{"id":"https://openalex.org/W2877871066","doi":"https://doi.org/10.1109/tnnls.2018.2844866","title":"Solving Partial Least Squares Regression via Manifold Optimization Approaches","display_name":"Solving Partial Least Squares Regression via Manifold Optimization Approaches","publication_year":2018,"publication_date":"2018-07-09","ids":{"openalex":"https://openalex.org/W2877871066","doi":"https://doi.org/10.1109/tnnls.2018.2844866","mag":"2877871066","pmid":"https://pubmed.ncbi.nlm.nih.gov/29994619"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2018.2844866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2844866","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100353673","display_name":"Hao Chen","orcid":"https://orcid.org/0009-0001-6480-7976"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haoran Chen","raw_affiliation_strings":["Beijing Key Laboratory of Multimedia and Intelligent Software Technology, Faculty of Information Technology, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Multimedia and Intelligent Software Technology, Faculty of Information Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103225223","display_name":"Yanfeng Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanfeng Sun","raw_affiliation_strings":["Beijing Advanced Innovation Center for Future Internet Technology, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Advanced Innovation Center for Future Internet Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015817857","display_name":"Junbin Gao","orcid":"https://orcid.org/0000-0001-9803-0256"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Junbin Gao","raw_affiliation_strings":["Discipline of Business Analytics, The University of Sydney Business School, The University of Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Discipline of Business Analytics, The University of Sydney Business School, The University of Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027329007","display_name":"Yongli Hu","orcid":"https://orcid.org/0000-0003-0440-438X"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongli Hu","raw_affiliation_strings":["Beijing Advanced Innovation Center for Future Internet Technology, Beijing University of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Advanced Innovation Center for Future Internet Technology, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020527092","display_name":"Baocai Yin","orcid":"https://orcid.org/0000-0003-3121-1823"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baocai Yin","raw_affiliation_strings":["Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I4210092944","https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100353673"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":null,"apc_paid":null,"fwci":1.7752,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.81700099,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"30","issue":"2","first_page":"588","last_page":"600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/partial-least-squares-regression","display_name":"Partial least squares regression","score":0.8542911410331726},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.48920273780822754},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.4847352206707001},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4825686514377594},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4760025441646576},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.47123536467552185},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.46386024355888367},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.45535093545913696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4523301422595978},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4393937885761261},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4335521161556244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32376667857170105},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1981111466884613},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.060775965452194214}],"concepts":[{"id":"https://openalex.org/C22354355","wikidata":"https://www.wikidata.org/wiki/Q422009","display_name":"Partial least squares regression","level":2,"score":0.8542911410331726},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.48920273780822754},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4847352206707001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4825686514377594},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4760025441646576},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.47123536467552185},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.46386024355888367},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.45535093545913696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4523301422595978},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4393937885761261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4335521161556244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32376667857170105},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1981111466884613},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.060775965452194214},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2018.2844866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2018.2844866","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:29994619","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29994619","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":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G191281600","display_name":null,"funder_award_id":"61672071","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4746619204","display_name":null,"funder_award_id":"61772048","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4793047526","display_name":null,"funder_award_id":"4172003","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G5683943641","display_name":null,"funder_award_id":"61632006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6670374344","display_name":null,"funder_award_id":"2017","funder_id":"https://openalex.org/F4320320966","funder_display_name":"University