{"id":"https://openalex.org/W4281480951","doi":"https://doi.org/10.5705/ss.202022.0097","title":"Sliced Inverse Regression in Metric Spaces","display_name":"Sliced Inverse Regression in Metric Spaces","publication_year":2022,"publication_date":"2022-05-25","ids":{"openalex":"https://openalex.org/W4281480951","doi":"https://doi.org/10.5705/ss.202022.0097"},"language":"en","primary_location":{"id":"doi:10.5705/ss.202022.0097","doi":"https://doi.org/10.5705/ss.202022.0097","is_oa":false,"landing_page_url":"https://doi.org/10.5705/ss.202022.0097","pdf_url":null,"source":{"id":"https://openalex.org/S23408671","display_name":"Statistica Sinica","issn_l":"1017-0405","issn":["1017-0405","1996-8507"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4362561675","host_organization_name":"Institute of Statistical Science","host_organization_lineage":["https://openalex.org/P4362561675"],"host_organization_lineage_names":["Institute of Statistical Science"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistica Sinica","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2206.11511","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062244712","display_name":"Joni Virta","orcid":"https://orcid.org/0000-0002-2150-2769","observed_orcids":["https://orcid.org/0000-0002-2150-2769"]},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Joni Virta","raw_affiliation_strings":["University of Turku"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Turku","institution_ids":["https://openalex.org/I155660961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039532083","display_name":"Kuang\u2010Yao Lee","orcid":"https://orcid.org/0000-0002-7647-438X","observed_orcids":["https://orcid.org/0000-0002-7647-438X"]},"institutions":[{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kuang-Yao Lee","raw_affiliation_strings":["Temple University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Temple University","institution_ids":["https://openalex.org/I84392919"]}]},{"author_position":"last","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":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lexin Li","raw_affiliation_strings":["University of California at Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9286,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74049497,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"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":0.5224999785423279,"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":0.5224999785423279,"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":0.08209999650716782,"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":0.07199999690055847,"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/sliced-inverse-regression","display_name":"sliced inverse regression","score":0.9980000257492065},{"id":"https://openalex.org/keywords/sufficient-dimension-reduction","display_name":"sufficient dimension reduction","score":0.9819999933242798},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"reproducing kernel Hilbert space","score":0.9559999704360962},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"nonlinear dimensionality reduction","score":0.8429999947547913},{"id":"https://openalex.org/keywords/convergence-rate","display_name":"convergence rate","score":0.8059999942779541},{"id":"https://openalex.org/keywords/non-euclidean-data","display_name":"non-Euclidean data","score":0.8529999852180481}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7576647996902466},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6649020314216614},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.6360518336296082},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5809769034385681},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.550028920173645},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5463838577270508},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4889353811740875},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4769688546657562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4551657438278198},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4500666856765747},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.41657179594039917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2625972628593445},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2583141028881073},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1413463056087494},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13408446311950684},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.5705/ss.202022.0097","doi":"https://doi.org/10.5705/ss.202022.0097","is_oa":false,"landing_page_url":"https://doi.org/10.5705/ss.202022.0097","pdf_url":null,"source":{"id":"https://openalex.org/S23408671","display_name":"Statistica Sinica","issn_l":"1017-0405","issn":["1017-0405","1996-8507"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4362561675","host_organization_name":"Institute of Statistical Science","host_organization_lineage":["https://openalex.org/P4362561675"],"host_organization_lineage_names":["Institute of Statistical Science"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistica Sinica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2206.11511","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.11511","pdf_url":"https://arxiv.org/pdf/2206.11511","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:utupub.fi:11111/32987","doi":null,"is_oa":true,"landing_page_url":"https://www.utupub.fi/handle/11111/32987","pdf_url":"https://www.utupub.fi/bitstreams/51e3aa4e-0a40-479f-9d82-fa021d4470da/download","source":{"id":"https://openalex.org/S4306402470","display_name":"UTUPub (University of