{"id":"https://openalex.org/W2056054492","doi":"https://doi.org/10.1142/s0219691310003729","title":"LOCAL LEARNING ESTIMATES BY INTEGRAL OPERATORS","display_name":"LOCAL LEARNING ESTIMATES BY INTEGRAL OPERATORS","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2056054492","doi":"https://doi.org/10.1142/s0219691310003729","mag":"2056054492"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691310003729","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691310003729","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/A5100339334","display_name":"Hong Li","orcid":"https://orcid.org/0000-0002-7400-7091"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"HONG LI","raw_affiliation_strings":["School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062177512","display_name":"Na Chen","orcid":"https://orcid.org/0000-0003-4536-6885"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"NA CHEN","raw_affiliation_strings":["School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085140523","display_name":"Yuan Yan Tang","orcid":"https://orcid.org/0000-0002-6887-130X"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YUAN Y. TANG","raw_affiliation_strings":["Center for Pattern Recognition and Information Intelligence, Chongqing University, Chongqing 400044, P. R. China"],"affiliations":[{"raw_affiliation_string":"Center for Pattern Recognition and Information Intelligence, Chongqing University, Chongqing 400044, P. R. China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100339334"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":2.231,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88874523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"08","issue":"05","first_page":"695","last_page":"712"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9898999929428101,"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/T11236","display_name":"Control Systems and Identification","score":0.9894999861717224,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7549024820327759},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7521295547485352},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6913836002349854},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5919492244720459},{"id":"https://openalex.org/keywords/empirical-risk-minimization","display_name":"Empirical risk minimization","score":0.5251060128211975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5055880546569824},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48052653670310974},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.44573238492012024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3828408420085907},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3636016845703125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32976388931274414},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32378673553466797}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7549024820327759},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7521295547485352},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6913836002349854},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5919492244720459},{"id":"https://openalex.org/C107321475","wikidata":"https://www.wikidata.org/wiki/Q5374254","display_name":"Empirical risk minimization","level":2,"score":0.5251060128211975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5055880546569824},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48052653670310974},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.44573238492012024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3828408420085907},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3636016845703125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32976388931274414},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32378673553466797},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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:10.1142/s0219691310003729","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691310003729","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":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322186","display_name":"Natural Science Foundation of Hubei Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1484867920","https://openalex.org/W1970781863","https://openalex.org/W1971829297","https://openalex.org/W2000021956","https://openalex.org/W2012501405","https://openalex.org/W2027057364","https://openalex.org/W2036553544","https://openalex.org/W2047278710","https://openalex.org/W2056763477","https://openalex.org/W2085559592","https://openalex.org/W2099210314","https://openalex.org/W2119931478","https://openalex.org/W2123845705","https://openalex.org/W2126830506","https://openalex.org/W2128584444","https://openalex.org/W2148603752","https://openalex.org/W2149614431","https://openalex.org/W2149846618","https://openalex.org/W2169163030","https://openalex.org/W4245558064"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W2371138613","https://openalex.org/W2155195660","https://openalex.org/W2177289819","https://openalex.org/W2060518740","https://openalex.org/W4367626110","https://openalex.org/W2103875979","https://openalex.org/W2262246290","https://openalex.org/W2052343155","https://openalex.org/W2539488803"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"the":[5,12,22,40,57,69],"problem":[6,23],"of":[7,14,21,24],"local":[8,30,70],"risk":[9,26,31,71],"minimization":[10],"on":[11,62],"basis":[13],"empirical":[15],"data,":[16],"which":[17],"is":[18,34,43],"a":[19],"generalization":[20],"global":[25],"minimization.":[27],"A":[28],"new":[29],"regularization":[32,72],"scheme":[33],"proposed.":[35],"The":[36],"error":[37],"estimate":[38],"for":[39,49],"proposed":[41],"algorithm":[42,73],"obtained":[44],"by":[45],"using":[46],"probabilistic":[47],"estimates":[48],"integral":[50],"operators.":[51],"Experiments":[52],"are":[53],"presented":[54],"to":[55],"illustrate":[56],"general":[58],"theory.":[59],"Simulation":[60],"results":[61],"several":[63],"artificial":[64],"real":[65],"datasets":[66],"show":[67],"that":[68],"has":[74],"better":[75],"performance.":[76]},"counts_by_year":[{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
