{"id":"https://openalex.org/W2099693464","doi":"https://doi.org/10.5555/1390681.1442785","title":"Universal Multi-Task Kernels","display_name":"Universal Multi-Task Kernels","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2099693464","doi":"https://doi.org/10.5555/1390681.1442785","mag":"2099693464"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.210.7246","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.210.7246","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jmlr.org/papers/volume9/caponnetto08a/caponnetto08a.pdf","raw_type":"text"},"type":"article","indexed_in":[],"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/A5009102415","display_name":"Andrea Caponnetto","orcid":"https://orcid.org/0000-0002-6311-0667"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Andrea Caponnetto","raw_affiliation_strings":["Department of Mathematics"],"raw_orcid":"https://orcid.org/0000-0002-6311-0667","affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002096458","display_name":"Charles A. Micchelli","orcid":null},"institutions":[{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charles A. Micchelli","raw_affiliation_strings":["State University of New York ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State University of New York ,","institution_ids":["https://openalex.org/I1327163397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034260726","display_name":"Massimiliano Pontil","orcid":"https://orcid.org/0000-0001-9415-098X"},"institutions":[{"id":"https://openalex.org/I2800173700","display_name":"UCL Australia","ror":"https://ror.org/024atcf19","country_code":"AU","type":"education","lineage":["https://openalex.org/I2800173700"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Massimiliano Pontil","raw_affiliation_strings":["University college London"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University college London","institution_ids":["https://openalex.org/I2800173700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048960543","display_name":"Yiming Ying","orcid":null},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yiming Ying","raw_affiliation_strings":["University of Bristol"],"raw_orcid":"https://orcid.org/0000-0001-7345-6672","affiliations":[{"raw_affiliation_string":"University of Bristol","institution_ids":["https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":26.5023,"has_fulltext":false,"cited_by_count":129,"citation_normalized_percentile":{"value":0.99601087,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"9","issue":"52","first_page":"1615","last_page":"1646"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9980999827384949,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9951000213623047,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.8407273292541504},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.7702372074127197},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7461008429527283},{"id":"https://openalex.org/keywords/representer-theorem","display_name":"Representer theorem","score":0.6023887395858765},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.6019173860549927},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5195636749267578},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5159512162208557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5079723000526428},{"id":"https://openalex.org/keywords/function-space","display_name":"Function space","score":0.4619455933570862},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4589709937572479},{"id":"https://openalex.org/keywords/radial-basis-function-kernel","display_name":"Radial basis function kernel","score":0.4329322874546051},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38504379987716675},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37188369035720825},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.3562471866607666},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3512048125267029},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.34844765067100525},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2885477840900421}],"concepts":[{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.8407273292541504},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7702372074127197},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7461008429527283},{"id":"https://openalex.org/C172623408","wikidata":"https://www.wikidata.org/wiki/Q7314263","display_name":"Representer theorem","level":5,"score":0.6023887395858765},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.6019173860549927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5195636749267578},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5159512162208557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5079723000526428},{"id":"https://openalex.org/C142730499","wikidata":"https://www.wikidata.org/wiki/Q934367","display_name":"Function space","level":2,"score":0.4619455933570862},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4589709937572479},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.4329322874546051},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38504379987716675},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37188369035720825},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.3562471866607666},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3512048125267029},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.34844765067100525},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2885477840900421},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.210.7246","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.210.7246","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jmlr.org/papers/volume9/caponnetto08a/caponnetto08a.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:163474","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/163474/","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":"   J MACH LEARN RES , 9    1615 - 1646.   (2008)      ","raw_type":"Article"},{"id":"mag:2099693464","is_oa":false,"landing_page_url":"http://empslocal.ex.ac.uk/people/staff/yy267/JMLR-08.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S118988714","display_name":"Journal of Machine Learning Research","issn_l":"1532-4435","issn":["1532-4435","1533-7928"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Journal of Machine Learning Research","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W638021750","https://openalex.org/W1510073064","https://openalex.org/W1562931283","https://openalex.org/W1576763524","https://openalex.org/W1582706191","https://openalex.org/W1647376582","https://openalex.org/W1746819321","https://openalex.org/W1986280275","https://openalex.org/W2012501405","https://openalex.org/W2038885231","https://openalex.org/W2039402388","https://openalex.org/W2047278710","https://openalex.org/W2049169285","https://openalex.org/W2084015112","https://openalex.org/W2097462699","https://openalex.org/W2098626000","https://openalex.org/W2101371964","https://openalex.org/W2109033859","https://openalex.org/W2115003579","https://openalex.org/W2125865219","https://openalex.org/W2144752499","https://openalex.org/W2165867509","https://openalex.org/W2171798319","https://openalex.org/W2913243980","https://openalex.org/W3119651796","https://openalex.org/W3186605155"],"related_works":["https://openalex.org/W2144752499","https://openalex.org/W2115003579","https://openalex.org/W1986280275","https://openalex.org/W2165867509","https://openalex.org/W2963973173","https://openalex.org/W2047278710","https://openalex.org/W1560724230","https://openalex.org/W1510073064","https://openalex.org/W2146611938","https://openalex.org/W2065180801","https://openalex.org/W2913243980","https://openalex.org/W2913340405","https://openalex.org/W2149417376","https://openalex.org/W2012501405","https://openalex.org/W1540155273","https://openalex.org/W2148603752","https://openalex.org/W2143104527","https://openalex.org/W1903038885","https://openalex.org/W1647376582","https://openalex.org/W1565176583"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,121],"are":[4],"concerned":[5],"with":[6,73,96],"reproducing":[7,30],"kernel":[8,31,55],"Hilbert":[9,20],"spaces":[10],"H-K":[11,35],"of":[12,66,83,90,100,109,117],"functions":[13],"from":[14],"an":[15,23],"input":[16,68],"space":[17,21],"into":[18],"a":[19],"Y,":[22],"environment":[24],"appropriate":[25],"for":[26],"multi-task":[27],"learning.":[28],"The":[29],"K":[32,56],"associated":[33],"to":[34,48,126],"has":[36],"its":[37],"values":[38,74],"as":[39],"operators":[40],"on":[41,62],"Y.":[42],"Our":[43,104],"primary":[44],"goal":[45],"here":[46],"is":[47,57],"derive":[49],"conditions":[50],"which":[51,120],"ensure":[52],"that":[53,61],"the":[54,67,84,114],"universal.":[58],"This":[59],"means":[60],"every":[63,70],"compact":[64],"subset":[65],"space,":[69],"continuous":[71],"function":[72],"in":[75,123],"Y":[76],"can":[77],"be":[78],"uniformly":[79],"approximated":[80],"by":[81],"sections":[82],"kernel.":[85],"We":[86],"provide":[87],"various":[88],"characterizations":[89],"universal":[91],"kernels":[92],"and":[93,112],"highlight":[94],"them":[95],"several":[97],"concrete":[98],"examples":[99],"some":[101],"practical":[102],"importance.":[103],"analysis":[105,111],"uses":[106],"basic":[107],"principles":[108],"functional":[110],"especially":[113],"useful":[115],"notion":[116],"vector":[118],"measures":[119],"describe":[122],"sufficient":[124],"detail":[125],"clarify":[127],"our":[128],"results.":[129]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":16}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
