{"id":"https://openalex.org/W2955071064","doi":"https://doi.org/10.1080/03610918.2019.1630433","title":"Penalized I-spline monotone regression estimation","display_name":"Penalized I-spline monotone regression estimation","publication_year":2019,"publication_date":"2019-06-27","ids":{"openalex":"https://openalex.org/W2955071064","doi":"https://doi.org/10.1080/03610918.2019.1630433","mag":"2955071064"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2019.1630433","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2019.1630433","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/A5027070101","display_name":"Junsouk Choi","orcid":"https://orcid.org/0009-0009-9822-4144"},"institutions":[{"id":"https://openalex.org/I1317225278","display_name":"Statistics Korea","ror":"https://ror.org/004g7jm05","country_code":"KR","type":"government","lineage":["https://openalex.org/I1317225278","https://openalex.org/I2801339556","https://openalex.org/I4210126005"]},{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Junsouk Choi","raw_affiliation_strings":["Department of Statistics, Korea University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Korea University, Seoul, South Korea","institution_ids":["https://openalex.org/I1317225278","https://openalex.org/I197347611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021039497","display_name":"JungJun Lee","orcid":"https://orcid.org/0000-0002-1593-9470"},"institutions":[{"id":"https://openalex.org/I1317225278","display_name":"Statistics Korea","ror":"https://ror.org/004g7jm05","country_code":"KR","type":"government","lineage":["https://openalex.org/I1317225278","https://openalex.org/I2801339556","https://openalex.org/I4210126005"]},{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"JungJun Lee","raw_affiliation_strings":["Department of Statistics, Korea University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Korea University, Seoul, South Korea","institution_ids":["https://openalex.org/I1317225278","https://openalex.org/I197347611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082367319","display_name":"Jae\u2010Hwan Jhong","orcid":"https://orcid.org/0000-0003-2266-4986"},"institutions":[{"id":"https://openalex.org/I1317225278","display_name":"Statistics Korea","ror":"https://ror.org/004g7jm05","country_code":"KR","type":"government","lineage":["https://openalex.org/I1317225278","https://openalex.org/I2801339556","https://openalex.org/I4210126005"]},{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jae-Hwan Jhong","raw_affiliation_strings":["Department of Statistics, Korea University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Korea University, Seoul, South Korea","institution_ids":["https://openalex.org/I1317225278","https://openalex.org/I197347611"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103221995","display_name":"Ja\u2010Yong Koo","orcid":"https://orcid.org/0000-0002-1035-6102"},"institutions":[{"id":"https://openalex.org/I1317225278","display_name":"Statistics Korea","ror":"https://ror.org/004g7jm05","country_code":"KR","type":"government","lineage":["https://openalex.org/I1317225278","https://openalex.org/I2801339556","https://openalex.org/I4210126005"]},{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Ja-Yong Koo","raw_affiliation_strings":["Department of Statistics, Korea University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Korea University, Seoul, South Korea","institution_ids":["https://openalex.org/I1317225278","https://openalex.org/I197347611"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103221995"],"corresponding_institution_ids":["https://openalex.org/I1317225278","https://openalex.org/I197347611"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09268061,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"50","issue":"11","first_page":"3714","last_page":"3732"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9972000122070312,"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":0.9972000122070312,"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":0.9966999888420105,"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":0.9781000018119812,"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/estimator","display_name":"Estimator","score":0.7396612167358398},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.682163417339325},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6783225536346436},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6609481573104858},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.54939866065979},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48978161811828613},{"id":"https://openalex.org/keywords/knot","display_name":"Knot (papermaking)","score":0.45894351601600647},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39527642726898193},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37776708602905273},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2581252455711365}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7396612167358398},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.682163417339325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6783225536346436},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6609481573104858},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.54939866065979},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48978161811828613},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.45894351601600647},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39527642726898193},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37776708602905273},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2581252455711365},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2019.1630433","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2019.1630433","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":0.47999998927116394,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2830763689","display_name":null,"funder_award_id":"NRF-2015R1D1A1A01057747","funder_id":"https://openalex.org/F4320322349","funder_display_name":"Ministry of Education, Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322349","display_name":"Ministry of Education, Science and Technology","ror":"https://ror.org/01p262204"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1536484404","https://openalex.org/W1979378106","https://openalex.org/W1979713464","https://openalex.org/W1982100132","https://openalex.org/W1984568490","https://openalex.org/W1990420052","https://openalex.org/W1997750495","https://openalex.org/W1998128748","https://openalex.org/W2007505510","https://openalex.org/W2019952681","https://openalex.org/W2031366893","https://openalex.org/W2032464716","https://openalex.org/W2034818769","https://openalex.org/W2038290750","https://openalex.org/W2038535763","https://openalex.org/W2056636001","https://openalex.org/W2072081687","https://openalex.org/W2082990111","https://openalex.org/W2113714046","https://openalex.org/W2127441697","https://openalex.org/W2127973942","https://openalex.org/W2140514146","https://openalex.org/W2167834874","https://openalex.org/W2562607993","https://openalex.org/W2608724236","https://openalex.org/W3098745759","https://openalex.org/W3103695676","https://openalex.org/W4231139742","https://openalex.org/W4238237534","https://openalex.org/W4249667877","https://openalex.org/W4291236916","https://openalex.org/W4301204636"],"related_works":["https://openalex.org/W1489292980","https://openalex.org/W2951610245","https://openalex.org/W2795079910","https://openalex.org/W1430963189","https://openalex.org/W1974262772","https://openalex.org/W2049901819","https://openalex.org/W3037410748","https://openalex.org/W2052430123","https://openalex.org/W1983437306","https://openalex.org/W4387778523"],"abstract_inverted_index":{"We":[0,97],"propose":[1],"a":[2,43],"penalized":[3],"regression":[4],"spline":[5,73],"estimator":[6,119],"for":[7,54],"monotone":[8,71],"regression.":[9],"To":[10],"construct":[11],"the":[12,16,19,28,32,38,55,58,66,76,83,93,100,104,117],"estimator,":[13],"we":[14],"adopt":[15],"I-splines":[17,24],"with":[18],"total":[20,39],"variation":[21,40],"penalty.":[22],"The":[23,79],"lend":[25],"themselves":[26],"to":[27,75,107],"monotonicity":[29],"because":[30],"of":[31,35,60,82,103,124],"simpler":[33],"form":[34],"restrictions,":[36],"and":[37],"penalty":[41],"induces":[42],"data-driven":[44,94],"knot":[45,95],"selection":[46],"scheme.":[47],"A":[48],"coordinate":[49],"descent":[50],"algorithm":[51,67,84],"is":[52],"developed":[53],"estimator.":[56],"If":[57],"number":[59],"complexity":[61,105,109],"parameter":[62,106,110],"candidates":[63],"sufficiently":[64],"increases,":[65],"considers":[68],"all":[69],"possible":[70],"linear":[72],"fits":[74],"given":[77],"data.":[78],"pruning":[80],"process":[81],"not":[85],"only":[86],"provides":[87],"numerical":[88,113],"stability,":[89],"but":[90],"also":[91,98],"implements":[92],"selection.":[96,111],"compute":[99],"maximum":[101],"candidate":[102],"facilitate":[108],"Extensive":[112],"studies":[114],"show":[115],"that":[116],"proposed":[118],"captures":[120],"spatially":[121],"inhomogeneous":[122],"behaviors":[123],"data,":[125],"such":[126],"as":[127],"sudden":[128],"jumps.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}