{"id":"https://openalex.org/W1586117775","doi":"https://doi.org/10.1007/978-3-540-77566-9_47","title":"Geometric Rates of Approximation by Neural Networks","display_name":"Geometric Rates of Approximation by Neural Networks","publication_year":2008,"publication_date":"2008-01-05","ids":{"openalex":"https://openalex.org/W1586117775","doi":"https://doi.org/10.1007/978-3-540-77566-9_47","mag":"1586117775"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77566-9_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77566-9_47","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/A5041761117","display_name":"V\u011bra K\u016frkov\u00e1","orcid":"https://orcid.org/0000-0002-8181-2128"},"institutions":[{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]},{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"funder","lineage":["https://openalex.org/I202391551"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"V\u011bra K\u016frkov\u00e1","raw_affiliation_strings":["Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod Vod\u00e1renskou v\u011b\u017e\u00ed\u00a0 2, Prague 8, Czech Republic","Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague 8, Czech Republic#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod Vod\u00e1renskou v\u011b\u017e\u00ed\u00a0 2, Prague 8, Czech Republic","institution_ids":["https://openalex.org/I4210155092"]},{"raw_affiliation_string":"Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague 8, Czech Republic#TAB#","institution_ids":["https://openalex.org/I202391551"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086009293","display_name":"Marcello Sanguineti","orcid":"https://orcid.org/0000-0003-0355-8483"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marcello Sanguineti","raw_affiliation_strings":["Department of Communications, Computer, and System Sciences (DIST), University of Genova, Via Opera Pia 13, 16145, Genova, Italy","Department of Communications, Computer, and System Sciences, University of Genova, Genova, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Communications, Computer, and System Sciences (DIST), University of Genova, Via Opera Pia 13, 16145, Genova, Italy","institution_ids":["https://openalex.org/I83816512"]},{"raw_affiliation_string":"Department of Communications, Computer, and System Sciences, University of Genova, Genova, Italy#TAB#","institution_ids":["https://openalex.org/I83816512"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041761117"],"corresponding_institution_ids":["https://openalex.org/I202391551","https://openalex.org/I4210155092"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2788,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56065844,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"541","last_page":"550"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9948999881744385,"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":0.9948999881744385,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9596999883651733,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.6885173320770264},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5549846887588501},{"id":"https://openalex.org/keywords/feedforward-neural-network","display_name":"Feedforward neural network","score":0.5330718159675598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5153088569641113},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.502202033996582},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4619693160057068},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.4374629855155945},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.42257118225097656},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4187372922897339},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3908863067626953},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3842287063598633},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33409470319747925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25573045015335083},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22898399829864502}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6885173320770264},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5549846887588501},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.5330718159675598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5153088569641113},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.502202033996582},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4619693160057068},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.4374629855155945},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.42257118225097656},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4187372922897339},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3908863067626953},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3842287063598633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33409470319747925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25573045015335083},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22898399829864502},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-77566-9_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77566-9_47","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"},{"id":"pmh:oai:iris.unige.it:11567/233175","is_oa":false,"landing_page_url":"https://hdl.handle.net/11567/233175","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W629538245","https://openalex.org/W1993349006","https://openalex.org/W2004485838","https://openalex.org/W2018166535","https://openalex.org/W2044828368","https://openalex.org/W2052100548","https://openalex.org/W2132314398","https://openalex.org/W2161193227","https://openalex.org/W2166116275","https://openalex.org/W2215331545","https://openalex.org/W2504154039","https://openalex.org/W4299521717"],"related_works":["https://openalex.org/W2171221472","https://openalex.org/W3177870706","https://openalex.org/W2498835000","https://openalex.org/W2096285364","https://openalex.org/W2737349826","https://openalex.org/W3119645134","https://openalex.org/W3124157877","https://openalex.org/W3113145869","https://openalex.org/W2087686193","https://openalex.org/W2047048571"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}