{"id":"https://openalex.org/W2520725632","doi":null,"title":"SIR3: Dimension reduction in the presence of linearly or nonlinearly related predictors","display_name":"SIR3: Dimension reduction in the presence of linearly or nonlinearly related predictors","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2520725632","mag":"2520725632"},"language":"en","primary_location":{"id":"pmh:oai:repository.lib.ncsu.edu:1840.4/1380","doi":null,"is_oa":true,"landing_page_url":"http://www.lib.ncsu.edu/resolver/1840.4/1380","pdf_url":"http://www.lib.ncsu.edu/resolver/1840.4/1380","source":{"id":"https://openalex.org/S4306402468","display_name":"NCSU Libraries Repository (North Carolina State University Libraries)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I137902535","host_organization_name":"North Carolina State University","host_organization_lineage":["https://openalex.org/I137902535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical report"},"volume":null,"type":"report","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.lib.ncsu.edu/resolver/1840.4/1380","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017399049","display_name":"Lexin Li","orcid":"https://orcid.org/0000-0003-2962-1989","observed_orcids":["https://orcid.org/0000-0003-2962-1989"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lexin Li","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2962-1989","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042750705","display_name":"R. Dennis Cook","orcid":"https://orcid.org/0000-0002-3488-4743","observed_orcids":["https://orcid.org/0000-0002-3488-4743"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Dennis Cook","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3488-4743","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5013357932","display_name":"Christopher J. Nachtsheim","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christopher J. Nachtsheim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13141","display_name":"Statistical Methods and Applications","score":0.4779999852180481,"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/T13141","display_name":"Statistical Methods and Applications","score":0.4779999852180481,"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":0.43070000410079956,"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":0.04490000009536743,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sufficient-dimension-reduction","display_name":"sufficient dimension reduction","score":0.9990000128746033},{"id":"https://openalex.org/keywords/sliced-inverse-regression","display_name":"sliced inverse regression","score":0.8700000047683716},{"id":"https://openalex.org/keywords/high-dimensional-regression","display_name":"high-dimensional regression","score":0.7450000047683716},{"id":"https://openalex.org/keywords/sir3","display_name":"Sir3","score":0.7990000247955322}],"concepts":[{"id":"https://openalex.org/C41341539","wikidata":"https://www.wikidata.org/wiki/Q7540242","display_name":"Sliced inverse regression","level":3,"score":0.9355292320251465},{"id":"https://openalex.org/C27931671","wikidata":"https://www.wikidata.org/wiki/Q7634497","display_name":"Sufficient dimension reduction","level":3,"score":0.8335843086242676},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.7346480488777161},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7040095329284668},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6805716156959534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6437884569168091},{"id":"https://openalex.org/C77170095","wikidata":"https://www.wikidata.org/wiki/Q1753188","display_name":"Linearity","level":2,"score":0.6199313402175903},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5507055521011353},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.5112204551696777},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4483446478843689},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.4333001375198364},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.42851245403289795},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.41453173756599426},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3870152235031128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33755043148994446},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3230828642845154},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:repository.lib.ncsu.edu:1840.4/1380","doi":null,"is_oa":true,"landing_page_url":"http://www.lib.ncsu.edu/resolver/1840.4/1380","pdf_url":"http://www.lib.ncsu.edu/resolver/1840.4/1380","source":{"id":"https://openalex.org/S4306402468","display_name":"NCSU Libraries Repository (North Carolina State University Libraries)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I137902535","host_organization_name":"North Carolina State University","host_organization_lineage":["https://openalex.org/I137902535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical report"},{"id":"mag:2520725632","doi":null,"is_oa":false,"landing_page_url":"https://repository.lib.ncsu.edu/handle/1840.4/1380","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:repository.lib.ncsu.edu:1840.4/1380","doi":null,"is_oa":true,"landing_page_url":"http://www.lib.ncsu.edu/resolver/1840.4/1380","pdf_url":"http://www.lib.ncsu.edu/resolver/1840.4/1380","source":{"id":"https://openalex.org/S4306402468","display_name":"NCSU Libraries Repository (North Carolina State University Libraries)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I137902535","host_organization_name":"North Carolina State University","host_organization_lineage":["https://openalex.org/I137902535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical report"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2520725632.pdf","grobid_xml":"https://content.openalex.org/works/W2520725632.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1913335695","https://openalex.org/W1968104963","https://openalex.org/W1974334043","https://openalex.org/W1976422186","https://openalex.org/W1979664023","https://openalex.org/W1995023148","https://openalex.org/W2017977879","https://openalex.org/W2024812020","https://openalex.org/W2053225089","https://openalex.org/W2066740458","https://openalex.org/W2081988173","https://openalex.org/W2091982937","https://openalex.org/W2099427332","https://openalex.org/W2119021772","https://openalex.org/W2120350343","https://openalex.org/W2154080901","https://openalex.org/W2163490846"],"related_works":["https://openalex.org/W7099597211","https://openalex.org/W6946804991","https://openalex.org/W2004084951","https://openalex.org/W7067550938","https://openalex.org/W1977092452","https://openalex.org/W6908721909","https://openalex.org/W2299934197","https://openalex.org/W4404289372","https://openalex.org/W2163490846","https://openalex.org/W3097352590"],"abstract_inverted_index":{"Sufficient":[0],"dimension":[1,17],"reduction":[2,18],"(sdr)":[3],"is":[4,38,100,114],"an":[5,101],"effective":[6,93],"tool":[7],"for":[8,41],"reducing":[9],"highdimensional":[10],"predictor":[11,60],"spaces":[12],"in":[13],"regression":[14,23,110],"problems.sdr":[15],"achieves":[16],"without":[19,26],"loss":[20],"of":[21,35,67,103,140],"any":[22,31],"information":[24],"and":[25,49,62,87,112,129],"the":[27,59,65,84,123,138,141],"need":[28],"to":[29,91,120,136],"assume":[30],"particular":[32],"parametric":[33],"form":[34],"a":[36,55,73,104,130],"model.This":[37],"particularly":[39],"useful":[40],"high-dimensional":[42],"applications":[43,66],"such":[44],"as":[45],"data":[46,132],"mining,":[47],"marketing,":[48],"bioinformatics.However,":[50],"all":[51],"sdr":[52,75,106],"methods":[53],"require":[54,83],"linearity":[56,85,124],"condition":[57,125],"on":[58],"distribution,":[61],"that":[63,116],"restricts":[64],"sdr.In":[68],"this":[69],"article,":[70],"we":[71,89],"propose":[72],"new":[74],"method,":[76],"sir":[77,117,121],"3":[78,99,118],",":[79],"which":[80,88],"does":[81],"not":[82],"condition,":[86],"show":[90],"be":[92],"when":[94,122],"nonlinearly-related":[95],"predictors":[96],"are":[97,134],"present.sir":[98],"extension":[102],"representative":[105],"method":[107],"sliced":[108],"inverse":[109],"(sir),":[111],"it":[113],"shown":[115],"reduces":[119],"holds.A":[126],"simulation":[127],"study":[128],"real":[131],"application":[133],"presented":[135],"demonstrate":[137],"effectiveness":[139],"proposed":[142],"method.":[143]},"counts_by_year":[],"updated_date":"2026-09-01T08:31:24.195828","created_date":"2016-09-23T00:00:00"}
