{"id":"https://openalex.org/W2161592627","doi":"https://doi.org/10.1109/tnn.2010.2103571","title":"Efficient Sparse Generalized Multiple Kernel Learning","display_name":"Efficient Sparse Generalized Multiple Kernel Learning","publication_year":2011,"publication_date":"2011-01-21","ids":{"openalex":"https://openalex.org/W2161592627","doi":"https://doi.org/10.1109/tnn.2010.2103571","mag":"2161592627","pmid":"https://pubmed.ncbi.nlm.nih.gov/21257374"},"language":"en","primary_location":{"id":"doi:10.1109/tnn.2010.2103571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2010.2103571","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5081662508","display_name":"Haiqin Yang","orcid":"https://orcid.org/0000-0001-5453-476X"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haiqin Yang","raw_affiliation_strings":["Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong. hqyang@cse.cuhk.edu.hk","Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong. hqyang@cse.cuhk.edu.hk","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051227924","display_name":"Zenglin Xu","orcid":"https://orcid.org/0000-0001-5550-6461"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Zenglin Xu","raw_affiliation_strings":["Cluster of Excellence MMCI, University of Saarland, Saarbrucken, Germany","Department of Computer Science, Purdue University, West Lafayette, IN, USA","Max-Planck Institute for Informatics, Saarbrucken, Germany"],"affiliations":[{"raw_affiliation_string":"Cluster of Excellence MMCI, University of Saarland, Saarbrucken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Department of Computer Science, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Max-Planck Institute for Informatics, Saarbrucken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010419481","display_name":"Jieping Ye","orcid":"https://orcid.org/0000-0001-8662-5818"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jieping Ye","raw_affiliation_strings":["Department of Computer Science and Engineering, Arizona State University, Tempe, AZ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Arizona State University, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042251906","display_name":"Irwin King","orcid":"https://orcid.org/0000-0001-8106-6447"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"I King","raw_affiliation_strings":["Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069596903","display_name":"Michael R. Lyu","orcid":"https://orcid.org/0000-0002-3666-5798"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"M R Lyu","raw_affiliation_strings":["Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Chinese University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5081662508"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":null,"apc_paid":null,"fwci":10.8181,"has_fulltext":false,"cited_by_count":92,"citation_normalized_percentile":{"value":0.9878447,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"22","issue":"3","first_page":"433","last_page":"446"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9973000288009644,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.991599977016449,"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/computer-science","display_name":"Computer science","score":0.6918798685073853},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.549785315990448},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5494142174720764},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.4707247316837311},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4114147424697876},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3973059356212616},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3634083867073059},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23383909463882446},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.23350384831428528},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10663425922393799}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6918798685073853},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.549785315990448},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5494142174720764},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.4707247316837311},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4114147424697876},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3973059356212616},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3634083867073059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23383909463882446},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.23350384831428528},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10663425922393799},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D013663","descriptor_name":"Teaching","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013663","descriptor_name":"Teaching","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013663","descriptor_name":"Teaching","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1109/tnn.2010.2103571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnn.2010.2103571","pdf_url":null,"source":{"id":"https://openalex.org/S42080949","display_name":"IEEE Transactions on Neural