{"id":"https://openalex.org/W3129025684","doi":"https://doi.org/10.1109/access.2021.3057367","title":"MPMSVC: Multiple Parametric-Margin Support Vector Clustering","display_name":"MPMSVC: Multiple Parametric-Margin Support Vector Clustering","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3129025684","doi":"https://doi.org/10.1109/access.2021.3057367","mag":"3129025684"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3057367","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3057367","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09348879.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09348879.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101795804","display_name":"Yibo Jiang","orcid":"https://orcid.org/0000-0002-4276-7336"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi-Bo Jiang","raw_affiliation_strings":["Zhijiang College, Zhejiang University of Technology, Hangzhou, China","College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"Zhijiang College, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020066887","display_name":"Wei-Jie Chen","orcid":"https://orcid.org/0000-0001-5186-0279"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei-Jie Chen","raw_affiliation_strings":["Zhijiang College, Zhejiang University of Technology, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"Zhijiang College, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100461350","display_name":"Yuqing Wang","orcid":"https://orcid.org/0009-0006-3161-0364"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Qing Wang","raw_affiliation_strings":["Zhijiang College, Zhejiang University of Technology, Hangzhou, China","College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"Zhijiang College, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087014857","display_name":"Mingchuan Zhang","orcid":"https://orcid.org/0000-0002-2523-1089"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming-Chuan Zhang","raw_affiliation_strings":["Zhijiang College, Zhejiang University of Technology, Hangzhou, China","College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"Zhijiang College, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"College of Computer Science and Technology, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051850582","display_name":"Yuan\u2010Hai Shao","orcid":"https://orcid.org/0000-0002-1628-6133"},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan-Hai Shao","raw_affiliation_strings":["School of Economics and Management, Hainan University, Haikou, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Hainan University, Haikou, China","institution_ids":["https://openalex.org/I20942203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101795804"],"corresponding_institution_ids":["https://openalex.org/I55712492"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.1936,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.45771265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"9","issue":null,"first_page":"24499","last_page":"24512"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9959999918937683,"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":0.9959999918937683,"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9955999851226807,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.8269284963607788},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.7603788375854492},{"id":"https://openalex.org/keywords/margin","display_name":"Margin (machine learning)","score":0.6160785555839539},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5725414156913757},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5058984160423279},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.49330440163612366},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38425397872924805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3423376977443695},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33299529552459717},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32780468463897705},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.20261171460151672},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12166699767112732}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8269284963607788},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7603788375854492},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.6160785555839539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5725414156913757},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5058984160423279},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.49330440163612366},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38425397872924805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3423376977443695},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33299529552459717},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32780468463897705},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.20261171460151672},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12166699767112732},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3057367","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3057367","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09348879.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3f21340b235544d09306fd4e476fad5e","is_oa":true,"landing_page_url":"https://doaj.org/article/3f21340b235544d09306fd4e476fad5e","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 24499-24512 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3057367","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3057367","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09348879.