{"id":"https://openalex.org/W1579200136","doi":"https://doi.org/10.1007/s00224-007-9094-6","title":"Provably Fast Training Algorithms for Support Vector Machines","display_name":"Provably Fast Training Algorithms for Support Vector Machines","publication_year":2002,"publication_date":"2002-11-14","ids":{"openalex":"https://openalex.org/W1579200136","doi":"https://doi.org/10.1007/s00224-007-9094-6","mag":"1579200136"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-007-9094-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-007-9094-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-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/A5046454039","display_name":"Jos\u00e9 L. Balc\u00e1zar","orcid":"https://orcid.org/0000-0003-4248-4528"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 L. Balc\u00e1zar","raw_affiliation_strings":["Departament de Llenguatges i Sistemes Inform\u00e0tics, Univ. Polit\u00e8cnica de Catalunya Campus Nord, Jordi Girona Salgado 1-3, 08034, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Llenguatges i Sistemes Inform\u00e0tics, Univ. Polit\u00e8cnica de Catalunya Campus Nord, Jordi Girona Salgado 1-3, 08034, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yang Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yang Dai","raw_affiliation_strings":["Department of Bioengineering (MC063), University Illinois at Chicago, 851 S. Morgan Str, Chicago, IL, 60607-7052, USA"],"affiliations":[{"raw_affiliation_string":"Department of Bioengineering (MC063), University Illinois at Chicago, 851 S. Morgan Str, Chicago, IL, 60607-7052, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Junichi Tanaka","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Junichi Tanaka","raw_affiliation_strings":["Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Meguro-ku Ookayama, Tokyo, 152-8552, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Meguro-ku Ookayama, Tokyo, 152-8552, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":null,"display_name":"Osamu Watanabe","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Osamu Watanabe","raw_affiliation_strings":["Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Meguro-ku Ookayama, Tokyo, 152-8552, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Meguro-ku Ookayama, Tokyo, 152-8552, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046454039"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06665113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"42","issue":"4","first_page":"43","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9307000041007996,"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/T10320","display_name":"Neural Networks and Applications","score":0.9307000041007996,"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":0.6469066739082336},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.5904939770698547},{"id":"https://openalex.org/keywords/training","display_name":"Training (meteorology)","score":0.5282230377197266},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5086132287979126},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4459018111228943},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.33851712942123413}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6469066739082336},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5904939770698547},{"id":"https://openalex.org/C2777211547","wikidata":"https://www.wikidata.org/wiki/Q17141490","display_name":"Training (meteorology)","level":2,"score":0.5282230377197266},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5086132287979126},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4459018111228943},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.33851712942123413},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1007/s00224-007-9094-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-007-9094-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"doi:10.1109/icdm.2001.989499","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icdm.2001.989499","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2001 IEEE International Conference on Data Mining","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.15.7375","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.7375","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.is.titech.ac.jp/research/research-report/C/C-160.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.25.1888","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.25.1888","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.is.titech.ac.jp/~dai/icdm-proc.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.304.6403","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.304.6403","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsi.upc.es/~balqui/postscript/svmjournal.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.6.6380","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.6380","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsi.upc.es/~balqui/postscript/icdm2001.