of Sydney"},{"id":"https://openalex.org/G7122588899","display_name":null,"funder_award_id":"4162010","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G8799648594","display_name":null,"funder_award_id":"4184082","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"}],"funders":[{"id":"https://openalex.org/F4320320966","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":76,"referenced_works":["https://openalex.org/W20683381","https://openalex.org/W148638337","https://openalex.org/W807996015","https://openalex.org/W909808580","https://openalex.org/W1272371277","https://openalex.org/W1540778917","https://openalex.org/W1649622209","https://openalex.org/W1804110266","https://openalex.org/W1966089218","https://openalex.org/W1973566826","https://openalex.org/W1976251851","https://openalex.org/W1982851590","https://openalex.org/W1996267928","https://openalex.org/W2000081858","https://openalex.org/W2003239136","https://openalex.org/W2006516391","https://openalex.org/W2014134373","https://openalex.org/W2015845579","https://openalex.org/W2021661079","https://openalex.org/W2026117767","https://openalex.org/W2042182457","https://openalex.org/W2045512849","https://openalex.org/W2048037007","https://openalex.org/W2053544201","https://openalex.org/W2063237083","https://openalex.org/W2087187347","https://openalex.org/W2090695002","https://openalex.org/W2094871756","https://openalex.org/W2096043274","https://openalex.org/W2096642693","https://openalex.org/W2097057782","https://openalex.org/W2106002880","https://openalex.org/W2107357525","https://openalex.org/W2112074816","https://openalex.org/W2117138194","https://openalex.org/W2123582174","https://openalex.org/W2123717994","https://openalex.org/W2125422373","https://openalex.org/W2126017757","https://openalex.org/W2137225583","https://openalex.org/W2139916508","https://openalex.org/W2146966357","https://openalex.org/W2147631863","https://openalex.org/W2149338181","https://openalex.org/W2150600350","https://openalex.org/W2164278908","https://openalex.org/W2166446427","https://openalex.org/W2167623372","https://openalex.org/W2170917242","https://openalex.org/W2237268155","https://openalex.org/W2262946425","https://openalex.org/W2326283690","https://openalex.org/W2327108722","https://openalex.org/W2563147846","https://openalex.org/W2596553325","https://openalex.org/W2724897301","https://openalex.org/W2740586183","https://openalex.org/W2761536470","https://openalex.org/W2802754347","https://openalex.org/W2951664107","https://openalex.org/W2963837866","https://openalex.org/W3140672266","https://openalex.org/W4205293427","https://openalex.org/W4242537664","https://openalex.org/W4292363360","https://openalex.org/W4297817021","https://openalex.org/W6605953395","https://openalex.org/W6623034183","https://openalex.org/W6628256991","https://openalex.org/W6674909129","https://openalex.org/W6677833576","https://openalex.org/W6681730949","https://openalex.org/W6684641359","https://openalex.org/W6701428875","https://openalex.org/W6731117901","https://openalex.org/W6744925884"],"related_works":["https://openalex.org/W2119945967","https://openalex.org/W4307174022","https://openalex.org/W3119140586","https://openalex.org/W2963689654","https://openalex.org/W2105228010","https://openalex.org/W2217724233","https://openalex.org/W2739605076","https://openalex.org/W4297573974","https://openalex.org/W2588283913","https://openalex.org/W4300630552"],"abstract_inverted_index":{"Partial":[0],"least":[1],"squares":[2],"regression":[3,146],"(PLSR)":[4],"has":[5],"been":[6],"a":[7,25,33,52,72,77],"popular":[8],"technique":[9],"to":[10,36,80,103],"explore":[11],"the":[12,39,46,60,99,131,154],"linear":[13,145],"relationship":[14],"between":[15],"two":[16],"data":[17],"sets.":[18],"However,":[19],"all":[20,38,98],"existing":[21],"approaches":[22],"often":[23,56],"optimize":[24],"PLSR":[26,49,69,100],"model":[27],"in":[28,148],"Euclidean":[29,149],"space":[30],"and":[31,89,119,134],"take":[32],"successive":[34],"strategy":[35],"calculate":[37,97],"factors":[40,101],"one":[41,43],"by":[42],"for":[44],"keeping":[45],"mutually":[47],"orthogonal":[48],"factors.":[50],"Thus,":[51],"suboptimal":[53,106],"solution":[54],"is":[55,117],"generated.":[57],"To":[58],"overcome":[59],"shortcoming,":[61],"this":[62],"paper":[63],"takes":[64],"statistically":[65],"inspired":[66],"modification":[67],"of":[68,74,123],"(SIMPLSR)":[70],"as":[71],"representative":[73],"PLSR,":[75],"proposes":[76],"novel":[78],"approach":[79],"transform":[81],"SIMPLSR":[82,112],"into":[83],"optimization":[84,92],"problems":[85,127],"on":[86,113,125],"Riemannian":[87,114],"manifolds,":[88,115],"develops":[90],"corresponding":[91],"algorithms.":[93],"These":[94],"algorithms":[95,135],"can":[96,136],"simultaneously":[102],"avoid":[104],"any":[105],"solutions.":[107],"Moreover,":[108],"we":[109],"propose":[110],"sparse":[111],"which":[116],"simple":[118],"intuitive.":[120],"A":[121],"number":[122],"experiments":[124],"classification":[126,139],"have":[128,152],"demonstrated":[129],"that":[130],"proposed":[132],"models":[133],"get":[137],"lower":[138],"error":[140],"rates":[141],"compared":[142],"with":[143],"other":[144],"methods":[147],"space.":[150],"We":[151],"made":[153],"experimental":[155],"code":[156],"public":[157],"at":[158],"https://github.com/Haoran2014.":[159]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}