{"id":"https://openalex.org/W4410168479","doi":"https://doi.org/10.1142/s0217595925500150","title":"Nonparallel Quadratic Surfaces Support Vector Machine for Binary Classification","display_name":"Nonparallel Quadratic Surfaces Support Vector Machine for Binary Classification","publication_year":2025,"publication_date":"2025-05-06","ids":{"openalex":"https://openalex.org/W4410168479","doi":"https://doi.org/10.1142/s0217595925500150"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595925500150","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595925500150","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5108784744","display_name":"J. Zhang","orcid":"https://orcid.org/0009-0007-5608-2278"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiaxuan Zhang","raw_affiliation_strings":["School of Management, Qufu Normal University, Rizhao, Shandong 276800, P. R. China"],"raw_orcid":"https://orcid.org/0009-0007-5608-2278","affiliations":[{"raw_affiliation_string":"School of Management, Qufu Normal University, Rizhao, Shandong 276800, P. R. China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100600467","display_name":"Gang Wang","orcid":"https://orcid.org/0000-0001-6701-3373"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Wang","raw_affiliation_strings":["School of Management, Qufu Normal University, Rizhao, Shandong 276800, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-6701-3373","affiliations":[{"raw_affiliation_string":"School of Management, Qufu Normal University, Rizhao, Shandong 276800, P. R. China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jie Liu","orcid":"https://orcid.org/0009-0006-2564-1957"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Liu","raw_affiliation_strings":["School of Economics and Management, Wuhan University, Wuhan, Hubei 430072, P. R. China"],"raw_orcid":"https://orcid.org/0009-0006-2564-1957","affiliations":[{"raw_affiliation_string":"School of Economics and Management, Wuhan University, Wuhan, Hubei 430072, P. R. China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108784744"],"corresponding_institution_ids":["https://openalex.org/I202126657"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06977297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.6844000220298767,"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":0.6844000220298767,"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/T12111","display_name":"Industrial Vision Systems and Defect Detection","score":0.6660000085830688,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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/support-vector-machine","display_name":"Support vector machine","score":0.7236650586128235},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6200664043426514},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5942640900611877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5469222664833069},{"id":"https://openalex.org/keywords/relevance-vector-machine","display_name":"Relevance vector machine","score":0.42814841866493225},{"id":"https://openalex.org/keywords/binary-classification","display_name":"Binary classification","score":0.4214922785758972},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3592783212661743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3539634346961975},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34175798296928406},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11758378148078918},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0884631872177124}],"concepts":[{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.7236650586128235},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6200664043426514},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5942640900611877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5469222664833069},{"id":"https://openalex.org/C14948415","wikidata":"https://www.wikidata.org/wiki/Q7310972","display_name":"Relevance vector machine","level":3,"score":0.42814841866493225},{"id":"https://openalex.org/C66905080","wikidata":"https://www.wikidata.org/wiki/Q17005494","display_name":"Binary classification","level":3,"score":0.4214922785758972},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3592783212661743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3539634346961975},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34175798296928406},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11758378148078918},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0884631872177124}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0217595925500150","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595925500150","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4386331361","display_name":null,"funder_award_id":"ZR2021MA088","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G887957819","display_name":null,"funder_award_id":"12471292","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1987827662","https://openalex.org/W2063639589","https://openalex.org/W2081621367","https://openalex.org/W2119821739","https://openalex.org/W2170860445","https://openalex.org/W2300921526","https://openalex.org/W2405580001","https://openalex.org/W2507879340","https://openalex.org/W2558778539","https://openalex.org/W2782865993","https://openalex.org/W2790031975","https://openalex.org/W2952342634","https://openalex.org/W2969209099","https://openalex.org/W3023211159","https://openalex.org/W3088162569","https://openalex.org/W3093031590","https://openalex.org/W3106860847","https://openalex.org/W3157976194","https://openalex.org/W3170147864","https://openalex.org/W3199663023","https://openalex.org/W4226113632","https://openalex.org/W4249465073","https://openalex.org/W4288046198","https://openalex.org/W4289317922","https://openalex.org/W4306842281","https://openalex.org/W4307818651","https://openalex.org/W4318220106","https://openalex.org/W4318320854","https://openalex.org/W4320033877","https://openalex.org/W4362663195","https://openalex.org/W4387734759","https://openalex.org/W4389231539","https://openalex.org/W4390474718","https://openalex.org/W4391454469","https://openalex.org/W4392188212"],"related_works":["https://openalex.org/W2010005619","https://openalex.org/W2066952721","https://openalex.org/W2565312173","https://openalex.org/W2683383161","https://openalex.org/W2335152656","https://openalex.org/W2359936972","https://openalex.org/W2383027800","https://openalex.org/W2206547991","https://openalex.org/W2104936869","https://openalex.org/W2186666570"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,92],"novel":[4],"kernel-free":[5],"nonparallel":[6,24],"quadratic":[7,21,84],"surfaces":[8,22,85],"support":[9,86],"vector":[10,87],"machine":[11],"(NPQSSVM)":[12],"designed":[13],"for":[14,38],"binary":[15],"classification":[16,49,67],"problems.":[17],"Compared":[18],"to":[19,65,82],"existing":[20],"and":[23,42,73,109],"classifiers,":[25],"our":[26],"proposed":[27],"model":[28],"offers":[29],"several":[30],"significant":[31],"advantages:":[32],"(a)":[33],"it":[34,76],"eliminates":[35],"the":[36,61,100],"need":[37],"selecting":[39],"kernel":[40],"functions":[41],"their":[43],"associated":[44],"parameters":[45],"in":[46,105],"addressing":[47],"nonlinear":[48],"tasks;":[50],"(b)":[51],"by":[52],"employing":[53],"an":[54],"enhanced":[55],"alternating":[56],"direction":[57],"method":[58],"of":[59,95,107],"multipliers,":[60],"NPQSSVM":[62,101],"ensures":[63],"scalability":[64],"large-scale":[66],"problems":[68],"involving":[69],"both":[70],"numerous":[71],"instances":[72],"features;":[74],"(c)":[75],"demonstrates":[77],"stronger":[78],"sparsity":[79],"properties":[80],"compared":[81],"typical":[83],"machine.":[88],"Experimental":[89],"results":[90],"on":[91],"wide":[93],"range":[94],"datasets":[96],"consistently":[97],"demonstrate":[98],"that":[99],"outperforms":[102],"other":[103],"algorithms":[104],"terms":[106],"efficiency":[108],"accuracy.":[110]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
