{"id":"https://openalex.org/W2944450779","doi":"https://doi.org/10.1142/s0217595919500167","title":"High-Dimensional Least-Squares with Perfect Positive Correlation","display_name":"High-Dimensional Least-Squares with Perfect Positive Correlation","publication_year":2019,"publication_date":"2019-05-06","ids":{"openalex":"https://openalex.org/W2944450779","doi":"https://doi.org/10.1142/s0217595919500167","mag":"2944450779"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595919500167","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595919500167","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5027748348","display_name":"Zhiyong Huang","orcid":"https://orcid.org/0000-0002-1972-7619"},"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":"Zhiyong Huang","raw_affiliation_strings":["Department of Applied Mathematics, Beijing Jiaotong University, Beijing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing Jiaotong University, Beijing, P. R. China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071190011","display_name":"Ziyan Luo","orcid":"https://orcid.org/0000-0002-4926-5929"},"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":"Ziyan Luo","raw_affiliation_strings":["State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, P. R. China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071551240","display_name":"Naihua Xiu","orcid":"https://orcid.org/0000-0002-3129-2005"},"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":"Naihua Xiu","raw_affiliation_strings":["Department of Applied Mathematics, Beijing Jiaotong University, Beijing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing Jiaotong University, Beijing, P. R. China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06507879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"04","first_page":"1950016","last_page":"1950016"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9980000257492065,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9980000257492065,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9908999800682068,"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":0.9902999997138977,"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/mathematics","display_name":"Mathematics","score":0.7475565671920776},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.6040980815887451},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.537939190864563},{"id":"https://openalex.org/keywords/generalized-least-squares","display_name":"Generalized least squares","score":0.48449012637138367},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44955241680145264},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.42225080728530884},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3491148352622986},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2114330232143402}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7475565671920776},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.6040980815887451},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.537939190864563},{"id":"https://openalex.org/C188649462","wikidata":"https://www.wikidata.org/wiki/Q2246261","display_name":"Generalized least squares","level":3,"score":0.48449012637138367},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44955241680145264},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.42225080728530884},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3491148352622986},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2114330232143402},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0217595919500167","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595919500167","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:36:y:2019:i:04:n:s0217595919500167","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595919500167","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1193080017","display_name":null,"funder_award_id":"11771038","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W129423020","https://openalex.org/W618248042","https://openalex.org/W637655573","https://openalex.org/W1551610462","https://openalex.org/W1985514943","https://openalex.org/W2020925091","https://openalex.org/W2070374624","https://openalex.org/W2074682976","https://openalex.org/W2075894130","https://openalex.org/W2079775628","https://openalex.org/W2084077813","https://openalex.org/W2093499918","https://openalex.org/W2102760656","https://openalex.org/W2120875981","https://openalex.org/W2122825543","https://openalex.org/W2135046866","https://openalex.org/W2136885855","https://openalex.org/W2138019504","https://openalex.org/W2140514146","https://openalex.org/W2142972916","https://openalex.org/W2802553787","https://openalex.org/W2971788173","https://openalex.org/W3143949042","https://openalex.org/W4206300474","https://openalex.org/W4248363359","https://openalex.org/W4250908292","https://openalex.org/W4302768905"],"related_works":["https://openalex.org/W1959514624","https://openalex.org/W4319880936","https://openalex.org/W2034819163","https://openalex.org/W2797020683","https://openalex.org/W4250719734","https://openalex.org/W2065890685","https://openalex.org/W2904264696","https://openalex.org/W79007405","https://openalex.org/W2167126078","https://openalex.org/W3150673294"],"abstract_inverted_index":{"The":[0,106,179],"least-squares":[1,63,110,187],"is":[2,64,117,153,188,209],"a":[3,39,57,102,126],"common":[4],"and":[5,23,82,132,198,202,227],"important":[6],"method":[7,166],"in":[8,190,220],"linear":[9,103],"regression.":[10],"However,":[11],"it":[12],"often":[13],"leads":[14],"to":[15,35,72,119,170,185,214],"overfitting":[16],"phenomenon":[17],"as":[18],"dealing":[19],"with":[20,66,113,211],"high-dimensional":[21],"problems,":[22],"various":[24],"regularization":[25],"schemes":[26],"regarding":[27],"prior":[28],"information":[29],"for":[30],"specific":[31],"problems":[32],"are":[33],"studied":[34],"make":[36],"up":[37],"such":[38],"deficiency.":[40],"In":[41,122],"the":[42,50,61,74,77,80,83,88,96,130,133,139,143,172,176,199,203,212],"sense":[43],"of":[44,52,76,79,167,181,192,205,222],"Kendall\u2019s":[45],"[Formula:":[46],"see":[47],"text]":[48],"from":[49,142,175],"community":[51],"nonparametric":[53],"analysis,":[54],"we":[55,94,124,160],"establish":[56],"new":[58],"model":[59,152,174,183],"wherein":[60],"ordinary":[62,186],"equipped":[65],"perfect":[67,97],"positive":[68,98],"correlation":[69,99,194,229],"constraint,":[70],"sought":[71],"maintain":[73],"concordance":[75],"rankings":[78],"observations":[81,89,131],"systematic":[84,200],"components.":[85],"By":[86],"sorting":[87],"into":[90,101],"an":[91,162],"ascending":[92],"order,":[93],"reduce":[95],"constraint":[100],"inequality":[104],"system.":[105],"resulting":[107],"linearly":[108],"constrained":[109],"problem":[111,116],"together":[112],"its":[114],"dual":[115,177,207],"shown":[118],"be":[120],"solvable.":[121],"particular,":[123],"introduce":[125],"mild":[127],"assumption":[128],"on":[129],"measurement":[134],"matrix":[135],"which":[136],"rules":[137],"out":[138],"zero":[140],"vector":[141],"optimal":[144],"solution":[145,225],"set.":[146],"This":[147],"indicates":[148],"that":[149],"our":[150,182,206],"proposed":[151,173],"statistically":[154],"meaningful.":[155],"To":[156],"handle":[157],"large-scale":[158],"instances,":[159],"propose":[161],"efficient":[163,216],"alternating":[164],"direction":[165],"multipliers":[168],"(ADMM)":[169],"solve":[171],"perspective.":[178],"effectiveness":[180],"compared":[184],"evaluated":[189],"terms":[191,221],"rank":[193,228],"coefficient":[195],"between":[196],"outputs":[197],"components,":[201],"efficiency":[204],"algorithm":[208],"demonstrated":[210],"comparison":[213],"three":[215],"solvers":[217],"via":[218],"CVX":[219],"computation":[223],"time,":[224],"accuracy":[226],"coefficient.":[230]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
