{"id":"https://openalex.org/W2135670105","doi":null,"title":"Multiclass Latent Locally Linear Support Vector Machines","display_name":"Multiclass Latent Locally Linear Support Vector Machines","publication_year":2013,"publication_date":"2013-10-21","ids":{"openalex":"https://openalex.org/W2135670105","mag":"2135670105"},"language":"en","primary_location":{"id":"pmh:oai:infoscience.tind.io:192417","doi":null,"is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/192417","pdf_url":"http://infoscience.epfl.ch/record/192417","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infoscience.epfl.ch/record/192417","raw_type":"Text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/192417","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033091961","display_name":"Marco Fornoni","orcid":"https://orcid.org/0000-0001-5538-8012","observed_orcids":["https://orcid.org/0000-0001-5538-8012"]},"institutions":[{"id":"https://openalex.org/I7495430","display_name":"Idiap Research Institute","ror":"https://ror.org/05932h694","country_code":"CH","type":"facility","lineage":["https://openalex.org/I7495430"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Marco Fornoni","raw_affiliation_strings":["IDIAP research institute"],"raw_orcid":"https://orcid.org/0000-0001-5538-8012","affiliations":[{"raw_affiliation_string":"IDIAP research institute","institution_ids":["https://openalex.org/I7495430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024757596","display_name":"Barbara Caputo B","orcid":"https://orcid.org/0000-0001-7169-0158","observed_orcids":["https://orcid.org/0000-0001-7169-0158","https://orcid.org/0009-0009-0533-3860"]},"institutions":[{"id":"https://openalex.org/I7495430","display_name":"Idiap Research Institute","ror":"https://ror.org/05932h694","country_code":"CH","type":"facility","lineage":["https://openalex.org/I7495430"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Barbara Caputo","raw_affiliation_strings":["IDIAP research institute"],"raw_orcid":"https://orcid.org/0000-0001-7169-0158","affiliations":[{"raw_affiliation_string":"IDIAP research institute","institution_ids":["https://openalex.org/I7495430"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044260265","display_name":"Francesco Orabona","orcid":"https://orcid.org/0000-0001-8523-6845","observed_orcids":["https://orcid.org/0000-0001-8523-6845","https://orcid.org/0000-0001-8119-8634"]},"institutions":[{"id":"https://openalex.org/I160992636","display_name":"Toyota Technological Institute at Chicago","ror":"https://ror.org/02sn5gb64","country_code":"US","type":"education","lineage":["https://openalex.org/I160992636"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Francesco Orabona","raw_affiliation_strings":["TOYOTA TECHNOLOGICAL INSTITUTE AT CHICAGO"],"raw_orcid":"https://orcid.org/0000-0001-8523-6845","affiliations":[{"raw_affiliation_string":"TOYOTA TECHNOLOGICAL INSTITUTE AT CHICAGO","institution_ids":["https://openalex.org/I160992636"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3113,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.92245152,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"229","last_page":"244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.2766000032424927,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.2766000032424927,"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":0.19300000369548798,"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/T12535","display_name":"Machine Learning and Data Classification","score":0.11400000005960464,"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/multiclass-classification","display_name":"multi-class classification","score":0.9470000267028809},{"id":"https://openalex.org/keywords/latent-variables","display_name":"latent variables","score":0.6140000224113464},{"id":"https://openalex.org/keywords/closed-form-estimation","display_name":"closed-form estimation","score":0.7839999794960022},{"id":"https://openalex.org/keywords/computational-cost-reduction","display_name":"computational complexity reduction","score":0.5109999775886536},{"id":"https://openalex.org/keywords/character-recognition","display_name":"character recognition","score":0.5379999876022339},{"id":"https://openalex.org/keywords/digit-recognition","display_name":"digit recognition","score":0.9819999933242798}],"concepts":[{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.8084739446640015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6200557947158813},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.5093108415603638},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.47933802008628845},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.47471582889556885},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45639628171920776},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45364922285079956},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4258959889411926},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4067441523075104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3465132713317871},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27557045221328735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24979594349861145},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.06903362274169922}],"mesh":[],"locations_count":7,"locations":[{"id":"pmh:oai:infoscience.tind.io:192417","doi":null,"is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/192417","pdf_url":"http://infoscience.epfl.ch/record/192417","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infoscience.epfl.ch/record/192417","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.490.8733","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.490.8733","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://publications.idiap.ch/downloads/papers/2013/Fornoni_ACML2013_2013.