Turku)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I155660961","host_organization_name":"University of Turku","host_organization_lineage":["https://openalex.org/I155660961"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.utupub.fi/handle/10024/174150","raw_type":null},{"id":"pmh:oai:www.utupub.fi:10024/174150","doi":null,"is_oa":true,"landing_page_url":"https://www.utupub.fi/handle/10024/174150","pdf_url":"https://www.utupub.fi/bitstream/10024/174150/1/msir-2022-05-24%20%281%29.pdf","source":{"id":"https://openalex.org/S4306402470","display_name":"UTUPub (University of Turku)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I155660961","host_organization_name":"University of Turku","host_organization_lineage":["https://openalex.org/I155660961"],"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":null},{"id":"doi:10.48550/arxiv.2206.11511","doi":"https://doi.org/10.48550/arxiv.2206.11511","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2206.11511","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2206.11511","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.11511","pdf_url":"https://arxiv.org/pdf/2206.11511","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1377267193","display_name":"CIF: Small: Collaborative Research: Graphical Modeling of Multivariate Functional Data","funder_award_id":"2102243","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5371796370","display_name":"New Statistical Methods for Multicenter Multimodal Longitudinal Neuroimaging Analysis","funder_award_id":"R01AG061303","funder_id":"https://openalex.org/F4320337337","funder_display_name":"National Institute on Aging"},{"id":"https://openalex.org/G8237323229","display_name":"CIF: Small: Collaborative Research: Graphical Modeling of Multivariate Functional Data","funder_award_id":"2102227","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"},{"id":"https://openalex.org/F4320312387","display_name":"Temple University","ror":"https://ror.org/00kx1jb78"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320333865","display_name":"Fox School of Business, Temple University","ror":null},{"id":"https://openalex.org/F4320337337","display_name":"National Institute on Aging","ror":"https://ror.org/049v75w11"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281480951.pdf","grobid_xml":"https://content.openalex.org/works/W4281480951.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W342858109","https://openalex.org/W1977085253","https://openalex.org/W1979793730","https://openalex.org/W2025256645","https://openalex.org/W2035140935","https://openalex.org/W2039448553","https://openalex.org/W2058046532","https://openalex.org/W2072460512","https://openalex.org/W2076423950","https://openalex.org/W2081940416","https://openalex.org/W2086014844","https://openalex.org/W2095296627","https://openalex.org/W2098361145","https://openalex.org/W2143661428","https://openalex.org/W2144405862","https://openalex.org/W2157801062","https://openalex.org/W2158225132","https://openalex.org/W2159813797","https://openalex.org/W2161365042","https://openalex.org/W2163490846","https://openalex.org/W2167868121","https://openalex.org/W2217724233","https://openalex.org/W2259791095","https://openalex.org/W2323091806","https://openalex.org/W2609668242","https://openalex.org/W2625030036","https://openalex.org/W2765401959","https://openalex.org/W2902246264","https://openalex.org/W2910920586","https://openalex.org/W2951715671","https://openalex.org/W2962797912","https://openalex.org/W2981913415","https://openalex.org/W2997175929","https://openalex.org/W3023957022","https://openalex.org/W3099161711","https://openalex.org/W4213371211","https://openalex.org/W4233516996","https://openalex.org/W4295267427"],"related_works":["https://openalex.org/W7128016250","https://openalex.org/W7202358912","https://openalex.org/W4387838397","https://openalex.org/W4393290073","https://openalex.org/W4281252509","https://openalex.org/W2073580055","https://openalex.org/W4388407658","https://openalex.org/W4312844340","https://openalex.org/W4392214858","https://openalex.org/W3011677071"],"abstract_inverted_index":{"In":[0],"this":[1,68],"article,":[2],"we":[3],"propose":[4],"a":[5,54,104],"general":[6,22],"nonlinear":[7,55],"sufficient":[8],"dimension":[9],"reduction":[10],"(SDR)":[11],"framework":[12,69],"when":[13],"both":[14,98,119],"the":[15,37,41,46,60,71,77,81,89,95,99,115],"predictor":[16],"and":[17,85,102,107,121],"response":[18],"lie":[19],"in":[20],"some":[21],"metric":[23,42,72],"spaces.":[24],"We":[25,58,75,93,113],"construct":[26],"reproducing":[27],"kernel":[28],"Hilbert":[29],"spaces":[30,51],"whose":[31],"kernels":[32],"are":[33],"fully":[34],"determined":[35],"by":[36],"distance":[38],"functions":[39],"of":[40,49,65],"spaces,":[43],"then":[44],"leverage":[45],"inherent":[47],"structures":[48],"these":[50],"to":[52],"define":[53],"SDR":[56],"framework.":[57],"adapt":[59],"classical":[61],"sliced":[62],"inverse":[63],"regression":[64,90],"\\citet{Li:1991}":[66],"within":[67],"for":[70],"space":[73],"data.":[74],"build":[76],"estimator":[78,96],"based":[79],"on":[80],"corresponding":[82],"linear":[83],"operators,":[84],"show":[86],"it":[87],"recovers":[88],"information":[91],"unbiasedly.":[92],"derive":[94],"at":[97],"operator":[100],"level":[101],"under":[103],"coordinate":[105],"system,":[106],"also":[108],"establish":[109],"its":[110],"convergence":[111],"rate.":[112],"illustrate":[114],"proposed":[116],"method":[117],"with":[118],"synthetic":[120],"real":[122],"datasets":[123],"exhibiting":[124],"non-Euclidean":[125],"geometry.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3}],"updated_date":"2026-10-18T09:31:52.927876","created_date":"2022-05-26T00:00:00"}