{"id":"https://openalex.org/W2245469773","doi":"https://doi.org/10.1142/s0219691315500472","title":"Application of integral operator for vector-valued regression learning","display_name":"Application of integral operator for vector-valued regression learning","publication_year":2015,"publication_date":"2015-10-13","ids":{"openalex":"https://openalex.org/W2245469773","doi":"https://doi.org/10.1142/s0219691315500472","mag":"2245469773"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691315500472","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691315500472","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/A5000463753","display_name":"Yuanxin Ma","orcid":"https://orcid.org/0009-0000-8470-9807"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanxin Ma","raw_affiliation_strings":["School of Mathematical Science, University of Jinan, Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Jinan 250022, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, University of Jinan, Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Jinan 250022, P. R. China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029471997","display_name":"Hongwei Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongwei Sun","raw_affiliation_strings":["School of Mathematical Science, University of Jinan, Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Jinan 250022, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, University of Jinan, Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Jinan 250022, P. R. China","institution_ids":["https://openalex.org/I34949971"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029471997"],"corresponding_institution_ids":["https://openalex.org/I34949971"],"apc_list":null,"apc_paid":null,"fwci":0.6464,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7068049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"13","issue":"06","first_page":"1550047","last_page":"1550047"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.7108794450759888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6287988424301147},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5823906064033508},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5723540186882019},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5644811391830444},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34619131684303284},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.325839102268219},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2643318772315979}],"concepts":[{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.7108794450759888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6287988424301147},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5823906064033508},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5723540186882019},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5644811391830444},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34619131684303284},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.325839102268219},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2643318772315979},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691315500472","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691315500472","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":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W99485931","https://openalex.org/W1970781863","https://openalex.org/W2011843394","https://openalex.org/W2014857453","https://openalex.org/W2017332415","https://openalex.org/W2017753243","https://openalex.org/W2027057364","https://openalex.org/W2044421224","https://openalex.org/W2047278710","https://openalex.org/W2054448544","https://openalex.org/W2055872486","https://openalex.org/W2110652811","https://openalex.org/W2115003579","https://openalex.org/W2130903752","https://openalex.org/W2143104527","https://openalex.org/W2143419558","https://openalex.org/W2579923771","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2018264451","https://openalex.org/W4212827636","https://openalex.org/W2591253179","https://openalex.org/W4287671600","https://openalex.org/W2141366819","https://openalex.org/W3004408979","https://openalex.org/W1624074132","https://openalex.org/W3210788098","https://openalex.org/W1159295707","https://openalex.org/W4387349426"],"abstract_inverted_index":{"In":[0,28],"this":[1,29],"paper,":[2],"the":[3,14,25,31,42,66,79],"regression":[4],"learning":[5,18,26,72],"algorithm":[6],"with":[7,48],"vector-valued":[8,60],"RKHS":[9,44],"is":[10],"studied.":[11],"We":[12],"motivate":[13],"need":[15],"for":[16],"extending":[17],"theory":[19],"of":[20,46,59,78],"scalar-valued":[21],"functions":[22,47],"and":[23,71],"analze":[24],"performance.":[27],"setting,":[30],"output":[32],"data":[33],"are":[34,74],"from":[35],"a":[36],"Hilbert":[37],"space":[38],"[Formula:":[39,52,63],"see":[40,53,64],"text],":[41,65],"associated":[43],"consists":[45],"values":[49],"lie":[50],"in":[51],"text].":[54],"By":[55],"providing":[56],"mathematical":[57],"aspects":[58],"integral":[61,80],"operator":[62,81],"capacity":[67],"independent":[68],"error":[69],"bounds":[70],"rates":[73],"derived":[75],"by":[76],"means":[77],"technique.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
