{"id":"https://openalex.org/W2956007376","doi":"https://doi.org/10.1109/tcyb.2019.2923824","title":"Kernel Stability for Model Selection in Kernel-Based Algorithms","display_name":"Kernel Stability for Model Selection in Kernel-Based Algorithms","publication_year":2019,"publication_date":"2019-07-07","ids":{"openalex":"https://openalex.org/W2956007376","doi":"https://doi.org/10.1109/tcyb.2019.2923824","mag":"2956007376","pmid":"https://pubmed.ncbi.nlm.nih.gov/31283520"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2019.2923824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2019.2923824","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5028071674","display_name":"Yong Liu","orcid":"https://orcid.org/0000-0002-6739-621X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Liu","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-6739-621X","affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089843351","display_name":"Shizhong Liao","orcid":"https://orcid.org/0000-0003-0594-7116"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shizhong Liao","raw_affiliation_strings":["College of Intelligence and Computing, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-0594-7116","affiliations":[{"raw_affiliation_string":"College of Intelligence and Computing, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100408716","display_name":"Hua Zhang","orcid":"https://orcid.org/0000-0002-7627-4142"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Zhang","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-7627-4142","affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057999649","display_name":"Wenqi Ren","orcid":"https://orcid.org/0000-0001-5481-653X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenqi Ren","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100442319","display_name":"Weiping Wang","orcid":"https://orcid.org/0000-0002-6796-7596"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiping Wang","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4786,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73978917,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"51","issue":"12","first_page":"5647","last_page":"5658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9997000098228455,"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/T12676","display_name":"Machine Learning and ELM","score":0.9997000098228455,"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/T10320","display_name":"Neural Networks and Applications","score":0.9993000030517578,"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/T10057","display_name":"Face and Expression Recognition","score":0.9983999729156494,"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/overfitting","display_name":"Overfitting","score":0.8279756307601929},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7605518102645874},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7429180145263672},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6568464040756226},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6334065198898315},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5690345168113708},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5442107915878296},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5434409379959106},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.49413231015205383},{"id":"https://openalex.org/keywords/model-selection","display_name":"Model selection","score":0.46610793471336365},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.4649658799171448},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.45786646008491516},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43116405606269836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37548238039016724},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.16453102231025696}],"concepts":[{"id":"https://openalex.org/C22019652","wikidata":"https://www.wikidata.org/wiki/Q331309","display_name":"Overfitting","level":3,"score":0.8279756307601929},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7605518102645874},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7429180145263672},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6568464040756226},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6334065198898315},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5690345168113708},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5442107915878296},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5434409379959106},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.49413231015205383},{"id":"https://openalex.org/C93959086","wikidata":"https://www.wikidata.org/wiki/Q6888345","display_name":"Model selection","level":2,"score":0.46610793471336365},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.4649658799171448},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45786646008491516},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43116405606269836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37548238039016724},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.16453102231025696},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2019.2923824","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2019.2923824","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:31283520","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31283520","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2584422019","display_name":null,"funder_award_id":"61602467","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3119611672","display_name":null,"funder_award_id":"61703396","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4350870659","display_name":null,"funder_award_id":"Y7Z0111107","funder_id":"https://openalex.org/F4320321133","funder_display_name":"Chinese Academy of