{"id":"https://openalex.org/W4404838910","doi":"https://doi.org/10.1142/s0219691324500589","title":"Deterministic error analysis of kernel regularized regression for spherical scattered data","display_name":"Deterministic error analysis of kernel regularized regression for spherical scattered data","publication_year":2024,"publication_date":"2024-11-29","ids":{"openalex":"https://openalex.org/W4404838910","doi":"https://doi.org/10.1142/s0219691324500589"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691324500589","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691324500589","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":null,"display_name":"Wan Li","orcid":"https://orcid.org/0000-0003-0472-8712"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wan Li","raw_affiliation_strings":["School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-0472-8712","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023291354","display_name":"Yeli Niu","orcid":"https://orcid.org/0009-0006-7063-3817"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yeli Niu","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"],"raw_orcid":"https://orcid.org/0009-0006-7063-3817","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085002510","display_name":"Baohuai Sheng","orcid":"https://orcid.org/0000-0002-2946-9174"},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baohuai Sheng","raw_affiliation_strings":["Department of Economic Statistics, School of International Business, Zhejiang Yuexiu University, Shaoxing 312000, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-2946-9174","affiliations":[{"raw_affiliation_string":"Department of Economic Statistics, School of International Business, Zhejiang Yuexiu University, Shaoxing 312000, P. R. China","institution_ids":["https://openalex.org/I192209268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010523186","display_name":"Peixin Ye","orcid":"https://orcid.org/0000-0002-4706-3223"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peixin Ye","raw_affiliation_strings":["School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-4706-3223","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7511,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70725123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"23","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9628999829292297,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9628999829292297,"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/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9196000099182129,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/mathematics","display_name":"Mathematics","score":0.7102757692337036},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5436155200004578},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5285217761993408},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.5062674283981323},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.4902856647968292},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.37438565492630005},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3330385088920593},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15925490856170654}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7102757692337036},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5436155200004578},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5285217761993408},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.5062674283981323},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.4902856647968292},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.37438565492630005},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3330385088920593},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15925490856170654}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691324500589","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691324500589","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/G2884796713","display_name":null,"funder_award_id":"12201412","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":39,"referenced_works":["https://openalex.org/W1486164486","https://openalex.org/W1972445139","https://openalex.org/W1980350398","https://openalex.org/W1986280275","https://openalex.org/W1991101255","https://openalex.org/W1996710757","https://openalex.org/W2002528573","https://openalex.org/W2009611581","https://openalex.org/W2016084178","https://openalex.org/W2017332415","https://openalex.org/W2028550852","https://openalex.org/W2061769755","https://openalex.org/W2061807563","https://openalex.org/W2065658783","https://openalex.org/W2076577157","https://openalex.org/W2089245375","https://openalex.org/W2121158230","https://openalex.org/W2138572931","https://openalex.org/W2252373205","https://openalex.org/W2266252408","https://openalex.org/W2611021540","https://openalex.org/W2896405912","https://openalex.org/W2963193705","https://openalex.org/W2964033869","https://openalex.org/W2977330234","https://openalex.org/W3097409311","https://openalex.org/W4245558064","https://openalex.org/W4280499467","https://openalex.org/W4307452312","https://openalex.org/W4313149200","https://openalex.org/W4377694784","https://openalex.org/W4392303566","https://openalex.org/W4392383430","https://openalex.org/W4392387551","https://openalex.org/W4397014661","https://openalex.org/W4398243663","https://openalex.org/W4399337197","https://openalex.org/W4399548560","https://openalex.org/W4401684279"],"related_works":["https://openalex.org/W4381136829","https://openalex.org/W31220157","https://openalex.org/W2312753042","https://openalex.org/W4289356671","https://openalex.org/W2389155397","https://openalex.org/W2165884543","https://openalex.org/W3186837933","https://openalex.org/W2368989808","https://openalex.org/W1969346022","https://openalex.org/W2034959125"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,62],"investigate":[4],"the":[5,15,20,33,37,42,51,64,89,96,100,104,107,115,122,142],"deterministic":[6,29,127,145],"learning":[7,25,66,83,90,123],"problem":[8],"associated":[9,27],"with":[10,28,126,132],"spherical":[11,38,55,146],"scattered":[12,30,101],"data":[13,31,102],"for":[14,141],"first":[16],"time.":[17],"We":[18],"design":[19,71],"quadrature-weighted":[21],"kernel":[22],"regularized":[23],"regression":[24],"schemes":[26],"on":[32],"unit":[34],"sphere":[35],"and":[36,47,72,103,157],"cap.":[39],"By":[40],"employing":[41],"minimal":[43],"norm":[44,98],"interpolation":[45],"technique":[46],"leveraging":[48],"results":[49,137],"from":[50,77],"numerical":[52],"integration":[53],"of":[54,99,106,144],"radial":[56,108,116],"basis":[57,109,117],"functions":[58],"over":[59],"these":[60],"surfaces,":[61],"derive":[63],"corresponding":[65],"rates.":[67],"Notably,":[68],"our":[69,136],"algorithm":[70],"error":[73],"analysis":[74],"methods":[75],"diverge":[76],"those":[78],"typically":[79],"employed":[80],"in":[81,153],"randomized":[82],"algorithms.":[84],"Our":[85],"findings":[86],"suggest":[87],"that":[88,113,130],"rates":[91],"are":[92],"influenced":[93],"by":[94],"both":[95],"mesh":[97],"smoothness":[105],"function.":[110],"This":[111],"implies":[112],"when":[114],"function":[118],"exhibits":[119],"sufficient":[120],"smoothness,":[121],"rate":[124],"achieved":[125],"samples":[128],"outperforms":[129],"obtained":[131],"random":[133],"samples.":[134],"Furthermore,":[135],"provide":[138],"theoretical":[139],"support":[140],"feasibility":[143],"learning,":[147],"which":[148],"may":[149],"bring":[150],"potential":[151],"applications":[152],"tectonic":[154],"plate":[155],"geology":[156],"Earth":[158],"sciences.":[159]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}