{"id":"https://openalex.org/W2042543554","doi":"https://doi.org/10.1109/tsp.2015.2411220","title":"Multiple Change-Points Estimation in Linear Regression Models via Sparse Group Lasso","display_name":"Multiple Change-Points Estimation in Linear Regression Models via Sparse Group Lasso","publication_year":2015,"publication_date":"2015-03-06","ids":{"openalex":"https://openalex.org/W2042543554","doi":"https://doi.org/10.1109/tsp.2015.2411220","mag":"2042543554"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2015.2411220","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2411220","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Signal Processing","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/A5048037947","display_name":"Bingwen Zhang","orcid":"https://orcid.org/0000-0002-1655-2083"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bingwen Zhang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA","Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, Worcester,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA","institution_ids":["https://openalex.org/I107077323"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, Worcester,","institution_ids":["https://openalex.org/I107077323"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100735722","display_name":"Jun Geng","orcid":"https://orcid.org/0000-0002-0024-9848"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jun Geng","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA","Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, Worcester,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA","institution_ids":["https://openalex.org/I107077323"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, Worcester,","institution_ids":["https://openalex.org/I107077323"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081715462","display_name":"Lifeng Lai","orcid":"https://orcid.org/0000-0002-9493-8248"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lifeng Lai","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA","Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, Worcester,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, Worcester, MA","institution_ids":["https://openalex.org/I107077323"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Worcester Polytechnic Institute, Worcester,","institution_ids":["https://openalex.org/I107077323"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I107077323"],"apc_list":null,"apc_paid":null,"fwci":6.1316,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.96634027,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"63","issue":"9","first_page":"2209","last_page":"2224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9993000030517578,"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":0.9993000030517578,"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/T10845","display_name":"Advanced Causal Inference Techniques","score":0.9722999930381775,"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/T10308","display_name":"Systemic Lupus Erythematosus Research","score":0.9348000288009644,"subfield":{"id":"https://openalex.org/subfields/2745","display_name":"Rheumatology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7283414602279663},{"id":"https://openalex.org/keywords/lasso","display_name":"Lasso (programming language)","score":0.7077928185462952},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.5759295225143433},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.5430518984794617},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5352585315704346},{"id":"https://openalex.org/keywords/linear-model","display_name":"Linear model","score":0.5258474946022034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5166473984718323},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49383124709129333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44947925209999084},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42297104001045227},{"id":"https://openalex.org/keywords/change-detection","display_name":"Change detection","score":0.42033979296684265},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.4195627272129059},{"id":"https://openalex.org/keywords/proper-linear-model","display_name":"Proper linear model","score":0.4149007201194763},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3261645436286926},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30224910378456116},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23811686038970947},{"id":"https://openalex.org/keywords/polynomial-regression","display_name":"Polynomial regression","score":0.17586567997932434}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7283414602279663},{"id":"https://openalex.org/C37616216","wikidata":"https://www.wikidata.org/wiki/Q3218363","display_name":"Lasso (programming language)","level":2,"score":0.7077928185462952},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.5759295225143433},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.5430518984794617},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5352585315704346},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.5258474946022034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5166473984718323},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49383124709129333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44947925209999084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42297104001045227},{"id":"https://openalex.org/C203595873","wikidata":"https://www.wikidata.org/wiki/Q25389927","display_name":"Change