{"id":"https://openalex.org/W1597810135","doi":"https://doi.org/10.1023/a:1007601601278","title":"Upper and Lower Bounds on the Learning Curve for Gaussian Processes","display_name":"Upper and Lower Bounds on the Learning Curve for Gaussian Processes","publication_year":2000,"publication_date":"2000-07-01","ids":{"openalex":"https://openalex.org/W1597810135","doi":"https://doi.org/10.1023/a:1007601601278","mag":"1597810135"},"language":"en","primary_location":{"id":"doi:10.1023/a:1007601601278","is_oa":true,"landing_page_url":"https://doi.org/10.1023/a:1007601601278","pdf_url":"https://link.springer.com/content/pdf/10.1023/A:1007601601278.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1023/A:1007601601278.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080713659","display_name":"Christopher K. I. Williams","orcid":"https://orcid.org/0000-0002-6270-4703"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Christopher K.I. Williams","raw_affiliation_strings":["Division of Informatics, The University of Edinburgh, 5 Forrest Hill, Edinburgh, EH1 2QL, Scotland, UK","Division of Informatics, The University of Edinburgh, 5 Forrest Hill, Edinburgh EH1 2QL, Scotland, UK. ckiw@dai.ed.ac.uk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Informatics, The University of Edinburgh, 5 Forrest Hill, Edinburgh, EH1 2QL, Scotland, UK","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"Division of Informatics, The University of Edinburgh, 5 Forrest Hill, Edinburgh EH1 2QL, Scotland, UK. ckiw@dai.ed.ac.uk","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006807101","display_name":"Francesco Vivarelli","orcid":null},"institutions":[{"id":"https://openalex.org/I169199633","display_name":"Aston University","ror":"https://ror.org/05j0ve876","country_code":"GB","type":"education","lineage":["https://openalex.org/I169199633"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Francesco Vivarelli","raw_affiliation_strings":["Neural Computing Research Group, Department of Computer Science and Applied Mathematics, Aston University, Birmingham, B4 7ET, UK","Neural Computing Research Group, Department of Computer Science and Applied Mathematics, Aston University, Birmingham B4 7ET, UK. vivarelf@aston.ac.uk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Neural Computing Research Group, Department of Computer Science and Applied Mathematics, Aston University, Birmingham, B4 7ET, UK","institution_ids":["https://openalex.org/I169199633"]},{"raw_affiliation_string":"Neural Computing Research Group, Department of Computer Science and Applied Mathematics, Aston University, Birmingham B4 7ET, UK. vivarelf@aston.ac.uk","institution_ids":["https://openalex.org/I169199633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.7758,"has_fulltext":true,"cited_by_count":57,"citation_normalized_percentile":{"value":0.70856698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"40","issue":"1","first_page":"77","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9902999997138977,"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/smoothness","display_name":"Smoothness","score":0.7217740416526794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6783257126808167},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.6261953711509705},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5743170976638794},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5697574615478516},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.4949735999107361},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43203556537628174},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24066844582557678},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18150576949119568}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7217740416526794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6783257126808167},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6261953711509705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5743170976638794},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5697574615478516},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.4949735999107361},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43203556537628174},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24066844582557678},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18150576949119568}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1023/a:1007601601278","is_oa":true,"landing_page_url":"https://doi.org/10.1023/a:1007601601278","pdf_url":"https://link.springer.com/content/pdf/10.1023/A:1007601601278.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},{"id":"pmh:oai:publications.aston.ac.uk:1236","is_oa":true,"landing_page_url":null,"pdf_url":"https://publications.aston.ac.uk/id/eprint/1236/1/NCRG_98_015.pdf","source":{"id":"https://openalex.org/S4306400483","display_name":"Aston Publications Explorer (Aston University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169199633","host_organization_name":"Aston University","host_organization_lineage":["https://openalex.org/I169199633"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1023/a:1007601601278","is_oa":true,"landing_page_url":"https://doi.org/10.1023/a:1007601601278","pdf_url":"https://link.springer.com/content/pdf/10.1023/A:1007601601278.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1597810135.pdf","grobid_xml":"https://content.openalex.org/works/W1597810135.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W43459774","https://openalex.org/W124267633","https://openalex.org/W181198635","https://openalex.org/W1505043854","https://openalex.org/W1510444525","https://openalex.org/W1543996294","https://openalex.org/W1550570395","https://openalex.org/W1567512734","https://openalex.org/W1667165204","https://openalex.org/W1990645294","https://openalex.org/W2018044188","https://openalex.org/W2019363670","https://openalex.org/W2038774192","https://openalex.org/W2048209332","https://openalex.org/W2059229958","https://openalex.org/W2072023818","https://openalex.org/W2084424440","https://openalex.org/W2098545770","https://openalex.org/W2118195892","https://openalex.org/W2118460912","https://openalex.org/W2142182841","https://openalex.org/W2142635246","https://openalex.org/W2154087390","https://openalex.org/W2156909104","https://openalex.org/W2157005274","https://openalex.org/W2158451137","https://openalex.org/W2290832617","https://openalex.org/W2579190672","https://openalex.org/W2797583072","https://openalex.org/W2947000318","https://openalex.org/W2983836991","https://openalex.org/W3008609509","https://openalex.org/W4230674625","https://openalex.org/W4238893454","https://openalex.org/W4249303080","https://openalex.org/W4254115559","https://openalex.org/W4285719527","https://openalex.org/W6662554897","https://openalex.org/W6678201873","https://openalex.org/W6682631133","https://openalex.org/W6684823039","https://openalex.org/W6724818412","https://openalex.org/W7028520648","https://openalex.org/W7061402073"],"related_works":["https://openalex.org/W3021068127","https://openalex.org/W2049939404","https://openalex.org/W3021415109","https://openalex.org/W2392166846","https://openalex.org/W76811607","https://openalex.org/W2265431734","https://openalex.org/W1848405970","https://openalex.org/W2048323650","https://openalex.org/W1558188711","https://openalex.org/W4293056379"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2016-06-24T00:00:00"}