{"id":"https://openalex.org/W242422246","doi":"https://doi.org/10.1023/a:1018966213079","title":"Generalization bounds for function approximation from scattered noisy data","display_name":"Generalization bounds for function approximation from scattered noisy data","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W242422246","doi":"https://doi.org/10.1023/a:1018966213079","mag":"242422246"},"language":"en","primary_location":{"id":"doi:10.1023/a:1018966213079","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018966213079","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","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":"https://openalex.org/A5005785891","display_name":"Partha Niyogi","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Partha Niyogi","raw_affiliation_strings":["Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071218634","display_name":"Federico Girosi","orcid":"https://orcid.org/0000-0003-3937-2285"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Federico Girosi","raw_affiliation_strings":["Center for Biological and Computational Learning Massachusetts Institute of Technology, Cambridge, USA"],"affiliations":[{"raw_affiliation_string":"Center for Biological and Computational Learning Massachusetts Institute of Technology, Cambridge, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005785891"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.265,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.93317511,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"1","first_page":"51","last_page":"80"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9980000257492065,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9980000257492065,"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/T10320","display_name":"Neural Networks and Applications","score":0.9973999857902527,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9962000250816345,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.731769323348999},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7222387790679932},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6939455270767212},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.5675307512283325},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5576881766319275},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5557156801223755},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5003969669342041},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.43207815289497375},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.41824018955230713},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41705283522605896},{"id":"https://openalex.org/keywords/perceptron","display_name":"Perceptron","score":0.41517138481140137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28174301981925964},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2754454016685486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15367788076400757},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.11551803350448608},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06893929839134216}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.731769323348999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7222387790679932},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6939455270767212},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.5675307512283325},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5576881766319275},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5557156801223755},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5003969669342041},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.43207815289497375},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.41824018955230713},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41705283522605896},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.41517138481140137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28174301981925964},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2754454016685486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15367788076400757},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.11551803350448608},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06893929839134216}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1018966213079","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018966213079","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1488877410","https://openalex.org/W1512638263","https://openalex.org/W1524100745","https://openalex.org/W1530699444","https://openalex.org/W1546846082","https://openalex.org/W1965720095","https://openalex.org/W1971735090","https://openalex.org/W1973631422","https://openalex.org/W1986826486","https://openalex.org/W1990261069","https://openalex.org/W2002023932","https://openalex.org/W2004485838","https://openalex.org/W2006240266","https://openalex.org/W2010029425","https://openalex.org/W2029538739","https://openalex.org/W2032814004","https://openalex.org/W2039402388","https://openalex.org/W2041613709","https://openalex.org/W2044828368","https://openalex.org/W2051968241","https://openalex.org/W2058538513","https://openalex.org/W2075407161","https://openalex.org/W2079224763","https://openalex.org/W2084544490","https://openalex.org/W2086472796","https://openalex.org/W2101927907","https://openalex.org/W2103116581","https://openalex.org/W2103496339","https://openalex.org/W2108959409","https://openalex.org/W2112027492","https://openalex.org/W2137983211","https://openalex.org/W2143956139","https://openalex.org/W2154657307","https://openalex.org/W2166116275","https://openalex.org/W2171277043","https://openalex.org/W2251490743","https://openalex.org/W2914369697","https://openalex.org/W3146803896","https://openalex.org/W4237171445","https://openalex.org/W4238284510","https://openalex.org/W4244829582","https://openalex.org/W4248223712","https://openalex.org/W4292025355","https://openalex.org/W4300402905"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W154868527","https://openalex.org/W1494268238","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W1976468483","https://openalex.org/W2096715552","https://openalex.org/W1598419248","https://openalex.org/W2502272432"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}
