{"id":"https://openalex.org/W2587436146","doi":"https://doi.org/10.1007/s10107-017-1114-y","title":"Folded concave penalized sparse linear regression: sparsity, statistical performance, and algorithmic theory for local solutions","display_name":"Folded concave penalized sparse linear regression: sparsity, statistical performance, and algorithmic theory for local solutions","publication_year":2017,"publication_date":"2017-02-10","ids":{"openalex":"https://openalex.org/W2587436146","doi":"https://doi.org/10.1007/s10107-017-1114-y","mag":"2587436146","pmid":"https://pubmed.ncbi.nlm.nih.gov/29225375"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-017-1114-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-017-1114-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5720392","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100778698","display_name":"Hongcheng Liu","orcid":"https://orcid.org/0000-0003-2451-5204"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongcheng Liu","raw_affiliation_strings":["Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park PA 16802, USA","Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park, PA, 16802, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park PA 16802, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101512133","display_name":"Tao Yao","orcid":"https://orcid.org/0000-0002-2124-5678"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tao Yao","raw_affiliation_strings":["Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park PA 16802, USA","Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park, PA, 16802, USA"],"raw_orcid":"https://orcid.org/0000-0002-2124-5678","affiliations":[{"raw_affiliation_string":"Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park PA 16802, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100721408","display_name":"Runze Li","orcid":"https://orcid.org/0000-0002-0154-2202"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Runze Li","raw_affiliation_strings":["Department of Statistics and the Methodology Center, The Pennsylvania State University, University Park PA 16802, USA","Department of Statistics and the Methodology Center, The Pennsylvania State University, University Park, PA, 16802, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and the Methodology Center, The Pennsylvania State University, University Park PA 16802, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Department of Statistics and the Methodology Center, The Pennsylvania State University, University Park, PA, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041526408","display_name":"Yinyu Ye","orcid":"https://orcid.org/0009-0001-3239-2622"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yinyu Ye","raw_affiliation_strings":["Department of Management Science and Engineering, Stanford University, Stanford, CA 94305, USA","Department of Management Science and Engineering, Stanford University, Stanford, CA, 94305, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Science and Engineering, Stanford University, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Department of Management Science and Engineering, Stanford University, Stanford, CA, 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100721408"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":4.8157,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.95846427,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"166","issue":"1-2","first_page":"207","last_page":"240"},"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/T10136","display_name":"Statistical Methods and Inference","score":0.9955000281333923,"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/T11236","display_name":"Control Systems and Identification","score":0.9758999943733215,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/mathematics","display_name":"Mathematics","score":0.6637683510780334},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6381235718727112},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.6203460693359375},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6083806753158569},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5390206575393677},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4803706109523773},{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.4646574556827545},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.44960880279541016},{"id":"https://openalex.org/keywords/lasso","display_name":"Lasso (programming language)","score":0.44663119316101074},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4448421895503998},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3481636643409729},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3288126587867737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30315107107162476},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09272432327270508}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6637683510780334},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6381235718727112},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.6203460693359375},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6083806753158569},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5390206575393677},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4803706109523773},{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.4646574556827545},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.44960880279541016},{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.44663119316101074},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4448421895503998},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3481636643409729},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3288126587867737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30315107107162476},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09272432327270508},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"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":4,"locations":[{"id":"doi:10.1007/s10107-017-1114-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-017-1114-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmid:29225375","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29225375","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":"Mathematical programming","raw_type":null},{"id":"pmh:oai:europepmc.org:5155392","is_oa":false,"landing_page_url":"http://europepmc.org/pmc/articles/PMC5720392","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:5720392","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5720392","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Math Program","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:5720392","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5720392","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Math Program","raw_type":"Text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6800000071525574}],"awards":[{"id":"https://openalex.org/G2288015286","display_name":null,"funder_award_id":"P50 DA036107","funder_id":"https://openalex.org/F4320337347","funder_display_name":"National Institute on Drug Abuse"},{"id":"https://openalex.org/G2492347098","display_name":null,"funder_award_id":"P50DA039838","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G3182115767","display_name":null,"funder_award_id":"P50 DA039838","funder_id":"https://openalex.org/F4320337347","funder_display_name":"National Institute on Drug Abuse"},{"id":"https://openalex.org/G484153114","display_name":null,"funder_award_id":"P50 DA036107","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G5892411964","display_name":null,"funder_award_id":"11690015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G693701028","display_name":null,"funder_award_id":"DMS 1512422","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8635177099","display_name":null,"funder_award_id":"11690014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8905016522","display_name":null,"funder_award_id":"CMMI 1300638","funder_id":"https://openalex.org/F4320332170","funder_display_name":"Directorate for Engineering"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320332170","display_name":"Directorate for Engineering","ror":"https://ror.org/00b6sbb32"},{"id":"https://openalex.org/F4320337347","display_name":"National Institute on Drug Abuse","ror":"https://ror.org/00fq5cm18"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1524589413","https://openalex.org/W1789703605","https://openalex.org/W1965125844","https://openalex.org/W1973397215","https://openalex.org/W2009941369","https://openalex.org/W2018556306","https://openalex.org/W2018672358","https://openalex.org/W2023982864","https://openalex.org/W2035858261","https://openalex.org/W2040296279","https://openalex.org/W2052044664","https://openalex.org/W2054434031","https://openalex.org/W2061598070","https://openalex.org/W2063549526","https://openalex.org/W2063676335","https://openalex.org/W2066986830","https://openalex.org/W2074682976","https://openalex.org/W2085651279","https://openalex.org/W2092058109","https://openalex.org/W2094644779","https://openalex.org/W2098539141","https://openalex.org/W2116581043","https://openalex.org/W2125151258","https://openalex.org/W2129131372","https://openalex.org/W2129554161","https://openalex.org/W2133593515","https://openalex.org/W2133676097","https://openalex.org/W2135046866","https://openalex.org/W2146782960","https://openalex.org/W2146944586","https://openalex.org/W2155628440","https://openalex.org/W2156005216","https://openalex.org/W2159700154","https://openalex.org/W2162312215","https://openalex.org/W2298875433","https://openalex.org/W2587436146","https://openalex.org/W2616050959","https://openalex.org/W2950190315","https://openalex.org/W2952077113","https://openalex.org/W2952981522","https://openalex.org/W3098306969","https://openalex.org/W3099718522","https://openalex.org/W3099897794","https://openalex.org/W3100058837","https://openalex.org/W3100363164","https://openalex.org/W3100937728","https://openalex.org/W3101201932","https://openalex.org/W3101767848","https://openalex.org/W3103820806","https://openalex.org/W3103870504","https://openalex.org/W3104436556","https://openalex.org/W3105034597"],"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/W2802398440","https://openalex.org/W2085074295","https://openalex.org/W2560333314","https://openalex.org/W4236808165","https://openalex.org/W1998049115"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":4}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}