detection","level":2,"score":0.42033979296684265},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.4195627272129059},{"id":"https://openalex.org/C32224588","wikidata":"https://www.wikidata.org/wiki/Q7250175","display_name":"Proper linear model","level":4,"score":0.4149007201194763},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3261645436286926},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30224910378456116},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23811686038970947},{"id":"https://openalex.org/C120068334","wikidata":"https://www.wikidata.org/wiki/Q45343","display_name":"Polynomial regression","level":3,"score":0.17586567997932434},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2015.2411220","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2411220","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.701.7514","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.701.7514","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.wpi.edu/%7Ellai/07055923.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5602525726","display_name":null,"funder_award_id":"DMS-12-65663","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W44337756","https://openalex.org/W597907302","https://openalex.org/W966080908","https://openalex.org/W1483968386","https://openalex.org/W1491711721","https://openalex.org/W1533983758","https://openalex.org/W1559899545","https://openalex.org/W1873856328","https://openalex.org/W1938299008","https://openalex.org/W1965256988","https://openalex.org/W1972249757","https://openalex.org/W1974977139","https://openalex.org/W1986534397","https://openalex.org/W1987371344","https://openalex.org/W1989914875","https://openalex.org/W2001992115","https://openalex.org/W2008926977","https://openalex.org/W2022548072","https://openalex.org/W2038869097","https://openalex.org/W2044535354","https://openalex.org/W2063978378","https://openalex.org/W2065075214","https://openalex.org/W2075660001","https://openalex.org/W2078273711","https://openalex.org/W2091442045","https://openalex.org/W2103559027","https://openalex.org/W2110355775","https://openalex.org/W2113328646","https://openalex.org/W2117227640","https://openalex.org/W2117686388","https://openalex.org/W2118673550","https://openalex.org/W2134939827","https://openalex.org/W2135046866","https://openalex.org/W2140456136","https://openalex.org/W2142635246","https://openalex.org/W2146482778","https://openalex.org/W2150940164","https://openalex.org/W2157183393","https://openalex.org/W2520823813","https://openalex.org/W2950190315","https://openalex.org/W2997644599","https://openalex.org/W3103870504","https://openalex.org/W3126002274","https://openalex.org/W3145128584","https://openalex.org/W4213295258","https://openalex.org/W4246219036","https://openalex.org/W4252722076","https://openalex.org/W4293764463","https://openalex.org/W4294552486","https://openalex.org/W6633639730","https://openalex.org/W6640412131","https://openalex.org/W6677402208","https://openalex.org/W6682241100"],"related_works":["https://openalex.org/W3093365844","https://openalex.org/W4311364185","https://openalex.org/W4309298396","https://openalex.org/W2296480322","https://openalex.org/W2804784031","https://openalex.org/W4220829648","https://openalex.org/W2383348664","https://openalex.org/W1487229660","https://openalex.org/W1572348857","https://openalex.org/W2750360204"],"abstract_inverted_index":{"We":[0,115],"consider":[1],"linear":[2,62,98],"regression":[3,63],"problems":[4,64],"for":[5,38,61],"which":[6],"the":[7,18,45,80,83,94,102,105,122,127,137,140,157],"underlying":[8],"model":[9],"undergoes":[10],"multiple":[11],"changes.":[12],"Our":[13],"goal":[14],"is":[15,86,143],"to":[16,49,110,120,155],"estimate":[17],"number":[19],"and":[20,31,35,48,71,101],"locations":[21,103],"of":[22,44,82,97,104,112,139,148],"change-points":[23,107],"that":[24,79,93,126,136],"segment":[25],"available":[26],"data":[27],"into":[28],"different":[29],"regions,":[30],"further":[32,116],"produce":[33,50],"sparse":[34,56],"interpretable":[36,51],"models":[37],"each":[39],"region.":[40],"To":[41],"address":[42],"challenges":[43],"existing":[46,149],"approaches":[47],"models,":[52],"we":[53,77,91,134],"propose":[54,117],"a":[55,72,118],"group":[57],"Lasso":[58],"based":[59],"approach":[60,85],"with":[65],"change-points.":[66,114],"Under":[67],"certain":[68],"mild":[69],"assumptions":[70],"properly":[73],"chosen":[74],"regularization":[75,123],"term,":[76],"prove":[78],"solution":[81],"proposed":[84,141],"asymptotically":[87],"consistent.":[88],"In":[89,132],"particular,":[90],"show":[92,135],"estimation":[95],"error":[96],"coefficients":[99],"diminishes,":[100],"estimated":[106],"are":[108,153],"close":[109],"those":[111,147],"true":[113],"method":[119],"choose":[121],"term":[124],"so":[125],"results":[128],"mentioned":[129],"above":[130],"hold.":[131],"addition,":[133],"complexity":[138],"algorithm":[142],"much":[144],"smaller":[145],"than":[146],"approaches.":[150],"Numerical":[151],"examples":[152],"provided":[154],"validate":[156],"analytical":[158],"results.":[159]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