Networks","issn_l":"1045-9227","issn":["1045-9227","1941-0093"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks","raw_type":"journal-article"},{"id":"pmid:21257374","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21257374","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks","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":65,"referenced_works":["https://openalex.org/W64096456","https://openalex.org/W129562905","https://openalex.org/W335436902","https://openalex.org/W638544165","https://openalex.org/W1480501436","https://openalex.org/W1510073064","https://openalex.org/W1526741802","https://openalex.org/W1582548030","https://openalex.org/W1602916555","https://openalex.org/W1698155719","https://openalex.org/W1914219707","https://openalex.org/W1915109052","https://openalex.org/W1957660558","https://openalex.org/W1967797949","https://openalex.org/W1997221694","https://openalex.org/W1999693420","https://openalex.org/W2027197817","https://openalex.org/W2031823405","https://openalex.org/W2084812512","https://openalex.org/W2093843821","https://openalex.org/W2102579186","https://openalex.org/W2104472920","https://openalex.org/W2105636360","https://openalex.org/W2106503792","https://openalex.org/W2108198948","https://openalex.org/W2115467367","https://openalex.org/W2117866949","https://openalex.org/W2121033924","https://openalex.org/W2121215298","https://openalex.org/W2122825543","https://openalex.org/W2123893147","https://openalex.org/W2124225314","https://openalex.org/W2127069950","https://openalex.org/W2135046866","https://openalex.org/W2138019504","https://openalex.org/W2140514146","https://openalex.org/W2141057577","https://openalex.org/W2142387771","https://openalex.org/W2144846366","https://openalex.org/W2145295623","https://openalex.org/W2149995433","https://openalex.org/W2150100034","https://openalex.org/W2154462399","https://openalex.org/W2156909104","https://openalex.org/W2161444669","https://openalex.org/W2168605133","https://openalex.org/W2296319761","https://openalex.org/W2331890423","https://openalex.org/W2546945975","https://openalex.org/W2597289420","https://openalex.org/W2990138404","https://openalex.org/W2999905431","https://openalex.org/W3001495003","https://openalex.org/W4230674625","https://openalex.org/W4241295153","https://openalex.org/W4250589301","https://openalex.org/W4251871045","https://openalex.org/W6605306598","https://openalex.org/W6640140148","https://openalex.org/W6640859660","https://openalex.org/W6641446668","https://openalex.org/W6676309681","https://openalex.org/W6678059867","https://openalex.org/W6678145682","https://openalex.org/W6683181193"],"related_works":["https://openalex.org/W2089892314","https://openalex.org/W1603091392","https://openalex.org/W4386075310","https://openalex.org/W2095626363","https://openalex.org/W2169565408","https://openalex.org/W2127229869","https://openalex.org/W3123056048","https://openalex.org/W4248019443","https://openalex.org/W2150638158","https://openalex.org/W2121506664"],"abstract_inverted_index":{"Kernel":[0],"methods":[1,59],"have":[2,271],"been":[3,272],"successfully":[4],"applied":[5],"in":[6,11,120],"various":[7],"applications.":[8],"To":[9,142],"succeed":[10],"these":[12,144],"applications,":[13],"it":[14,164],"is":[15,25,165,235,244],"crucial":[16],"to":[17,26,90,126,136,187,255,274],"learn":[18],"a":[19,53,73,148,170,173,236,241,252],"good":[20],"kernel":[21,41,48,67,80,113,160,185,191],"representation,":[22],"whose":[23],"objective":[24],"reveal":[27],"the":[28,37,46,61,66,79,83,105,112,118,121,131,159,177,180,184,189,200,203,216,221,226,230,245,258,276],"data":[29],"similarity":[30],"precisely.":[31],"In":[32],"this":[33],"paper,":[34],"we":[35,146],"address":[36],"problem":[38],"of":[39,85,133,176,232,263,280],"multiple":[40],"learning":[42],"(MKL),":[43],"searching":[44],"for":[45,78],"optimal":[47,190,247],"combination":[49,68,175,192],"weights":[50,114,186],"through":[51],"maximizing":[52],"generalized":[54,149],"performance":[55],"measure.":[56],"Most":[57],"MKL":[58,150,167,196],"employ":[60],"L(1)-norm":[62,178,201],"simplex":[63],"constraints":[64,205],"on":[65,111,158,172,183,199,220,265],"weights,":[69],"which":[70],"therefore":[71],"involve":[72],"sparse":[74],"but":[75],"non-smooth":[76],"solution":[77,222,243],"weights.":[81,161,193],"Despite":[82],"success":[84],"their":[86],"efficiency,":[87],"they":[88],"tend":[89],"discard":[91],"informative":[92],"complementary":[93],"or":[94,202],"orthogonal":[95],"base":[96,122],"kernels":[97],"and":[98,129,138,179,223,268,278],"yield":[99],"degenerated":[100],"generalization":[101],"performance.":[102],"Alternatively,":[103],"imposing":[104],"L(p)-norm":[106],"(p":[107],">":[108],"1)":[109],"constraint":[110,157,171],"will":[115],"keep":[116],"all":[117],"information":[119],"kernels.":[123],"This":[124],"leads":[125],"non-sparse":[127],"solutions":[128],"brings":[130],"risk":[132],"being":[134],"sensitive":[135],"noise":[137],"incorporating":[139],"redundant":[140],"information.":[141],"tackle":[143],"problems,":[145],"propose":[147],"(GMKL)":[151],"model":[152,168],"by":[153],"introducing":[154],"an":[155,166],"elastic-net-type":[156],"More":[162],"specifically,":[163],"with":[169],"linear":[174],"squared":[181],"L(2)-norm":[182,204],"seek":[188],"Therefore,":[194],"previous":[195],"problems":[197],"based":[198],"can":[206],"be":[207],"regarded":[208],"as":[209],"special":[210],"cases.":[211],"Furthermore,":[212],"our":[213,233,281],"GMKL":[214,234],"enjoys":[215],"favorable":[217],"sparsity":[218],"property":[219],"also":[224],"facilitates":[225],"grouping":[227],"effect.":[228],"Moreover,":[229],"optimization":[231,238,259],"convex":[237],"problem,":[239],"where":[240],"local":[242],"global":[246],"solution.":[248],"We":[249],"further":[250],"derive":[251],"level":[253],"method":[254],"efficiently":[256],"solve":[257],"problem.":[260],"A":[261],"series":[262],"experiments":[264],"both":[266],"synthetic":[267],"real-world":[269],"datasets":[270],"conducted":[273],"show":[275],"effectiveness":[277],"efficiency":[279],"GMKL.":[282]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":12}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}
