{"id":"https://openalex.org/W1562931283","doi":"https://doi.org/10.1007/978-3-540-27819-1_18","title":"A Function Representation for Learning in Banach Spaces","display_name":"A Function Representation for Learning in Banach Spaces","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1562931283","doi":"https://doi.org/10.1007/978-3-540-27819-1_18","mag":"1562931283"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-27819-1_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27819-1_18","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/A5002096458","display_name":"Charles A. Micchelli","orcid":null},"institutions":[{"id":"https://openalex.org/I113508548","display_name":"Albany State University","ror":"https://ror.org/01vme4277","country_code":"US","type":"education","lineage":["https://openalex.org/I113508548"]},{"id":"https://openalex.org/I392282","display_name":"University at Albany, State University of New York","ror":"https://ror.org/012zs8222","country_code":"US","type":"education","lineage":["https://openalex.org/I392282"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Charles A. Micchelli","raw_affiliation_strings":["Department of Mathematics and Statistics, State University of New York, The University at Albany, 1400 Washington Avenue, Albany, NY, 12222, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, State University of New York, The University at Albany, 1400 Washington Avenue, Albany, NY, 12222, USA","institution_ids":["https://openalex.org/I392282","https://openalex.org/I113508548"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034260726","display_name":"Massimiliano Pontil","orcid":"https://orcid.org/0000-0001-9415-098X"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Massimiliano Pontil","raw_affiliation_strings":["Department of Computer Sciences, University College London, Gower Street, WC1E 6BT, London, England, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, University College London, Gower Street, WC1E 6BT, London, England, UK","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002096458"],"corresponding_institution_ids":["https://openalex.org/I113508548","https://openalex.org/I392282"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.0457,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.88286067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"255","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9955999851226807,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9955999851226807,"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/T11236","display_name":"Control Systems and Identification","score":0.9948999881744385,"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/T10320","display_name":"Neural Networks and Applications","score":0.9940000176429749,"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/banach-space","display_name":"Banach space","score":0.614901065826416},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5949902534484863},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5755208730697632},{"id":"https://openalex.org/keywords/function-space","display_name":"Function space","score":0.5661049485206604},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.521872878074646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4830473065376282},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44708165526390076},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4335237741470337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4321776032447815},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.42910438776016235},{"id":"https://openalex.org/keywords/representer-theorem","display_name":"Representer theorem","score":0.4261322319507599},{"id":"https://openalex.org/keywords/banach-manifold","display_name":"Banach manifold","score":0.4208320379257202},{"id":"https://openalex.org/keywords/lp-space","display_name":"Lp space","score":0.38772135972976685},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3715745806694031},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35571807622909546},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.2095295488834381},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16825804114341736},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.116659015417099},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.06879395246505737}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.614901065826416},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5949902534484863},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5755208730697632},{"id":"https://openalex.org/C142730499","wikidata":"https://www.wikidata.org/wiki/Q934367","display_name":"Function space","level":2,"score":0.5661049485206604},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.521872878074646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4830473065376282},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44708165526390076},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4335237741470337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4321776032447815},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.42910438776016235},{"id":"https://openalex.org/C172623408","wikidata":"https://www.wikidata.org/wiki/Q7314263","display_name":"Representer theorem","level":5,"score":0.4261322319507599},{"id":"https://openalex.org/C165593952","wikidata":"https://www.wikidata.org/wiki/Q3554819","display_name":"Banach manifold","level":4,"score":0.4208320379257202},{"id":"https://openalex.org/C172294467","wikidata":"https://www.wikidata.org/wiki/Q305936","display_name":"Lp space","level":3,"score":0.38772135972976685},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3715745806694031},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35571807622909546},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.2095295488834381},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16825804114341736},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.116659015417099},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.06879395246505737},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-27819-1_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27819-1_18","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:eprints.ucl.ac.uk.OAI2:158377","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/158377/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"     In: ShaweTaylor, J and Singer, Y, (eds.) LEARNING THEORY, PROCEEDINGS.  (pp. 255 - 269).  SPRINGER-VERLAG BERLIN (2004)     ","raw_type":"Proceedings paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W51287057","https://openalex.org/W106288804","https://openalex.org/W609235573","https://openalex.org/W1497941563","https://openalex.org/W1505624657","https://openalex.org/W1512227276","https://openalex.org/W1525041935","https://openalex.org/W1562931283","https://openalex.org/W1599297873","https://openalex.org/W1762008180","https://openalex.org/W1939376635","https://openalex.org/W1965720095","https://openalex.org/W1976791314","https://openalex.org/W2004485838","https://openalex.org/W2051968241","https://openalex.org/W2061872779","https://openalex.org/W2089933214","https://openalex.org/W2103496339","https://openalex.org/W2119451546","https://openalex.org/W2156909104","https://openalex.org/W2158581396","https://openalex.org/W2746534045","https://openalex.org/W3119651796","https://openalex.org/W3125537303","https://openalex.org/W3141432830","https://openalex.org/W4230674625","https://openalex.org/W4232946521","https://openalex.org/W4235236043","https://openalex.org/W4298876635","https://openalex.org/W4299000130","https://openalex.org/W4299521717","https://openalex.org/W4301873382"],"related_works":["https://openalex.org/W1994655188","https://openalex.org/W2392804273","https://openalex.org/W2939134861","https://openalex.org/W2624872425","https://openalex.org/W2053635157","https://openalex.org/W4234882900","https://openalex.org/W115870055","https://openalex.org/W2100537134","https://openalex.org/W2949714384","https://openalex.org/W1533674218"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}