{"id":"https://openalex.org/W2124101897","doi":"https://doi.org/10.1109/tnnls.2014.2361026","title":"The Generalization Ability of Online SVM Classification Based on Markov Sampling","display_name":"The Generalization Ability of Online SVM Classification Based on Markov Sampling","publication_year":2014,"publication_date":"2014-10-16","ids":{"openalex":"https://openalex.org/W2124101897","doi":"https://doi.org/10.1109/tnnls.2014.2361026","mag":"2124101897","pmid":"https://pubmed.ncbi.nlm.nih.gov/25343770"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2014.2361026","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2014.2361026","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100759656","display_name":"Jie Xu","orcid":"https://orcid.org/0000-0002-9045-0229"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Xu","raw_affiliation_strings":["Faculty of Computer Science and Information Engineering, Hubei University, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Information Engineering, Hubei University, Wuhan, China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085140523","display_name":"Yuan Yan Tang","orcid":"https://orcid.org/0000-0002-6887-130X"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yuan Yan Tang","raw_affiliation_strings":["Faculty of Science and Technology, University of Macau, Macau, China","Faculty of Science & Technology, University of Macau, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]},{"raw_affiliation_string":"Faculty of Science & Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078058840","display_name":"Bin Zou","orcid":"https://orcid.org/0000-0002-8649-1538"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Zou","raw_affiliation_strings":["Faculty of Mathematics and Statistics, Hubei University, Wuhan, China","Faculty of Mathematics and Statistics, Hubei University, Wuhan\u00a0, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Hubei University, Wuhan, China","institution_ids":["https://openalex.org/I75900474"]},{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Hubei University, Wuhan\u00a0, China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100511929","display_name":"Zongben Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongben Xu","raw_affiliation_strings":["Institute for Information and System Science, Xi\u2019an Jiaotong University, Xi\u2019an, China","[Institute for Information and System Science, Xi\u2019an Jiaotong University, Xi\u2019an, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Information and System Science, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"[Institute for Information and System Science, Xi\u2019an Jiaotong University, Xi\u2019an, China]","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070570029","display_name":"Luoqing Li","orcid":"https://orcid.org/0000-0002-4770-2283"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luoqing Li","raw_affiliation_strings":["Faculty of Mathematics and Statistics, Hubei University, Wuhan, China","Faculty of Mathematics and Statistics, Hubei University, Wuhan\u00a0, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Hubei University, Wuhan, China","institution_ids":["https://openalex.org/I75900474"]},{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Hubei University, Wuhan\u00a0, China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079130579","display_name":"Lu Yang","orcid":"https://orcid.org/0000-0003-3857-3982"},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Yang Lu","raw_affiliation_strings":["Faculty of Science, Hong Kong Baptist University, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science, Hong Kong Baptist University, Hong Kong, China","institution_ids":["https://openalex.org/I141568987"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.6416,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.9597105,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"26","issue":"3","first_page":"628","last_page":"639"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9824000000953674,"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"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9824000000953674,"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/T12391","display_name":"Artificial Immune Systems Applications","score":0.9714999794960022,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10057","display_name":"Face and Expression Recognition","score":0.9585999846458435,"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":0.7967615723609924},{"id":"https://openalex.org/keywords/markov-blanket","display_name":"Markov blanket","score":0.7260564565658569},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5892053842544556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5852867960929871},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5793948173522949},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5322731733322144},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5073754191398621},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4805755615234375},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4714701473712921},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47061899304389954},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.45912349224090576},{"id":"https://openalex.org/keywords/ranking-svm","display_name":"Ranking SVM","score":0.421842098236084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35218244791030884},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.27416062355041504},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.19867855310440063}],"concepts":[{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.7967615723609924},{"id":"https://openalex.org/C123867240","wikidata":"https://www.wikidata.org/wiki/Q3001792","display_name":"Markov blanket","level":5,"score":0.7260564565658569},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5892053842544556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5852867960929871},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5793948173522949},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5322731733322144},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5073754191398621},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4805755615234375},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4714701473712921},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47061899304389954},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.45912349224090576},{"id":"https://openalex.org/C124975894","wikidata":"https://www.wikidata.org/wiki/Q7293290","display_name":"Ranking SVM","level":3,"score":0.421842098236084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35218244791030884},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.27416062355041504},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.19867855310440063},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2014.2361026","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2014.2361026","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:25343770","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25343770","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1809503213","display_name":null,"funder_award_id":"2013CB329404","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W317456669","https://openalex.org/W1564947197","https://openalex.org/W1963546116","https://openalex.org/W1977073705","https://openalex.org/W1982032418","https://openalex.org/W1995713768","https://openalex.org/W1996652862","https://openalex.org/W2001960189","https://openalex.org/W2009754940","https://openalex.org/W2020999234","https://openalex.org/W2021440127","https://openalex.org/W2023163512","https://openalex.org/W2023530265","https://openalex.org/W2028548064","https://openalex.org/W2033855314","https://openalex.org/W2047278710","https://openalex.org/W2058402854","https://openalex.org/W2075672181","https://openalex.org/W2103195393","https://openalex.org/W2104290726","https://openalex.org/W2109339818","https://openalex.org/W2110455165","https://openalex.org/W2110652811","https://openalex.org/W2127684734","https://openalex.org/W2138309709","https://openalex.org/W2140956554","https://openalex.org/W2142563104","https://openalex.org/W2142623799","https://openalex.org/W2147303334","https://openalex.org/W2148603752","https://openalex.org/W2167711152","https://openalex.org/W2171798319","https://openalex.org/W2273260097","https://openalex.org/W2479575276","https://openalex.org/W3102676469","https://openalex.org/W6675492366","https://openalex.org/W6676525959","https://openalex.org/W6680729576","https://openalex.org/W6685370539"],"related_works":["https://openalex.org/W2166551085","https://openalex.org/W2767160479","https://openalex.org/W112629874","https://openalex.org/W1499746122","https://openalex.org/W2913952424","https://openalex.org/W2209805890","https://openalex.org/W1948992892","https://openalex.org/W3168178700","https://openalex.org/W1668892176","https://openalex.org/W2589204931"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"online":[5,30,54,72,92,106],"support":[6],"vector":[7],"machine":[8],"(SVM)":[9],"classification":[10,32,56,74,94,108],"learning":[11,69,88],"algorithms":[12],"with":[13,34],"uniformly":[14],"ergodic":[15],"Markov":[16,60,77,98],"chain":[17],"(u.e.M.c.)":[18],"samples.":[19],"We":[20,49],"establish":[21],"the":[22,25,64,68,87,91,114],"bound":[23],"on":[24,38,59,67,76,97,110],"misclassification":[26],"error":[27],"of":[28,71,90,104,116],"an":[29],"SVM":[31,55,73,93,107],"algorithm":[33,57,95],"u.e.M.c.":[35],"samples":[36,118],"based":[37,58,75,96,109],"reproducing":[39],"kernel":[40],"Hilbert":[41],"spaces":[42],"and":[43,62],"obtain":[44],"a":[45,52],"satisfactory":[46],"convergence":[47],"rate.":[48],"also":[50],"introduce":[51],"novel":[53],"sampling,":[61],"present":[63],"numerical":[65,83],"studies":[66,84],"ability":[70],"sampling":[78,99,112],"for":[79],"benchmark":[80],"repository.":[81],"The":[82],"show":[85],"that":[86,103],"performance":[89],"is":[100,119],"better":[101],"than":[102],"classical":[105],"random":[111],"as":[113],"size":[115],"training":[117],"larger.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
