{"id":"https://openalex.org/W1777388371","doi":"https://doi.org/10.1109/ijcnn.2003.1223387","title":"Finding optimal neural network basis function subsets using the Schmidt procedure","display_name":"Finding optimal neural network basis function subsets using the Schmidt procedure","publication_year":2004,"publication_date":"2004-03-02","ids":{"openalex":"https://openalex.org/W1777388371","doi":"https://doi.org/10.1109/ijcnn.2003.1223387","mag":"1777388371"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2003.1223387","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223387","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/A5103714978","display_name":"Francisco J. Maldonado","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"F.J. Maldonado","raw_affiliation_strings":["Chihuahua Institute of Technology, Chihuahua, Mexico","[Chihuahua Institute of Technology, Mexico]"],"affiliations":[{"raw_affiliation_string":"Chihuahua Institute of Technology, Chihuahua, Mexico","institution_ids":[]},{"raw_affiliation_string":"[Chihuahua Institute of Technology, Mexico]","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114046112","display_name":"M.T. Manry","orcid":null},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M.T. Manry","raw_affiliation_strings":["Electrical Engineering Department, University of Texas, Arlington, Arlington, TX, USA","Department of Electrical Engineering"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Texas, Arlington, Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]},{"raw_affiliation_string":"Department of Electrical Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100379045","display_name":"Taehoon Kim","orcid":"https://orcid.org/0000-0003-1819-968X"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tae-Hoon Kim","raw_affiliation_strings":["Electrical Engineering Department, University of Texas, Arlington, Arlington, TX, USA","University of Texas at Arlington"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Texas, Arlington, Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]},{"raw_affiliation_string":"University of Texas at Arlington","institution_ids":["https://openalex.org/I189196454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103714978"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1479,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91676502,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"1","issue":null,"first_page":"444","last_page":"449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9954000115394592,"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/T12169","display_name":"Non-Destructive Testing Techniques","score":0.9786999821662903,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/orthonormal-basis","display_name":"Orthonormal basis","score":0.9142441749572754},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.7410555481910706},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.7124741077423096},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5889101028442383},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5503706932067871},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.5438849925994873},{"id":"https://openalex.org/keywords/feedforward-neural-network","display_name":"Feedforward neural network","score":0.5170577168464661},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5070316791534424},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45136192440986633},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4504550099372864},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44067469239234924},{"id":"https://openalex.org/keywords/orthonormality","display_name":"Orthonormality","score":0.42495816946029663},{"id":"https://openalex.org/keywords/orthogonal-basis","display_name":"Orthogonal basis","score":0.4185147285461426},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3876713216304779},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3739519715309143}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.9142441749572754},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.7410555481910706},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.7124741077423096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5889101028442383},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5503706932067871},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.5438849925994873},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.5170577168464661},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5070316791534424},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45136192440986633},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4504550099372864},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44067469239234924},{"id":"https://openalex.org/C92951342","wikidata":"https://www.wikidata.org/wiki/Q1411166","display_name":"Orthonormality","level":3,"score":0.42495816946029663},{"id":"https://openalex.org/C187064257","wikidata":"https://www.wikidata.org/wiki/Q3306808","display_name":"Orthogonal basis","level":2,"score":0.4185147285461426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3876713216304779},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3739519715309143},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2003.1223387","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223387","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1540849649","https://openalex.org/W1587467905","https://openalex.org/W1978626680","https://openalex.org/W1981111501","https://openalex.org/W2020416411","https://openalex.org/W2095738586","https://openalex.org/W2106915428","https://openalex.org/W2138149909","https://openalex.org/W2145085734","https://openalex.org/W2149494476","https://openalex.org/W2153904408"],"related_works":["https://openalex.org/W1547339931","https://openalex.org/W2004773025","https://openalex.org/W2038713466","https://openalex.org/W3106443019","https://openalex.org/W2078597522","https://openalex.org/W2055144662","https://openalex.org/W4388372543","https://openalex.org/W4247890333","https://openalex.org/W2096954214","https://openalex.org/W1976397437"],"abstract_inverted_index":{"In":[0,18,31,49,65],"designing":[1],"feedforward":[2],"neural":[3],"networks,":[4],"one":[5,61],"often":[6],"trains":[7],"a":[8,63],"large":[9],"network":[10],"and":[11,42,59,88],"then":[12],"prunes":[13],"less":[14],"useful":[15],"hidden":[16],"units.":[17],"this":[19],"paper,":[20],"two":[21],"non-heuristic":[22],"pruning":[23],"algorithms":[24],"are":[25,38,57,95],"derived":[26],"from":[27],"the":[28,46,50,53,68],"Schmidt":[29],"procedure.":[30],"both,":[32],"orthonormal":[33,54,72],"systems":[34],"of":[35,71,83],"basis":[36,55,73,84],"functions":[37,56,74,85],"found,":[39],"ordered,":[40],"pruned,":[41],"mapped":[43],"back":[44],"to":[45],"original":[47],"network.":[48,80],"first":[51],"algorithm,":[52],"found":[58,76],"ordered":[60],"at":[62],"time.":[64],"optimal":[66],"pruning,":[67],"best":[69],"subset":[70],"is":[75,86,91],"for":[77],"each":[78],"size":[79],"Linear":[81],"dependency":[82],"considered":[87],"computational":[89],"cost":[90],"analyzed.":[92],"Simulation":[93],"results":[94],"given.":[96]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}