{"id":"https://openalex.org/W2971142245","doi":"https://doi.org/10.32614/rj-2019-006","title":"orthoDr: Semiparametric Dimension Reduction via Orthogonality Constrained Optimization","display_name":"orthoDr: Semiparametric Dimension Reduction via Orthogonality Constrained Optimization","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2971142245","doi":"https://doi.org/10.32614/rj-2019-006","mag":"2971142245"},"language":"en","primary_location":{"id":"doi:10.32614/rj-2019-006","is_oa":true,"landing_page_url":"https://doi.org/10.32614/rj-2019-006","pdf_url":"https://journal.r-project.org/archive/2019/RJ-2019-006/RJ-2019-006.pdf","source":{"id":"https://openalex.org/S2489169438","display_name":"The R Journal","issn_l":"2073-4859","issn":["2073-4859"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The R Journal","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://journal.r-project.org/archive/2019/RJ-2019-006/RJ-2019-006.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076762447","display_name":"Ruoqing Zhu","orcid":"https://orcid.org/0000-0002-0753-5716"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I869375964","display_name":"Woodward (United States)","ror":"https://ror.org/01y24f494","country_code":"US","type":"company","lineage":["https://openalex.org/I869375964"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ruoqing Zhu","raw_affiliation_strings":["Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA","institution_ids":["https://openalex.org/I103163165","https://openalex.org/I869375964"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101869831","display_name":"Jiyang Zhang","orcid":"https://orcid.org/0000-0002-4720-1657"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I869375964","display_name":"Woodward (United States)","ror":"https://ror.org/01y24f494","country_code":"US","type":"company","lineage":["https://openalex.org/I869375964"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiyang Zhang","raw_affiliation_strings":["Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA","institution_ids":["https://openalex.org/I103163165","https://openalex.org/I869375964"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054887953","display_name":"Ruilin Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I869375964","display_name":"Woodward (United States)","ror":"https://ror.org/01y24f494","country_code":"US","type":"company","lineage":["https://openalex.org/I869375964"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ruilin Zhao","raw_affiliation_strings":["Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA","institution_ids":["https://openalex.org/I103163165","https://openalex.org/I869375964"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077532535","display_name":"Peng Xu","orcid":"https://orcid.org/0000-0003-3399-9722"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I869375964","display_name":"Woodward (United States)","ror":"https://ror.org/01y24f494","country_code":"US","type":"company","lineage":["https://openalex.org/I869375964"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peng Xu","raw_affiliation_strings":["Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA","Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA","institution_ids":["https://openalex.org/I103163165","https://openalex.org/I869375964"]},{"raw_affiliation_string":"Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028993237","display_name":"Wenzhuo Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I869375964","display_name":"Woodward (United States)","ror":"https://ror.org/01y24f494","country_code":"US","type":"company","lineage":["https://openalex.org/I869375964"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wenzhuo Zhou","raw_affiliation_strings":["Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA","institution_ids":["https://openalex.org/I103163165","https://openalex.org/I869375964"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100327609","display_name":"Xin Zhang","orcid":"https://orcid.org/0000-0003-3636-6453"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I869375964","display_name":"Woodward (United States)","ror":"https://ror.org/01y24f494","country_code":"US","type":"company","lineage":["https://openalex.org/I869375964"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xin Zhang","raw_affiliation_strings":["Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics University of Illinois at Urbana-Champaign 725 S. Wright St. Champaign, IL 61820, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Statistics Florida State University 214 OSB, 117 N. Woodward Ave. Tallahassee, FL 32306-4330, USA","institution_ids":["https://openalex.org/I103163165","https://openalex.org/I869375964"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028993237"],"corresponding_institution_ids":["https://openalex.org/I103163165","https://openalex.org/I157725225","https://openalex.org/I869375964"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.10358007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"11","issue":"2","first_page":"24","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12535","display_name":"Machine Learning and Data Classification","score":0.9585000276565552,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12535","display_name":"Machine Learning and Data Classification","score":0.9585000276565552,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10836","display_name":"Metabolomics and Mass Spectrometry Studies","score":0.9379000067710876,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9151999950408936,"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/solver","display_name":"Solver","score":0.7974917888641357},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.6931430101394653},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.6894996166229248},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6357071399688721},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5981306433677673},{"id":"https://openalex.org/keywords/sufficient-dimension-reduction","display_name":"Sufficient dimension