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1023919524","display_name":null,"funder_award_id":", Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1666310412","display_name":null,"funder_award_id":"61603338","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2195157959","display_name":null,"funder_award_id":"617033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2425456055","display_name":null,"funder_award_id":"61866010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3273541358","display_name":null,"funder_award_id":"LY21F030013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3980372984","display_name":null,"funder_award_id":"11871183","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4128332267","display_name":null,"funder_award_id":"617033","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"id":"https://openalex.org/G4623598792","display_name":null,"funder_award_id":"118QN181","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"id":"https://openalex.org/G5746577629","display_name":null,"funder_award_id":"61866010","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6161191755","display_name":null,"funder_award_id":"LY21F030013","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G6280793601","display_name":null,"funder_award_id":"6186601","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6841039601","display_name":null,"funder_award_id":"11426202","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7346218018","display_name":null,"funder_award_id":"11871","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8424375420","display_name":null,"funder_award_id":"LY17F030015","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G8480793809","display_name":null,"funder_award_id":"61703370","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8868768558","display_name":null,"funder_award_id":"11871183","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322866","display_name":"Natural Science Foundation of Hainan Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3129025684.pdf","grobid_xml":"https://content.openalex.org/works/W3129025684.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1128809682","https://openalex.org/W1533128638","https://openalex.org/W1990119779","https://openalex.org/W1995450389","https://openalex.org/W2011430131","https://openalex.org/W2026297137","https://openalex.org/W2038445713","https://openalex.org/W2042561770","https://openalex.org/W2054274648","https://openalex.org/W2056811412","https://openalex.org/W2061278117","https://openalex.org/W2080511794","https://openalex.org/W2081215732","https://openalex.org/W2083583987","https://openalex.org/W2083620785","https://openalex.org/W2088246901","https://openalex.org/W2090089568","https://openalex.org/W2092865343","https://openalex.org/W2109535575","https://openalex.org/W2132425109","https://openalex.org/W2147102238","https://openalex.org/W2153233077","https://openalex.org/W2170584976","https://openalex.org/W2170635585","https://openalex.org/W2170860445","https://openalex.org/W2184222852","https://openalex.org/W2268856018","https://openalex.org/W2472662788","https://openalex.org/W2528144111","https://openalex.org/W2757101026","https://openalex.org/W2761818166","https://openalex.org/W2883946950","https://openalex.org/W2889135648","https://openalex.org/W2899447305","https://openalex.org/W2904257193","https://openalex.org/W2914436796","https://openalex.org/W2989184171","https://openalex.org/W3000575943","https://openalex.org/W3003529114","https://openalex.org/W3005808018","https://openalex.org/W3005874681","https://openalex.org/W3021011198","https://openalex.org/W3048913569","https://openalex.org/W3103683681","https://openalex.org/W6681785522"],"related_works":["https://openalex.org/W4389381704","https://openalex.org/W2161440356","https://openalex.org/W2383335574","https://openalex.org/W1489507320","https://openalex.org/W233771590","https://openalex.org/W2127616648","https://openalex.org/W2348510359","https://openalex.org/W3121830895","https://openalex.org/W2900686919","https://openalex.org/W2047800684"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"propose":[4],"an":[5,74],"unsupervised":[6],"multiple":[7],"parametric-margin":[8,26],"support":[9],"vector":[10],"clustering":[11,15,99,148],"(MPMSVC)":[12],"for":[13,29],"noisy":[14,98],"tasks.":[16,100,149],"The":[17,61,79,134],"main":[18],"idea":[19],"of":[20,63,81,120,126,155],"MPMSVC":[21,54,64,93,156],"is":[22,65,106,130,137,157],"to":[23,97,108,143],"find":[24],"a":[25,33,118],"center":[27,43],"hyperplane":[28],"each":[30],"cluster":[31],"in":[32,67,113],"manner":[34],"that":[35],"gathers":[36],"the":[37,41,47,56,68,82,110,124,127,151],"within-cluster":[38],"instances":[39,49],"around":[40],"corresponding":[42],"hyperplane,":[44],"and":[45,153,165],"keeps":[46],"between-cluster":[48],"far":[50],"away.":[51],"Specifically,":[52],"our":[53],"owns":[55],"following":[57],"attractive":[58],"merits:":[59],"i)":[60],"primal":[62],"enhanced":[66],"least":[69],"squares":[70],"sense,":[71],"which":[72,115],"enjoys":[73],"effective":[75],"learning":[76],"procedure.":[77],"ii)":[78],"utilization":[80],"linear":[83,121],"<inline-formula":[84],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[85],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[86],"<tex-math":[87],"notation=\"LaTeX\">$L_{1}$":[88],"</tex-math></inline-formula>":[89],"-norm":[90],"loss":[91],"makes":[92],"be":[94],"more":[95,146],"robust":[96],"iii)":[101],"An":[102],"efficient":[103],"iterative":[104],"algorithm":[105,129],"presented":[107],"optimize":[109],"non-smooth":[111],"problem":[112],"MPMSVC,":[114],"only":[116],"involves":[117],"set":[119],"equations.":[122],"Also,":[123],"convergence":[125],"proposed":[128],"guaranteed":[131],"theoretically.":[132],"iv)":[133],"nonlinear":[135],"extension":[136],"further":[138],"derived":[139],"via":[140],"kernel":[141],"technique":[142],"deal":[144],"with":[145],"complex":[147],"Finally,":[150],"feasibility":[152],"effectiveness":[154],"validated":[158],"by":[159],"extensive":[160],"experiments":[161],"on":[162],"both":[163],"synthetic":[164],"real-world":[166],"datasets.":[167]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}