{"id":"https://openalex.org/W2081453170","doi":"https://doi.org/10.1016/s0167-9473(03)00138-5","title":"Partial least-squares vs. Lanczos bidiagonalization\u2014I: analysis of a projection method for multiple regression","display_name":"Partial least-squares vs. Lanczos bidiagonalization\u2014I: analysis of a projection method for multiple regression","publication_year":2003,"publication_date":"2003-07-07","ids":{"openalex":"https://openalex.org/W2081453170","doi":"https://doi.org/10.1016/s0167-9473(03)00138-5","mag":"2081453170"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-9473(03)00138-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-9473(03)00138-5","pdf_url":null,"source":{"id":"https://openalex.org/S132362803","display_name":"Computational Statistics & Data Analysis","issn_l":"0167-9473","issn":["0167-9473","1872-7352"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics & Data Analysis","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/A5076902388","display_name":"Lars Eld\u00e9n","orcid":"https://orcid.org/0000-0003-2281-856X"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Lars Eld\u00e9n","raw_affiliation_strings":["Department of Mathematics, Link\u00f6ping University, SE-581 83 Link\u00f6ping, Sweden","Department of Mathematics, Link\u00f6ping University, SE-581 83 Link\u00f6ping, Sweden,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Link\u00f6ping University, SE-581 83 Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Department of Mathematics, Link\u00f6ping University, SE-581 83 Link\u00f6ping, Sweden,","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076902388"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":{"value":3340,"currency":"USD","value_usd":3340},"apc_paid":null,"fwci":4.2117,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.93824518,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"46","issue":"1","first_page":"11","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9998000264167786,"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":0.9998000264167786,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9804999828338623,"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/T12114","display_name":"Sensory Analysis and Statistical Methods","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7935183048248291},{"id":"https://openalex.org/keywords/lanczos-resampling","display_name":"Lanczos resampling","score":0.7625185251235962},{"id":"https://openalex.org/keywords/partial-least-squares-regression","display_name":"Partial least squares regression","score":0.694316029548645},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.6414633393287659},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.5903553366661072},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.5733030438423157},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.561402440071106},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5554441809654236},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5345337390899658},{"id":"https://openalex.org/keywords/total-least-squares","display_name":"Total least squares","score":0.525432288646698},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.501544713973999},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.47642382979393005},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.458343505859375},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4399567246437073},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4391348958015442},{"id":"https://openalex.org/keywords/linear-least-squares","display_name":"Linear least squares","score":0.4250068664550781},{"id":"https://openalex.org/keywords/principal-component-regression","display_name":"Principal component regression","score":0.41677162051200867},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.41553935408592224},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.35378092527389526},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30390167236328125},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.2882043123245239},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.17882561683654785},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14892950654029846},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14581751823425293},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.13114780187606812},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09000131487846375}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7935183048248291},{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.7625185251235962},{"id":"https://openalex.org/C22354355","wikidata":"https://www.wikidata.org/wiki/Q422009","display_name":"Partial least squares regression","level":2,"score":0.694316029548645},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6414633393287659},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.5903553366661072},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.5733030438423157},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.561402440071106},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5554441809654236},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5345337390899658},{"id":"https://openalex.org/C169241690","wikidata":"https://www.wikidata.org/wiki/Q7828122","display_name":"Total least squares","level":3,"score":0.525432288646698},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.501544713973999},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.47642382979393005},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.458343505859375},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4399567246437073},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4391348958015442},{"id":"https://openalex.org/C58663186","wikidata":"https://www.wikidata.org/wiki/Q6553462","display_name":"Linear least squares","level":3,"score":0.4250068664550781},{"id":"https://openalex.org/C74887250","wikidata":"https://www.wikidata.org/wiki/Q3455892","display_name":"Principal component regression","level":3,"score":0.41677162051200867},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.41553935408592224},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.35378092527389526},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30390167236328125},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2882043123245239},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.17882561683654785},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14892950654029846},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14581751823425293},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.13114780187606812},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09000131487846375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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":3,"locations":[{"id":"doi:10.1016/s0167-9473(03)00138-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-9473(03)00138-5","pdf_url":null,"source":{"id":"https://openalex.org/S132362803","display_name":"Computational Statistics & Data Analysis","issn_l":"0167-9473","issn":["0167-9473","1872-7352"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics & Data Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.6.6077","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.6077","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mai.liu.se/~laeld/papers/pls-paper-1.ps","raw_type":"text"},{"id":"pmh:oai:RePEc:eee:csdana:v:46:y:2004:i:1:p:11-31","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0167-9473(03)00138-5","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W242257288","https://openalex.org/W969324158","https://openalex.org/W1546004968","https://openalex.org/W1554944419","https://openalex.org/W1594234351","https://openalex.org/W1989295284","https://openalex.org/W1992689270","https://openalex.org/W2002448960","https://openalex.org/W2005423095","https://openalex.org/W2010315317","https://openalex.org/W2016834185","https://openalex.org/W2033180095","https://openalex.org/W2042810309","https://openalex.org/W2067819697","https://openalex.org/W2073503722","https://openalex.org/W2079775628","https://openalex.org/W2087557690","https://openalex.org/W2097897435","https://openalex.org/W2107357525","https://openalex.org/W2108488321","https://openalex.org/W2126999940","https://openalex.org/W2140064412","https://openalex.org/W2148694408","https://openalex.org/W2160333357","https://openalex.org/W2166446427","https://openalex.org/W2171033594","https://openalex.org/W2798909945","https://openalex.org/W4232421753","https://openalex.org/W4240385847","https://openalex.org/W4244398791","https://openalex.org/W4285719527","https://openalex.org/W4302564868","https://openalex.org/W4399997615","https://openalex.org/W6651805951"],"related_works":["https://openalex.org/W2950418232","https://openalex.org/W4301683480","https://openalex.org/W2889932903","https://openalex.org/W1964004266","https://openalex.org/W1977732568","https://openalex.org/W2045998430","https://openalex.org/W3201061354","https://openalex.org/W1599640686","https://openalex.org/W4287126381","https://openalex.org/W3166616159"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}