reduction","score":0.5977986454963684},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5889343619346619},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5667717456817627},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5022079944610596},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37662336230278015},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36240553855895996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34090977907180786},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12267819046974182}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7974917888641357},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.6931430101394653},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.6894996166229248},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6357071399688721},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5981306433677673},{"id":"https://openalex.org/C27931671","wikidata":"https://www.wikidata.org/wiki/Q7634497","display_name":"Sufficient dimension reduction","level":3,"score":0.5977986454963684},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5889343619346619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5667717456817627},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5022079944610596},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37662336230278015},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36240553855895996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34090977907180786},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12267819046974182},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.32614/rj-2019-006","is_oa":true,"landing_page_url":"https://doi.org/10.32614/rj-2019-006","pdf_url":"https://journal.r-project.org/archive/2019/RJ-2019-006/RJ-2019-006.pdf","source":{"id":"https://openalex.org/S2489169438","display_name":"The R Journal","issn_l":"2073-4859","issn":["2073-4859"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The R Journal","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.32614/rj-2019-006","is_oa":true,"landing_page_url":"https://doi.org/10.32614/rj-2019-006","pdf_url":"https://journal.r-project.org/archive/2019/RJ-2019-006/RJ-2019-006.pdf","source":{"id":"https://openalex.org/S2489169438","display_name":"The R Journal","issn_l":"2073-4859","issn":["2073-4859"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The R Journal","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1112920866","display_name":"CIF: Small: Efficient Discriminant Analysis Through Parsimonious Probabilistic Models","funder_award_id":"1617691","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G13791322","display_name":null,"funder_award_id":"DMS-1613154","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1619740154","display_name":"Collaborative Research: Tensor Envelope Model - A New Approach for Regressions with Tensor Data","funder_award_id":"1613154","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3342569510","display_name":null,"funder_award_id":"CCF-1617691","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/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2971142245.pdf","grobid_xml":"https://content.openalex.org/works/W2971142245.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1532814032","https://openalex.org/W1807984730","https://openalex.org/W1971789569","https://openalex.org/W1973167793","https://openalex.org/W1973169242","https://openalex.org/W1977085253","https://openalex.org/W1995470403","https://openalex.org/W1995738794","https://openalex.org/W1997384244","https://openalex.org/W2006785901","https://openalex.org/W2020593748","https://openalex.org/W2028995298","https://openalex.org/W2032460509","https://openalex.org/W2045512849","https://openalex.org/W2058939725","https://openalex.org/W2061933243","https://openalex.org/W2066740458","https://openalex.org/W2068752849","https://openalex.org/W2083752029","https://openalex.org/W2086014844","https://openalex.org/W2086802962","https://openalex.org/W2086953401","https://openalex.org/W2095296627","https://openalex.org/W2106201557","https://openalex.org/W2106289236","https://openalex.org/W2117448326","https://openalex.org/W2129159757","https://openalex.org/W2142333440","https://openalex.org/W2159325249","https://openalex.org/W2188880327","https://openalex.org/W2217442075","https://openalex.org/W2304776815","https://openalex.org/W2503643158","https://openalex.org/W2511884042","https://openalex.org/W2588804292","https://openalex.org/W2609495673","https://openalex.org/W2766320618","https://openalex.org/W2788820537","https://openalex.org/W2886739333","https://openalex.org/W2951715671","https://openalex.org/W3099161711","https://openalex.org/W3101631235","https://openalex.org/W4233516996","https://openalex.org/W4241872460","https://openalex.org/W4288400169","https://openalex.org/W4289253441","https://openalex.org/W4383163877","https://openalex.org/W4399523600","https://openalex.org/W6685296884"],"related_works":["https://openalex.org/W1976207164","https://openalex.org/W2811379001","https://openalex.org/W2098495410","https://openalex.org/W2975597143","https://openalex.org/W2080981338","https://openalex.org/W179183578","https://openalex.org/W2567488862","https://openalex.org/W2747414702","https://openalex.org/W2565236036","https://openalex.org/W2342269520"],"abstract_inverted_index":{"orthoDr":[0,42],"is":[1,43],"a":[2,20,44,74,88,98],"package":[3,17,94],"in":[4],"R":[5],"that":[6,32],"solves":[7],"dimension":[8,29],"reduction":[9,30],"problems":[10,80],"using":[11],"orthogonality":[12],"constrained":[13,79],"optimization":[14,54],"approach.":[15],"The":[16,37,93],"serves":[18,96],"as":[19,87,97],"unified":[21],"framework":[22],"for":[23,53,67,77,100],"many":[24],"regression":[25],"and":[26,50,65],"survival":[27],"analysis":[28],"models":[31],"utilize":[33],"semiparametric":[34],"estimating":[35],"equations.":[36],"main":[38],"computational":[39],"machinery":[40],"of":[41,91,107],"first-order":[45],"algorithm":[46,62],"developed":[47,73],"by":[48],"Wen":[49],"Yin":[51],"(2012)":[52],"within":[55],"the":[56,61],"Stiefel":[57],"manifold.":[58],"We":[59],"implement":[60],"through":[63],"Rcpp":[64],"OpenMP":[66],"fast":[68],"computation.":[69],"In":[70],"addition,":[71],"we":[72],"general-purpose":[75],"solver":[76],"such":[78],"with":[81],"user-specified":[82],"objective":[83],"functions,":[84],"which":[85],"works":[86],"drop-in":[89],"version":[90],"optim().":[92],"also":[95],"platform":[99],"future":[101],"methodology":[102],"developments":[103],"along":[104],"this":[105],"line":[106],"work.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
