{"id":"https://openalex.org/W1564090827","doi":"https://doi.org/10.1109/cdc.2003.1273073","title":"Generalization ability of a class of empirical risk minimization algorithms and the support vector regression method","display_name":"Generalization ability of a class of empirical risk minimization algorithms and the support vector regression method","publication_year":2004,"publication_date":"2004-07-08","ids":{"openalex":"https://openalex.org/W1564090827","doi":"https://doi.org/10.1109/cdc.2003.1273073","mag":"1564090827"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1273073","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1273073","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100640471","display_name":"Ji-Woong Lee","orcid":"https://orcid.org/0000-0002-6101-7389"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ji-Woong Lee","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004650986","display_name":"Pramod P. Khargonekar","orcid":"https://orcid.org/0000-0001-6634-6950"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P.P. Khargonekar","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"2942","last_page":"2947"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9994000196456909,"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":0.9994000196456909,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9988999962806702,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/structural-risk-minimization","display_name":"Structural risk minimization","score":0.7846364974975586},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.7271283864974976},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6314234137535095},{"id":"https://openalex.org/keywords/empirical-risk-minimization","display_name":"Empirical risk minimization","score":0.6227546334266663},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.567956268787384},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5128583908081055},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.49831247329711914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48934406042099},{"id":"https://openalex.org/keywords/relevance-vector-machine","display_name":"Relevance vector machine","score":0.48034799098968506},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.4749215543270111},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.4695083796977997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43776318430900574},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4283581078052521},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4194377660751343},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3759326636791229},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35736513137817383},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35025858879089355},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14164870977401733},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.11008968949317932}],"concepts":[{"id":"https://openalex.org/C154507838","wikidata":"https://www.wikidata.org/wiki/Q7625053","display_name":"Structural risk minimization","level":3,"score":0.7846364974975586},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.7271283864974976},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6314234137535095},{"id":"https://openalex.org/C107321475","wikidata":"https://www.wikidata.org/wiki/Q5374254","display_name":"Empirical risk minimization","level":2,"score":0.6227546334266663},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.567956268787384},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5128583908081055},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.49831247329711914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48934406042099},{"id":"https://openalex.org/C14948415","wikidata":"https://www.wikidata.org/wiki/Q7310972","display_name":"Relevance vector machine","level":3,"score":0.48034799098968506},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4749215543270111},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.4695083796977997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43776318430900574},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4283581078052521},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4194377660751343},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3759326636791229},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35736513137817383},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35025858879089355},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14164870977401733},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.11008968949317932},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2003.1273073","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1273073","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"}],"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/W1487638357","https://openalex.org/W1506153731","https://openalex.org/W1530699444","https://openalex.org/W1585638233","https://openalex.org/W1601740268","https://openalex.org/W1604938182","https://openalex.org/W1964357740","https://openalex.org/W1998438337","https://openalex.org/W2017753243","https://openalex.org/W2047278710","https://openalex.org/W2059811159","https://openalex.org/W2076687762","https://openalex.org/W2084544490","https://openalex.org/W2087347434","https://openalex.org/W2106491486","https://openalex.org/W2108136473","https://openalex.org/W2110652811","https://openalex.org/W2113584252","https://openalex.org/W2119821739","https://openalex.org/W2134471934","https://openalex.org/W2139212933","https://openalex.org/W2148603752","https://openalex.org/W4239510810","https://openalex.org/W4252305909","https://openalex.org/W4255308044","https://openalex.org/W4300414918"],"related_works":["https://openalex.org/W2348333359","https://openalex.org/W2376653519","https://openalex.org/W2141292854","https://openalex.org/W2377603574","https://openalex.org/W2263952833","https://openalex.org/W1988496564","https://openalex.org/W2391361014","https://openalex.org/W2354929178","https://openalex.org/W2308827634","https://openalex.org/W4289926728"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,14,38,42,49,65,77,87],"generalization":[4,84],"ability":[5,85],"of":[6,16,27,41,64,86],"empirical":[7,28],"risk":[8,29],"minimization":[9,30],"algorithms":[10,31],"is":[11,58,70,80,93],"investigated":[12],"in":[13],"context":[15],"distribution-free":[17],"probably":[18],"approximately":[19],"correct":[20],"(PAC)":[21],"learning.":[22],"We":[23],"identify":[24],"a":[25,61],"class":[26,50],"that":[32,37,60],"are":[33],"PAC,":[34],"and":[35],"show":[36],"generic":[39,66],"version":[40],"support":[43,67,89],"vector":[44,68,90],"regression":[45,91],"method":[46,69,92],"belongs":[47],"to":[48,72],"for":[51],"any":[52,73],"given":[53,74],"Mercer":[54],"kernel.":[55],"Moreover,":[56],"it":[57],"shown":[59],"regularized":[62],"approximation":[63],"PAC":[71],"accuracy":[75],"when":[76],"regularization":[78],"parameter":[79],"sufficiently":[81],"large.":[82],"The":[83],"usual":[88],"deduced":[94],"from":[95],"these":[96],"results.":[97]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}