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.649.7747","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.649.7747","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://francesco.orabona.com/papers/13acml.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.663.1019","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.663.1019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://jmlr.org/proceedings/papers/v29/Fornoni13.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:192417","doi":null,"is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/192417","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:iris.uniroma1.it:11573/910711","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/910711","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"mag:2135670105","doi":null,"is_oa":false,"landing_page_url":"http://francesco.orabona.com/papers/13acml.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306417739","display_name":"Asian Conference on Machine Learning","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Asian Conference on Machine Learning","raw_type":null}],"best_oa_location":{"id":"pmh:oai:infoscience.tind.io:192417","doi":null,"is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/192417","pdf_url":"http://infoscience.epfl.ch/record/192417","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infoscience.epfl.ch/record/192417","raw_type":"Text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2135670105.pdf","grobid_xml":"https://content.openalex.org/works/W2135670105.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1565746575","https://openalex.org/W1992285697","https://openalex.org/W1999693420","https://openalex.org/W2017365379","https://openalex.org/W2035720976","https://openalex.org/W2056763477","https://openalex.org/W2057205720","https://openalex.org/W2100659887","https://openalex.org/W2112796928","https://openalex.org/W2114570910","https://openalex.org/W2122167966","https://openalex.org/W2125993116","https://openalex.org/W2131202691","https://openalex.org/W2134563198","https://openalex.org/W2137515395","https://openalex.org/W2142623206","https://openalex.org/W2147196093","https://openalex.org/W2152161678","https://openalex.org/W2155195660","https://openalex.org/W2157791002","https://openalex.org/W2165828254","https://openalex.org/W2168356304","https://openalex.org/W2189508540","https://openalex.org/W2215815030","https://openalex.org/W2296319761","https://openalex.org/W2798766386","https://openalex.org/W3120740533"],"related_works":["https://openalex.org/W7095099244","https://openalex.org/W7099060383","https://openalex.org/W2131202691","https://openalex.org/W7096932554","https://openalex.org/W2731003565","https://openalex.org/W2157174648","https://openalex.org/W2038221881","https://openalex.org/W1984981822","https://openalex.org/W7097503212","https://openalex.org/W2170308301"],"abstract_inverted_index":{"Kernelized":[0],"Support":[1],"Vector":[2],"Machines":[3],"(SVM)":[4],"have":[5],"gained":[6],"the":[7,17,40,49,59,123,126,163,168,207,210],"status":[8],"of":[9,16,42,55,61,80,105,108,209],"o-the-shelf":[10],"classiers,":[11,170],"able":[12],"to":[13,47,122,157],"deliver":[14],"state":[15],"art":[18],"performance":[19],"on":[20,95,183],"almost":[21],"any":[22],"problem.":[23],"Still,":[24],"their":[25,31,145],"practical":[26],"use":[27,104],"is":[28,69],"constrained":[29],"by":[30,71],"computational":[32],"and":[33,52,58,117,138,167,196,200],"memory":[34],"complexity,":[35],"which":[36],"grows":[37],"super-linearly":[38],"with":[39],"number":[41],"training":[43,51],"samples.":[44],"In":[45,83],"order":[46],"retain":[48],"low":[50],"testing":[53],"complexity":[54],"linear":[56,63,81,109,169],"classiers":[57,76],"exibility":[60],"non":[62],"ones,":[64],"a":[65,88,96,106,141,160,172,177,201],"growing,":[66],"promising":[67],"alternative":[68],"represented":[70],"methods":[72],"that":[73,111],"learn":[74,158],"non-linear":[75],"through":[77],"local":[78,92],"combinations":[79,137],"ones.":[82],"this":[84],"paper":[85],"we":[86,139],"propose":[87],"new":[89],"multi":[90],"class":[91,118],"classier,":[93],"based":[94],"latent":[97,124,132],"SVM":[98],"formulation.":[99],"The":[100],"proposed":[101,211],"classier":[102],"makes":[103],"set":[107],"models":[110],"are":[112,129],"linearly":[113],"combined":[114],"using":[115,176],"sample":[116,164],"specic":[119,165],"weights.":[120],"Thanks":[121],"formulation,":[125],"combination":[127],"coecients":[128],"modeled":[130],"as":[131],"variables.":[133],"We":[134],"allow":[135],"soft":[136],"provide":[140],"closed-form":[142],"solution":[143],"for":[144],"estimation,":[146],"resulting":[147],"in":[148,159,171],"an":[149],"ecient":[150],"prediction":[151],"rule.":[152],"This":[153],"novel":[154],"formulation":[155],"allows":[156],"principled":[161],"way":[162],"weights":[166],"unique":[173],"optimization":[174,179],"problem,":[175],"CCCP":[178],"procedure.":[180],"Extensive":[181],"experiments":[182],"ten":[184],"standard":[185],"UCI":[186],"machine":[187],"learning":[188],"datasets,":[189],"one":[190],"large":[191],"binary":[192],"dataset,":[193],"three":[194],"character":[195],"digit":[197],"recognition":[198],"databases,":[199],"visual":[202],"place":[203],"categorization":[204],"dataset":[205],"show":[206],"power":[208],"approach.":[212]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
