{"id":"https://openalex.org/W2114598124","doi":"https://doi.org/10.1109/icassp.2008.4518030","title":"Learning the kernel via convex optimization","display_name":"Learning the kernel via convex optimization","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2114598124","doi":"https://doi.org/10.1109/icassp.2008.4518030","mag":"2114598124"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2008.4518030","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2008.4518030","pdf_url":null,"source":{"id":"https://openalex.org/S4210167542","display_name":"Proceedings of the ... IEEE International Conference on Acoustics, Speech, and Signal Processing","issn_l":"1520-6149","issn":["1520-6149","2379-190X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},"type":"article","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/A5026356137","display_name":"Seung-Jean Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Seung-Jean Kim","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109179828","display_name":"Argyrios Zymnis","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Argyrios Zymnis","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018684508","display_name":"Alessandro Magnani","orcid":"https://orcid.org/0000-0001-6719-7467"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alessandro Magnani","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109249218","display_name":"Kwangmoo Koh","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kwangmoo Koh","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011176205","display_name":"Stephen Boyd","orcid":"https://orcid.org/0000-0001-8353-6000"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen Boyd","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Stanford Univ., Stanford, CA#TAB#","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5026356137"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":2.2215,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88443396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":null,"first_page":"1997","last_page":"2000"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9983000159263611,"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/T12676","display_name":"Machine Learning and ELM","score":0.9958999752998352,"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/kernel","display_name":"Kernel (algebra)","score":0.7150005102157593},{"id":"https://openalex.org/keywords/polynomial-kernel","display_name":"Polynomial kernel","score":0.5948362946510315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5861883759498596},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5651777982711792},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.5570827722549438},{"id":"https://openalex.org/keywords/radial-basis-function-kernel","display_name":"Radial basis function kernel","score":0.5376272201538086},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.513424277305603},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4962466359138489},{"id":"https://openalex.org/keywords/tree-kernel","display_name":"Tree kernel","score":0.49324578046798706},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48861318826675415},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.45930469036102295},{"id":"https://openalex.org/keywords/multiple-kernel-learning","display_name":"Multiple kernel learning","score":0.43303343653678894},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4225021004676819},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.37872564792633057},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.35308265686035156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31978321075439453},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07689210772514343}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7150005102157593},{"id":"https://openalex.org/C160446489","wikidata":"https://www.wikidata.org/wiki/Q7226642","display_name":"Polynomial kernel","level":4,"score":0.5948362946510315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5861883759498596},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5651777982711792},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.5570827722549438},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.5376272201538086},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.513424277305603},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4962466359138489},{"id":"https://openalex.org/C140417398","wikidata":"https://www.wikidata.org/wiki/Q16933942","display_name":"Tree kernel","level":5,"score":0.49324578046798706},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48861318826675415},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.45930469036102295},{"id":"https://openalex.org/C2776879701","wikidata":"https://www.wikidata.org/wiki/Q25048660","display_name":"Multiple kernel learning","level":4,"score":0.43303343653678894},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4225021004676819},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.37872564792633057},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.35308265686035156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31978321075439453},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07689210772514343},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2008.4518030","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2008.4518030","pdf_url":null,"source":{"id":"https://openalex.org/S4210167542","display_name":"Proceedings of the ... IEEE International Conference on Acoustics, Speech, and Signal Processing","issn_l":"1520-6149","issn":["1520-6149","2379-190X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1510073064","https://openalex.org/W2029135989","https://openalex.org/W2095981367","https://openalex.org/W2121033924","https://openalex.org/W2133026717","https://openalex.org/W2145295623","https://openalex.org/W2163771264","https://openalex.org/W2170356051","https://openalex.org/W2296319761","https://openalex.org/W4250589301","https://openalex.org/W6641446668","https://openalex.org/W6678059867","https://openalex.org/W6679546315","https://openalex.org/W6684149484","https://openalex.org/W6685016619"],"related_works":["https://openalex.org/W4291669689","https://openalex.org/W1969447452","https://openalex.org/W4282562207","https://openalex.org/W2071590642","https://openalex.org/W2806943235","https://openalex.org/W2898882859","https://openalex.org/W2141199622","https://openalex.org/W2371064519","https://openalex.org/W1976730005","https://openalex.org/W2055608878"],"abstract_inverted_index":{"The":[0,34,100],"performance":[1],"of":[2,13,25,76],"a":[3,44,51,73,88,107],"kernel-based":[4,77],"learning":[5,26,78,82,102],"algorithm":[6],"depends":[7],"very":[8,53],"much":[9,17],"on":[10,39],"the":[11,14,23,27,41,80],"choice":[12],"kernel.":[15],"Recently,":[16],"attention":[18],"has":[19,37],"been":[20,38],"paid":[21],"to":[22],"problem":[24,42,83,91,109],"kernel":[28,81,101],"itself":[29],"from":[30],"given":[31],"training":[32],"examples.":[33],"main":[35],"emphasis":[36],"formulating":[40],"as":[43,57,87],"tractable":[45],"convex":[46,63,89],"optimization":[47,90],"problem.":[48],"Only":[49],"for":[50],"few":[52],"special":[54],"cases":[55],"such":[56],"support":[58],"vector":[59],"machines":[60],"are":[61],"explicit":[62],"formulations":[64],"known.":[65],"In":[66],"this":[67],"paper,":[68],"we":[69],"show":[70],"that,":[71],"in":[72,112],"wide":[74],"variety":[75],"algorithms,":[79],"can":[84,95],"be":[85],"formulated":[86],"which":[92],"interior-point":[93],"methods":[94],"solve":[96],"globally":[97],"and":[98],"efficiently.":[99],"method":[103],"is":[104],"illustrated":[105],"with":[106],"regression":[108],"that":[110],"arises":[111],"petroleum":[113],"engineering.":[114]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