Sciences"},{"id":"https://openalex.org/G6721343884","display_name":null,"funder_award_id":"61673293","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8959606144","display_name":null,"funder_award_id":"61602464","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320322847","display_name":"Youth Innovation Promotion Association of the Chinese Academy of Sciences","ror":"https://ror.org/031141b54"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":79,"referenced_works":["https://openalex.org/W27434444","https://openalex.org/W29951015","https://openalex.org/W90543052","https://openalex.org/W1510073064","https://openalex.org/W1517808374","https://openalex.org/W1538813063","https://openalex.org/W1568179240","https://openalex.org/W1596717185","https://openalex.org/W1680392829","https://openalex.org/W1755117326","https://openalex.org/W1920328734","https://openalex.org/W1946137962","https://openalex.org/W2003449190","https://openalex.org/W2009772318","https://openalex.org/W2055186664","https://openalex.org/W2057312656","https://openalex.org/W2082233060","https://openalex.org/W2105463715","https://openalex.org/W2106261996","https://openalex.org/W2110652811","https://openalex.org/W2114892327","https://openalex.org/W2116882733","https://openalex.org/W2137207609","https://openalex.org/W2137563479","https://openalex.org/W2138263042","https://openalex.org/W2143296641","https://openalex.org/W2149846618","https://openalex.org/W2154776925","https://openalex.org/W2158001550","https://openalex.org/W2158078575","https://openalex.org/W2158512970","https://openalex.org/W2160840682","https://openalex.org/W2160941318","https://openalex.org/W2162009929","https://openalex.org/W2163463863","https://openalex.org/W2168127628","https://openalex.org/W2168901348","https://openalex.org/W2169171268","https://openalex.org/W2171710336","https://openalex.org/W2171792531","https://openalex.org/W2188217758","https://openalex.org/W2212660284","https://openalex.org/W2252964816","https://openalex.org/W2342444762","https://openalex.org/W2579923771","https://openalex.org/W2605034610","https://openalex.org/W2607542571","https://openalex.org/W2741623924","https://openalex.org/W2808275179","https://openalex.org/W2891124631","https://openalex.org/W2910032679","https://openalex.org/W2998678080","https://openalex.org/W3022552533","https://openalex.org/W4230674625","https://openalex.org/W4285719527","https://openalex.org/W6601214864","https://openalex.org/W6630956611","https://openalex.org/W6632413330","https://openalex.org/W6633776071","https://openalex.org/W6637386731","https://openalex.org/W6637962894","https://openalex.org/W6640308425","https://openalex.org/W6675620293","https://openalex.org/W6675743382","https://openalex.org/W6677272181","https://openalex.org/W6677603835","https://openalex.org/W6680858858","https://openalex.org/W6682981795","https://openalex.org/W6683383647","https://openalex.org/W6683883267","https://openalex.org/W6684617905","https://openalex.org/W6685152693","https://openalex.org/W6687402883","https://openalex.org/W6688325169","https://openalex.org/W6732517885","https://openalex.org/W6736338223","https://openalex.org/W6754648790","https://openalex.org/W7010488498","https://openalex.org/W7034108470"],"related_works":["https://openalex.org/W4362597605","https://openalex.org/W1574414179","https://openalex.org/W4297676672","https://openalex.org/W3009056573","https://openalex.org/W2922073769","https://openalex.org/W4281702477","https://openalex.org/W2490526372","https://openalex.org/W4225271882","https://openalex.org/W2003394143","https://openalex.org/W1994522454"],"abstract_inverted_index":{"Model":[0],"selection":[1],"is":[2,12,63,93,147],"one":[3],"of":[4,19,24,30,34,60,70,73,82,107,120,130,140,142,159,162,177,192,216],"the":[5,41,58,68,71,79,113,128,137,143,150,157,160,167,170,173,178,196,214,217],"fundamental":[6],"problems":[7],"in":[8],"kernel-based":[9],"algorithms,":[10],"which":[11,224],"commonly":[13],"done":[14],"by":[15],"minimizing":[16,195],"an":[17,124],"estimation":[18,72,161],"generalization":[20,42,83,114,186],"error.":[21],"The":[22],"notion":[23,106],"stability":[25,59,109,141,176],"and":[26,77,117,122,172,181,189,232],"cross-validation":[27],"(CV)":[28],"error":[29,84,115,187],"learning":[31,61,144,179],"machines":[32,62],"consists":[33],"two":[35,100,201],"widely":[36],"used":[37],"tools":[38,51],"for":[39,54,111,132],"analyzing":[40],"performance.":[43,209],"However,":[44],"there":[45],"are":[46,230],"some":[47],"disadvantages":[48],"to":[49,67,95,127],"both":[50],"when":[52],"applied":[53],"model":[55,134],"selection:":[56],"1)":[57],"not":[64],"practical":[65,133],"due":[66],"difficulty":[69,158],"its":[74,163],"specific":[75],"value":[76],"2)":[78],"CV-based":[80],"estimate":[81],"usually":[85],"has":[86],"a":[87,104],"relatively":[88],"high":[89],"variance,":[90],"so":[91],"it":[92,154],"prone":[94],"overfitting.":[96],"To":[97],"overcome":[98],"these":[99],"limitations,":[101],"we":[102,199,211],"present":[103,200],"novel":[105,202],"kernel":[108,151],"(KS)":[110],"deriving":[112],"bounds":[116,119,188,191],"variance":[118,190],"CV":[121],"provide":[123],"effective":[125],"approach":[126],"application":[129],"KS":[131,146,171],"selection.":[135],"Unlike":[136],"existing":[138],"notions":[139],"machine,":[145],"defined":[148],"on":[149,220],"matrix;":[152],"hence,":[153],"can":[155,206],"avoid":[156],"value.":[164],"We":[165],"manifest":[166],"relationship":[168],"between":[169],"popular":[174],"uniform":[175],"algorithm,":[180],"further":[182],"propose":[183],"several":[184],"KS-based":[185,203,228],"CV.":[193],"By":[194],"proposed":[197,218],"bounds,":[198],"criteria":[204,219,229],"that":[205,226],"ensure":[207],"good":[208],"Finally,":[210],"empirically":[212],"analyze":[213],"performance":[215],"many":[221],"benchmark":[222],"data,":[223],"demonstrates":[225],"our":[227],"sound":[231],"effective.":[233]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}