{"id":"https://openalex.org/W1541328469","doi":"https://doi.org/10.1109/ijcnn.2003.1223303","title":"Automatic basis selection for RBF networks using Stein's unbiased risk estimator","display_name":"Automatic basis selection for RBF networks using Stein's unbiased risk estimator","publication_year":2004,"publication_date":"2004-02-03","ids":{"openalex":"https://openalex.org/W1541328469","doi":"https://doi.org/10.1109/ijcnn.2003.1223303","mag":"1541328469"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2003.1223303","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223303","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Joint Conference on Neural Networks, 2003.","raw_type":"proceedings-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/A5040035859","display_name":"Ali Ghodsi","orcid":"https://orcid.org/0000-0003-1866-246X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"A. Ghodsi","raw_affiliation_strings":["School of Computer Science, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010575626","display_name":"Dale Schuurmans","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"D. Schuurmans","raw_affiliation_strings":["School of Computer Science, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040035859"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06420982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"91","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9911999702453613,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.8072485327720642},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.7189236283302307},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6652035117149353},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.6343121528625488},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6101345419883728},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6005789041519165},{"id":"https://openalex.org/keywords/radial-basis-function-network","display_name":"Radial basis function network","score":0.5862573385238647},{"id":"https://openalex.org/keywords/orthogonal-basis","display_name":"Orthogonal basis","score":0.4978172779083252},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.49450942873954773},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4829525351524353},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45513948798179626},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.4435027539730072},{"id":"https://openalex.org/keywords/bias-of-an-estimator","display_name":"Bias of an estimator","score":0.41673222184181213},{"id":"https://openalex.org/keywords/minimum-variance-unbiased-estimator","display_name":"Minimum-variance unbiased estimator","score":0.4091182053089142},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4018617868423462},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3965260982513428},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33402639627456665},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22094953060150146}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.8072485327720642},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.7189236283302307},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6652035117149353},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.6343121528625488},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6101345419883728},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6005789041519165},{"id":"https://openalex.org/C132917294","wikidata":"https://www.wikidata.org/wiki/Q2679684","display_name":"Radial basis function network","level":4,"score":0.5862573385238647},{"id":"https://openalex.org/C187064257","wikidata":"https://www.wikidata.org/wiki/Q3306808","display_name":"Orthogonal basis","level":2,"score":0.4978172779083252},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.49450942873954773},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4829525351524353},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45513948798179626},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.4435027539730072},{"id":"https://openalex.org/C191393472","wikidata":"https://www.wikidata.org/wiki/Q15222032","display_name":"Bias of an estimator","level":4,"score":0.41673222184181213},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.4091182053089142},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4018617868423462},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3965260982513428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33402639627456665},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22094953060150146},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ijcnn.2003.1223303","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223303","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Joint Conference on Neural Networks, 2003.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.122.1996","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.122.1996","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ualberta.ca/~papersdb/uploaded_files/801/paper_automatic-basis-selection-for.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"display_name":"No poverty","id":"https://metadata.un.org/sdg/1"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W94523489","https://openalex.org/W1524100745","https://openalex.org/W1554663460","https://openalex.org/W1570834090","https://openalex.org/W2025357764","https://openalex.org/W2052418342","https://openalex.org/W2054640142","https://openalex.org/W2079325629","https://openalex.org/W2140170995","https://openalex.org/W2159265133","https://openalex.org/W2171277043","https://openalex.org/W4388297464","https://openalex.org/W6631321490"],"related_works":["https://openalex.org/W2349547417","https://openalex.org/W4210503132","https://openalex.org/W2999390738","https://openalex.org/W2023699039","https://openalex.org/W2352602506","https://openalex.org/W3092888124","https://openalex.org/W4239491110","https://openalex.org/W2368191880","https://openalex.org/W2117883803","https://openalex.org/W2133564216"],"abstract_inverted_index":{"The":[0,141],"problem":[1],"of":[2,7,65,86,112,132,143],"selecting":[3],"the":[4,35,66,69,84,94,109,129],"appropriate":[5,110],"number":[6,85,111,131],"basis":[8,16,27,49,87,113,133],"functions":[9,50,134],"is":[10,58,80,146],"a":[11,104,124,138],"critical":[12],"issue":[13],"for":[14,107,137],"radial":[15],"function":[17,88],"neural":[18],"networks.":[19],"An":[20],"RBF":[21,44],"network":[22,45],"with":[23,46],"an":[24,43],"overlay":[25],"restricted":[26],"gives":[28,52],"poor":[29,53],"predictions":[30],"on":[31,68],"new":[32],"data,":[33],"since":[34,56],"model":[36],"has":[37],"too":[38,47,59,63],"little":[39],"flexibility.":[40],"By":[41],"contrast,":[42],"many":[48],"also":[51],"generalization":[54],"performance":[55],"it":[57,79],"flexible":[60],"and":[61,73,78],"fits":[62],"much":[64],"noise":[67],"training":[70],"data.":[71],"Bias":[72],"variance":[74],"are":[75],"complementary":[76],"quantities,":[77],"necessary":[81],"to":[82,92,122,135],"assign":[83],"optimally":[89],"in":[90],"order":[91],"achieve":[93],"best":[95],"compromise":[96],"between":[97],"them.":[98],"In":[99],"this":[100,144],"paper":[101],"we":[102],"derive":[103],"theoretical":[105],"criterion":[106,126,145],"assigning":[108],"functions.":[114],"We":[115],"use":[116,136],"Stein's":[117],"unbiased":[118],"risk":[119],"estimator":[120],"(SURE)":[121],"drive":[123],"genetic":[125],"that":[127],"defines":[128],"optimum":[130],"given":[139],"problem.":[140],"efficacy":[142],"illustrated":[147],"experimentally.":[148]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
