{"id":"https://openalex.org/W4224997434","doi":"https://doi.org/10.1080/03610918.2022.2066693","title":"Asymptotic properties of multiclass support vector machine under high dimensional settings","display_name":"Asymptotic properties of multiclass support vector machine under high dimensional settings","publication_year":2022,"publication_date":"2022-04-26","ids":{"openalex":"https://openalex.org/W4224997434","doi":"https://doi.org/10.1080/03610918.2022.2066693"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2022.2066693","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2066693","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","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/A5026900749","display_name":"Kento Egashira","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kento Egashira","raw_affiliation_strings":["Degree Programs in Pure and Applied Sciences, Graduate School of Science and Technology, University of Tsukuba, Ibaraki, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Degree Programs in Pure and Applied Sciences, Graduate School of Science and Technology, University of Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026900749"],"corresponding_institution_ids":["https://openalex.org/I146399215"],"apc_list":null,"apc_paid":null,"fwci":0.5036,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.59460844,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"53","issue":"4","first_page":"1991","last_page":"2005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9969000220298767,"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/T10057","display_name":"Face and Expression Recognition","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.6780166029930115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5925125479698181},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.524513840675354},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42622900009155273},{"id":"https://openalex.org/keywords/multiclass-classification","display_name":"Multiclass classification","score":0.4210807681083679},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4126672148704529},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4105861783027649},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2604605555534363}],"concepts":[{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.6780166029930115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5925125479698181},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.524513840675354},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42622900009155273},{"id":"https://openalex.org/C123860398","wikidata":"https://www.wikidata.org/wiki/Q6934605","display_name":"Multiclass classification","level":3,"score":0.4210807681083679},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4126672148704529},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4105861783027649},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2604605555534363},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2022.2066693","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2066693","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1587510588","https://openalex.org/W1727290854","https://openalex.org/W1760802034","https://openalex.org/W1934446750","https://openalex.org/W1971198982","https://openalex.org/W1998894275","https://openalex.org/W2007527993","https://openalex.org/W2008920675","https://openalex.org/W2011058684","https://openalex.org/W2071988253","https://openalex.org/W2100094606","https://openalex.org/W2116444583","https://openalex.org/W2593452401","https://openalex.org/W2959802665","https://openalex.org/W2963599238","https://openalex.org/W2964119980","https://openalex.org/W3010187774","https://openalex.org/W3188161751","https://openalex.org/W4230674625"],"related_works":["https://openalex.org/W2090763504","https://openalex.org/W148178222","https://openalex.org/W2104657898","https://openalex.org/W1948992892","https://openalex.org/W1886884218","https://openalex.org/W3157224608","https://openalex.org/W2623163150","https://openalex.org/W2186666570","https://openalex.org/W2905251838","https://openalex.org/W4247599326"],"abstract_inverted_index":{"We":[0,20,36,50],"proceed":[1],"with":[2],"the":[3,56,59,64,67],"current":[4],"comprehension":[5],"of":[6,9,58,66],"asymptotic":[7],"properties":[8],"multiclass":[10],"support":[11],"vector":[12],"machine":[13],"(MSVM)":[14],"in":[15],"high-dimensional,":[16],"low-sample-size":[17],"(HDLSS)":[18],"settings.":[19],"show":[21],"that":[22],"MSVM":[23,40],"is":[24],"biased":[25],"under":[26],"HDLSS":[27,47],"settings":[28],"and":[29,54],"point":[30],"out":[31],"inconsistency":[32],"problems":[33],"for":[34,46],"MSVM.":[35],"propose":[37],"a":[38],"bias-corrected":[39],"(BC-MSVM)":[41],"which":[42],"works":[43],"well":[44],"even":[45],"data":[48,71],"set.":[49,72],"give":[51],"simulation":[52],"studies":[53],"discuss":[55],"performance":[57,65],"BC-MSVM.":[60],"Finally,":[61],"we":[62],"evaluate":[63],"BC-MSVM":[68],"using":[69],"microarray":[70]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}