{"id":"https://openalex.org/W2803556218","doi":"https://doi.org/10.1142/s0219691318500431","title":"Simultaneous estimations of optimal directions and optimal transformations for functional data","display_name":"Simultaneous estimations of optimal directions and optimal transformations for functional data","publication_year":2018,"publication_date":"2018-05-14","ids":{"openalex":"https://openalex.org/W2803556218","doi":"https://doi.org/10.1142/s0219691318500431","mag":"2803556218"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691318500431","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691318500431","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5100324393","display_name":"Heng Chen","orcid":"https://orcid.org/0000-0003-2500-8300"},"institutions":[{"id":"https://openalex.org/I90259746","display_name":"Capital University of Economics and Business","ror":"https://ror.org/01r5sf951","country_code":"CN","type":"education","lineage":["https://openalex.org/I90259746"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Heng Chen","raw_affiliation_strings":["School of Statistics, Capital University of Economics and Business, Beijing 100070, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Statistics, Capital University of Economics and Business, Beijing 100070, P. R. China","institution_ids":["https://openalex.org/I90259746"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Wei Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Huang","raw_affiliation_strings":["School of Mathematics, Hefei University of Technology, Hefei 230009, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hefei University of Technology, Hefei 230009, P. R. China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022224799","display_name":"Di\u2010Rong Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119942","display_name":"Wuhan Textile University","ror":"https://ror.org/02jgsf398","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119942"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Di-Rong Chen","raw_affiliation_strings":["Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China","Department of Applied Mathematics, Wuhan Textile University, Wuhan 430073, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Department of Applied Mathematics, Wuhan Textile University, Wuhan 430073, P. R. China","institution_ids":["https://openalex.org/I4210119942"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100324393"],"corresponding_institution_ids":["https://openalex.org/I90259746"],"apc_list":null,"apc_paid":null,"fwci":0.2437,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56669343,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"05","first_page":"1850043","last_page":"1850043"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9805999994277954,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9805999994277954,"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/T11236","display_name":"Control Systems and Identification","score":0.9740999937057495,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9362999796867371,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.685422420501709},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6840661764144897},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.6576335430145264},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6456055641174316},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6263850927352905},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6227591633796692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5916767120361328},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5647500157356262},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5471954345703125},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5138556957244873},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43585580587387085},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.4290148913860321},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3782377243041992},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34953773021698},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19816085696220398},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14197540283203125},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11201658844947815},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09362974762916565},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.08507302403450012}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.685422420501709},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6840661764144897},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.6576335430145264},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6456055641174316},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6263850927352905},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6227591633796692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5916767120361328},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5647500157356262},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5471954345703125},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5138556957244873},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43585580587387085},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.4290148913860321},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3782377243041992},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34953773021698},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19816085696220398},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14197540283203125},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11201658844947815},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09362974762916565},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.08507302403450012},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691318500431","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691318500431","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5962930529","display_name":null,"funder_award_id":"91538112","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5991813694","display_name":null,"funder_award_id":"11501380","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G743524328","display_name":null,"funder_award_id":"11571267","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1967700974","https://openalex.org/W1970781863","https://openalex.org/W1972193544","https://openalex.org/W2003585400","https://openalex.org/W2014279061","https://openalex.org/W2017332415","https://openalex.org/W2027717478","https://openalex.org/W2030219534","https://openalex.org/W2080981338","https://openalex.org/W2089322632","https://openalex.org/W2156204103","https://openalex.org/W2161365042","https://openalex.org/W2163490846","https://openalex.org/W2757512748","https://openalex.org/W3099978158","https://openalex.org/W4245558064"],"related_works":["https://openalex.org/W4234882900","https://openalex.org/W4387349426","https://openalex.org/W2940361845","https://openalex.org/W4248396893","https://openalex.org/W3118393464","https://openalex.org/W4243330733","https://openalex.org/W1975708617","https://openalex.org/W3101749733","https://openalex.org/W3131787954","https://openalex.org/W50698531"],"abstract_inverted_index":{"Sliced":[0],"inverse":[1],"regression":[2],"(SIR)":[3],"is":[4,19,76],"a":[5,11,22,54],"powerful":[6],"method":[7],"to":[8,21],"deal":[9],"with":[10],"dimension":[12],"reduction":[13],"model.":[14],"As":[15],"well":[16],"known,":[17],"SIR":[18],"equivalent":[20],"transformation-based":[23],"projection":[24],"pursuit,":[25],"where":[26],"the":[27,32,61,64,79],"optimal":[28,44,50],"directions":[29,33,45,62],"are":[30,66],"just":[31],"in":[34],"SIR.":[35],"In":[36],"this":[37],"paper,":[38],"we":[39],"consider":[40],"simultaneous":[41],"estimations":[42],"of":[43],"for":[46,78],"functional":[47],"data":[48],"and":[49,63],"transformations.":[51],"We":[52],"take":[53],"reproducing":[55,69],"kernel":[56,70],"Hilbert":[57,71],"space":[58],"approach.":[59],"Both":[60],"transformations":[65],"chosen":[67],"from":[68],"spaces.":[72],"A":[73],"learning":[74],"rate":[75],"established":[77],"estimators.":[80]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}