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.84.3340","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.3340","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://array.bioengr.uic.edu/~yangdai/pub/icdm-proc.pdf","raw_type":"text"},{"id":"pmh:oai:t2r2.star.titech.ac.jp:50031385","is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100556097","pdf_url":null,"source":{"id":"https://openalex.org/S4377196385","display_name":"Tokyo Tech Research Repository (Tokyo Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114531698","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/I114531698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"},{"id":"pmh:oai:t2r2.star.titech.ac.jp:50104254","is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100604577","pdf_url":null,"source":{"id":"https://openalex.org/S4377196385","display_name":"Tokyo Tech Research Repository (Tokyo Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114531698","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/I114531698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"mag:1579200136","is_oa":false,"landing_page_url":"http://ci.nii.ac.jp/naid/110003191942","pdf_url":null,"source":{"id":"https://openalex.org/S4306559710","display_name":"\u96fb\u5b50\u60c5\u5831\u901a\u4fe1\u5b66\u4f1a\u6280\u8853\u7814\u7a76\u5831\u544a. COMP, \u30b3\u30f3\u30d4\u30e5\u30c6\u30fc\u30b7\u30e7\u30f3","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"\u96fb\u5b50\u60c5\u5831\u901a\u4fe1\u5b66\u4f1a\u6280\u8853\u7814\u7a76\u5831\u544a. COMP, \u30b3\u30f3\u30d4\u30e5\u30c6\u30fc\u30b7\u30e7\u30f3","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1512098439","https://openalex.org/W1556115774","https://openalex.org/W1580215688","https://openalex.org/W1607723598","https://openalex.org/W1621799579","https://openalex.org/W1705336121","https://openalex.org/W1980801609","https://openalex.org/W1985372427","https://openalex.org/W1987752344","https://openalex.org/W1994043630","https://openalex.org/W2047278710","https://openalex.org/W2047542122","https://openalex.org/W2051381803","https://openalex.org/W2087347434","https://openalex.org/W2125028780","https://openalex.org/W2140586694","https://openalex.org/W2158388787","https://openalex.org/W2161920802","https://openalex.org/W2533558946","https://openalex.org/W4239510810","https://openalex.org/W6636174462","https://openalex.org/W6680740233","https://openalex.org/W6682404154"],"related_works":["https://openalex.org/W1705336121","https://openalex.org/W2505554796","https://openalex.org/W2608738262","https://openalex.org/W1884732276","https://openalex.org/W2065417424","https://openalex.org/W2550762110","https://openalex.org/W2413721853","https://openalex.org/W2107593092","https://openalex.org/W2122024048","https://openalex.org/W2557080744","https://openalex.org/W3147134082","https://openalex.org/W2609765694","https://openalex.org/W2498244611","https://openalex.org/W1980082987","https://openalex.org/W2132413854","https://openalex.org/W2029384563","https://openalex.org/W1622454219","https://openalex.org/W2139224857","https://openalex.org/W1672154140","https://openalex.org/W2113159480"],"abstract_inverted_index":{"Support":[0],"Vector":[1],"Machines":[2],"are":[3],"a":[4,27,80],"family":[5],"of":[6,11,29,60,74,79,91,101,119,138],"algorithms":[7,21],"for":[8,22,38],"the":[9,48,58,68,72,77,87,92],"analysis":[10],"data":[12,61],"based":[13,25],"on":[14,26,47,105,124],"convex":[15],"Quadratic":[16],"Programming.":[17],"We":[18,41],"derive":[19],"randomized":[20],"training":[23],"SVMs,":[24],"variation":[28],"Random":[30],"Sampling":[31],"Techniques;":[32],"these":[33],"have":[34],"been":[35],"successfully":[36],"used":[37],"similar":[39],"problems.":[40],"formally":[42],"prove":[43],"an":[44],"upper":[45],"bound":[46],"expected":[49],"running":[50],"time":[51],"which":[52],"is":[53,86],"quasilinear":[54],"with":[55,65],"respect":[56,66],"to":[57,67],"number":[59,73],"points":[62],"and":[63,76,131,144],"polynomial":[64],"other":[69],"parameters,":[70],"i.e.,":[71],"attributes":[75],"inverse":[78],"chosen":[81],"soft":[82],"margin":[83],"parameter.":[84],"[This":[85],"combined":[88],"journal":[89],"version":[90],"conference":[93],"papers":[94],"(Balc\u00e1zar,":[95],"J.L.":[96,114,133],"et":[97,115,134],"al.":[98,116,135],"in":[99,117,136,141],"Proceedings":[100,118,137],"12th":[102],"International":[103,122],"Conference":[104,123],"Algorithmic":[106],"Learning":[107],"Theory":[108],"(ALT\u201901),":[109],"pp.":[110,128,147],"119\u2013134,":[111],"[2001];":[112,130],"Balc\u00e1zar,":[113,132],"First":[120],"IEEE":[121],"Data":[125,145],"Mining":[126],"(ICDM\u201901),":[127],"43\u201350,":[129],"SIAM":[139],"Workshop":[140],"Discrete":[142],"Mathematics":[143],"Mining,":[146],"19\u201329,":[148],"[2002]).]":[149]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
