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100664286","display_name":"Jianqing Fan","orcid":"https://orcid.org/0000-0003-3250-7677","observed_orcids":["https://orcid.org/0000-0003-3250-7677"]},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fan, Jianqing","raw_affiliation_strings":["Clemson University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Clemson University","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Samworth, Richard","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Samworth, Richard","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5063897584","display_name":"Yichao Wu","orcid":"https://orcid.org/0000-0001-8660-8452","observed_orcids":["https://orcid.org/0000-0001-8660-8452"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wu, Yichao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100664286"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":1.0,"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":1.0,"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/T13141","display_name":"Statistical Methods and Applications","score":0.0,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.0,"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/feature-selection","display_name":"feature selection","score":0.7680000066757202},{"id":"https://openalex.org/keywords/high-dimensional-data","display_name":"high-dimensional data","score":0.9240000247955322},{"id":"https://openalex.org/keywords/sure-independence-screening","display_name":"sure independence screening","score":0.8659999966621399},{"id":"https://openalex.org/keywords/pseudolikelihood","display_name":"pseudo-likelihood","score":0.8029999732971191},{"id":"https://openalex.org/keywords/generalized-linear-models","display_name":"generalized linear models","score":0.996999979019165},{"id":"https://openalex.org/keywords/high-dimensional-data-classification","display_name":"high-dimensional classification","score":0.8980000019073486},{"id":"https://openalex.org/keywords/two-sample-t-test","display_name":"two-sample t-test","score":0.8140000104904175},{"id":"https://openalex.org/keywords/false-discovery-rate","display_name":"false discovery rate","score":0.925000011920929},{"id":"https://openalex.org/keywords/feature-screening","display_name":"feature screening","score":0.5910000205039978},{"id":"https://openalex.org/keywords/variable-deletion","display_name":"variable deletion","score":0.5730000138282776}],"concepts":[{"id":"https://openalex.org/C148483581","wikidata":"https://www.wikidata.org/wiki/Q446488","display_name":"Feature selection","level":2,"score":0.7837991118431091},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6538922190666199},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6293809413909912},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5272936820983887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4938502907752991},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.48548534512519836},{"id":"https://openalex.org/C193244246","wikidata":"https://www.wikidata.org/wiki/Q5432696","display_name":"False discovery rate","level":3,"score":0.4816666841506958},{"id":"https://openalex.org/C41587187","wikidata":"https://www.wikidata.org/wiki/Q1501882","display_name":"Generalized linear model","level":2,"score":0.47604918479919434},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.44032612442970276},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.43652093410491943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.433878630399704},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42676061391830444},{"id":"https://openalex.org/C93959086","wikidata":"https://www.wikidata.org/wiki/Q6888345","display_name":"Model selection","level":2,"score":0.4108954668045044},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.361674040555954},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32885730266571045},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.30762505531311035},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2246178686618805},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:0812.3201","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0812.3201","pdf_url":"https://arxiv.org/pdf/0812.3201","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.0812.3201","doi":"https://doi.org/10.48550/arxiv.0812.3201","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.0812.3201","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0812.3201","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0812.3201","pdf_url":"https://arxiv.org/pdf/0812.3201","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/16","score":0.8299999833106995,"display_name":"Peace, justice, and strong institutions"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1480376833","https://openalex.org/W1528905581","https://openalex.org/W1554944419","https://openalex.org/W1727290854","https://openalex.org/W1955426073","https://openalex.org/W1965138864","https://openalex.org/W1966626540","https://openalex.org/W1972163814","https://openalex.org/W1988790447","https://openalex.org/W1997840761","https://openalex.org/W2006079335","https://openalex.org/W2014360396","https://openalex.org/W2019176983","https://openalex.org/W2020925091","https://openalex.org/W2063978378","https://openalex.org/W2074682976","https://openalex.org/W2087892140","https://openalex.org/W2101095383","https://openalex.org/W2106713259","https://openalex.org/W2108588028","https://openalex.org/W2116444583","https://openalex.org/W2116581043","https://openalex.org/W2120954952","https://openalex.org/W2135046866","https://openalex.org/W2142635246","https://openalex.org/W2146855196","https://openalex.org/W2150940164","https://openalex.org/W2154560360","https://openalex.org/W2349872244","https://openalex.org/W3098699758","https://openalex.org/W3098834468","https://openalex.org/W3100041486","https://openalex.org/W3104781182","https://openalex.org/W3105034597"],"related_works":["https://openalex.org/W3081465059","https://openalex.org/W1510072949","https://openalex.org/W1969243170","https://openalex.org/W4242077822","https://openalex.org/W4386783521","https://openalex.org/W1556631438","https://openalex.org/W2081875724","https://openalex.org/W2550180129","https://openalex.org/W2900631639","https://openalex.org/W1980211030"],"abstract_inverted_index":{"Variable":[0],"selection":[1,33],"in":[2,9,38,121,134,146,167],"high-dimensional":[3,39,147],"space":[4],"characterizes":[5],"many":[6],"contemporary":[7],"problems":[8],"scientific":[10],"discovery":[11,165],"and":[12,28,53,70,174],"decision":[13],"making.":[14],"Many":[15],"frequently-used":[16],"techniques":[17],"are":[18,85,179],"based":[19],"on":[20],"independence":[21,64],"screening;":[22],"examples":[23,178],"include":[24],"correlation":[25,59],"ranking":[26,60],"(Fan":[27],"Lv,":[29],"2008)":[30],"or":[31],"feature":[32,169],"using":[34],"a":[35,62,107,117],"two-sample":[36,153],"t-test":[37],"classification":[40,148],"(Tibshirani":[41],"et":[42],"al.,":[43],"2003).":[44],"Within":[45],"the":[46,49,83,92,122,125,135,150,163,168,183],"context":[47],"of":[48,104],"linear":[50,114],"model,":[51],"Fan":[52],"Lv":[54],"(2008)showed":[55],"that":[56,71],"this":[57,96],"simple":[58],"possesses":[61],"sure":[63,76],"screening":[65,78,170],"property":[66],"under":[67],"certain":[68],"conditions":[69],"its":[72],"revision,":[73],"called":[74],"iteratively":[75],"independent":[77],"(ISIS),":[79],"is":[80,159],"needed":[81],"when":[82],"features":[84,145],"marginally":[86],"unrelated":[87],"but":[88],"jointly":[89],"related":[90],"to":[91,106,142,161,181],"response":[93],"variable.":[94],"In":[95],"paper,":[97],"we":[98],"extend":[99],"ISIS,":[100],"without":[101],"explicit":[102],"definition":[103],"residuals,":[105],"general":[108],"pseudo-likelihood":[109],"framework,":[110],"which":[111],"includes":[112],"generalized":[113],"models":[115],"as":[116],"special":[118],"case.":[119],"Even":[120],"least-squares":[123],"setting,":[124],"new":[126,157],"method":[127],"improves":[128],"ISIS":[129],"by":[130],"allowing":[131],"variable":[132],"deletion":[133],"iterative":[136],"process.":[137],"Our":[138],"technique":[139,158],"allows":[140],"us":[141],"select":[143],"important":[144],"where":[149],"popularly":[151],"used":[152],"t-method":[154],"fails.":[155],"A":[156],"introduced":[160],"reduce":[162],"false":[164],"rate":[166],"stage.":[171],"Several":[172],"simulated":[173],"two":[175],"real":[176],"data":[177],"presented":[180],"illustrate":[182],"methodology.":[184]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
