{"id":"https://openalex.org/W2156020269","doi":"https://doi.org/10.1109/icmlc.2011.6016830","title":"A new method for multi-class support vector machines by training least number of classifiers","display_name":"A new method for multi-class support vector machines by training least number of classifiers","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2156020269","doi":"https://doi.org/10.1109/icmlc.2011.6016830","mag":"2156020269"},"language":"en","primary_location":{"id":"doi:10.1109/icmlc.2011.6016830","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2011.6016830","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference on Machine Learning and Cybernetics","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/A5114377922","display_name":"Ran Wang","orcid":"https://orcid.org/0000-0002-2586-5604"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Ran Wang","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008386708","display_name":"Sam Kwong","orcid":"https://orcid.org/0000-0001-7484-7261"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Sam Kwong","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069347046","display_name":"Degang Chen","orcid":"https://orcid.org/0000-0002-1135-9807"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"De-Gang Chen","raw_affiliation_strings":["Department of Mathematics and Physics, North China Electric Power University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, North China Electric Power University, Beijing, China","institution_ids":["https://openalex.org/I153473198"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5114377922"],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":null,"apc_paid":null,"fwci":0.7727,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76917567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"4","issue":null,"first_page":"648","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.994700014591217,"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":0.994700014591217,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.991599977016449,"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/T12676","display_name":"Machine Learning and ELM","score":0.9904000163078308,"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/support-vector-machine","display_name":"Support vector machine","score":0.8085811138153076},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.7134388089179993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7045348882675171},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6611823439598083},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.6298125982284546},{"id":"https://openalex.org/keywords/decision-tree","display_name":"Decision tree","score":0.6131707429885864},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5485665202140808},{"id":"https://openalex.org/keywords/feature-vector","display_name":"Feature vector","score":0.5444660186767578},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5411095023155212},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.522427499294281},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4490547478199005},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3466143012046814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19180011749267578},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18765607476234436},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.17525875568389893}],"concepts":[{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.8085811138153076},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.7134388089179993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7045348882675171},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6611823439598083},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.6298125982284546},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.6131707429885864},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5485665202140808},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.5444660186767578},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5411095023155212},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.522427499294281},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4490547478199005},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3466143012046814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19180011749267578},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18765607476234436},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.17525875568389893},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmlc.2011.6016830","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2011.6016830","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W2169610","https://openalex.org/W1517593247","https://openalex.org/W1969392438","https://openalex.org/W2039112049","https://openalex.org/W2053552294","https://openalex.org/W2093040750","https://openalex.org/W2103342147","https://openalex.org/W2135996040","https://openalex.org/W2148603752","https://openalex.org/W2153086337","https://openalex.org/W2157239837","https://openalex.org/W2160543135","https://openalex.org/W2172000360","https://openalex.org/W3163638146","https://openalex.org/W6600089577","https://openalex.org/W6683380652","https://openalex.org/W6683640196","https://openalex.org/W6795924076"],"related_works":["https://openalex.org/W2731094954","https://openalex.org/W2789273959","https://openalex.org/W4302345037","https://openalex.org/W2952978498","https://openalex.org/W2951616510","https://openalex.org/W1998712144","https://openalex.org/W3122467582","https://openalex.org/W2728444714","https://openalex.org/W4292730466","https://openalex.org/W3162204513"],"abstract_inverted_index":{"How":[0],"to":[1,9],"well":[2],"apply":[3],"Support":[4],"Vector":[5],"Machine":[6],"(SVM)":[7],"technique":[8],"multi-class":[10],"classification":[11],"problem":[12],"is":[13,32,64],"an":[14],"important":[15],"topic":[16],"in":[17,115],"the":[18,36,41,51,59,83,112],"area":[19],"of":[20,44,50,111,117],"machine":[21],"learning.":[22],"In":[23],"this":[24],"paper,":[25],"we":[26],"propose":[27],"a":[28],"novel":[29],"method":[30,63,85],"which":[31],"different":[33],"from":[34],"all":[35],"existing":[37,88],"ones.":[38],"By":[39],"constructing":[40],"least":[42],"number":[43],"classifiers,":[45],"it":[46],"makes":[47],"better":[48],"use":[49],"feature":[52],"space":[53],"partition,":[54],"and":[55,75,100,122],"can":[56],"fully":[57],"eliminate":[58],"unclassifiable":[60],"region.":[61],"The":[62],"specially":[65],"designed":[66],"for":[67],"2":[68],"<sup":[69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[70],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</sup>":[71],"-class":[72],"problems":[73],"first":[74],"could":[76],"be":[77],"possibly":[78],"extended":[79],"further.":[80],"We":[81],"compare":[82],"proposed":[84,113],"with":[86],"several":[87],"ones":[89],"as":[90],"one-against-rest":[91],"(OAR),":[92],"one-against-one":[93],"(OAO),":[94],"decision":[95,101],"directed":[96],"acyclic":[97],"graph":[98],"(DDAG),":[99],"tree":[102],"(DT)":[103],"based":[104],"architecture.":[105],"Experimental":[106],"results":[107],"exhibit":[108],"good":[109],"feasibility":[110],"model":[114],"term":[116],"generalization":[118],"capability,":[119],"training":[120],"time":[121],"testing":[123],"time.":[124]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
