{"id":"https://openalex.org/W1543052250","doi":"https://doi.org/10.1007/11759966_10","title":"Integral Transform and Its Application to Neural Network Approximation","display_name":"Integral Transform and Its Application to Neural Network Approximation","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1543052250","doi":"https://doi.org/10.1007/11759966_10","mag":"1543052250"},"language":"en","primary_location":{"id":"doi:10.1007/11759966_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11759966_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5014556254","display_name":"Fengjun Li","orcid":"https://orcid.org/0000-0003-4079-2228"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng-jun Li","raw_affiliation_strings":["Faculty of Science, Institute for Information and System Science, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, P.R. China","Faculty of Science, Institute for Information and System Science, Xi'an Jiaotong University, Xi'an, 710049, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science, Institute for Information and System Science, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, P.R. China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Faculty of Science, Institute for Information and System Science, Xi'an Jiaotong University, Xi'an, 710049, P.R. China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109280540","display_name":"Zongben Xu","orcid":"https://orcid.org/0000-0002-4066-2338"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongben Xu","raw_affiliation_strings":["Faculty of Science, Institute for Information and System Science, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, P.R. China","Faculty of Science, Institute for Information and System Science, Xi'an Jiaotong University, Xi'an, 710049, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science, Institute for Information and System Science, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, P.R. China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Faculty of Science, Institute for Information and System Science, Xi'an Jiaotong University, Xi'an, 710049, P.R. China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1041189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"66","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9991999864578247,"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":0.9991999864578247,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.972000002861023,"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"}},{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9629999995231628,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6975244283676147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6429694294929504},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6100102066993713},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5928146243095398},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.567366898059845},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5025968551635742},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.48059985041618347},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.4614841341972351},{"id":"https://openalex.org/keywords/minimax-approximation-algorithm","display_name":"Minimax approximation algorithm","score":0.44723325967788696},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3864920735359192},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37209200859069824},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3204577565193176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30288583040237427},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1759740710258484},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06361138820648193}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6975244283676147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6429694294929504},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6100102066993713},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5928146243095398},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.567366898059845},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5025968551635742},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.48059985041618347},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.4614841341972351},{"id":"https://openalex.org/C117148685","wikidata":"https://www.wikidata.org/wiki/Q6865376","display_name":"Minimax approximation algorithm","level":2,"score":0.44723325967788696},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3864920735359192},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37209200859069824},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3204577565193176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30288583040237427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1759740710258484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06361138820648193},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11759966_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11759966_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1971735090","https://openalex.org/W1983767920","https://openalex.org/W2009566405","https://openalex.org/W2011090143","https://openalex.org/W2026307262","https://openalex.org/W2027016402","https://openalex.org/W2032814004","https://openalex.org/W2166116275"],"related_works":["https://openalex.org/W2087686193","https://openalex.org/W2737349826","https://openalex.org/W2314644317","https://openalex.org/W2171221472","https://openalex.org/W1970691912","https://openalex.org/W2595727203","https://openalex.org/W2044115164","https://openalex.org/W2156766998","https://openalex.org/W1813603268","https://openalex.org/W2014137052"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}