{"id":"https://openalex.org/W1593021438","doi":"https://doi.org/10.1007/978-3-540-74205-0_92","title":"Two Multi-class Lagrangian Support Vector Machine Algorithms","display_name":"Two Multi-class Lagrangian Support Vector Machine Algorithms","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1593021438","doi":"https://doi.org/10.1007/978-3-540-74205-0_92","mag":"1593021438"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-74205-0_92","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74205-0_92","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5040737744","display_name":"Hua Duan","orcid":"https://orcid.org/0000-0002-0947-2704"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Duan","raw_affiliation_strings":["College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, P.R. China","Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P.R. China","Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P.R. China and College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 2665 ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, P.R. China","institution_ids":["https://openalex.org/I80143920"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P.R. China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P.R. China and College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 2665 ...#TAB#","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044600062","display_name":"Quanchang Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quanchang Liu","raw_affiliation_strings":["College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, P.R. China","Coll. of Information Science and Engineering, Shandong Univ. of Science and Technology, Qingdao 266510, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, P.R. China","institution_ids":["https://openalex.org/I80143920"]},{"raw_affiliation_string":"Coll. of Information Science and Engineering, Shandong Univ. of Science and Technology, Qingdao 266510, P. R. China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108580579","display_name":"Guoping He","orcid":"https://orcid.org/0000-0003-3239-0667"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoping He","raw_affiliation_strings":["College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, P.R. China","Coll. of Information Science and Engineering, Shandong Univ. of Science and Technology, Qingdao 266510, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, P.R. China","institution_ids":["https://openalex.org/I80143920"]},{"raw_affiliation_string":"Coll. of Information Science and Engineering, Shandong Univ. of Science and Technology, Qingdao 266510, P. R. China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003178957","display_name":"Qingtian Zeng","orcid":"https://orcid.org/0000-0002-6421-8223"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingtian Zeng","raw_affiliation_strings":["College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, P.R. China","Coll. of Information Science and Engineering, Shandong Univ. of Science and Technology, Qingdao 266510, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, P.R. China","institution_ids":["https://openalex.org/I80143920"]},{"raw_affiliation_string":"Coll. of Information Science and Engineering, Shandong Univ. of Science and Technology, Qingdao 266510, P. R. China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"891","last_page":"899"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications","score":0.9958000183105469,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.9958000183105469,"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/T14392","display_name":"Geoscience and Mining Technology","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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":0.9807000160217285,"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/correctness","display_name":"Correctness","score":0.8798217177391052},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.8626202344894409},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.727120578289032},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6598742604255676},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6034661531448364},{"id":"https://openalex.org/keywords/relevance-vector-machine","display_name":"Relevance vector machine","score":0.6027059555053711},{"id":"https://openalex.org/keywords/structured-support-vector-machine","display_name":"Structured support vector machine","score":0.5028116106987},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46955376863479614},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4627890884876251},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.4124714732170105},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4095902144908905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19842493534088135},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.08815735578536987}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.8798217177391052},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.8626202344894409},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.727120578289032},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6598742604255676},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6034661531448364},{"id":"https://openalex.org/C14948415","wikidata":"https://www.wikidata.org/wiki/Q7310972","display_name":"Relevance vector machine","level":3,"score":0.6027059555053711},{"id":"https://openalex.org/C125168437","wikidata":"https://www.wikidata.org/wiki/Q7625184","display_name":"Structured support vector machine","level":3,"score":0.5028116106987},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46955376863479614},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4627890884876251},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.4124714732170105},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4095902144908905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19842493534088135},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.08815735578536987},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-74205-0_92","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74205-0_92","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W34176136","https://openalex.org/W324611197","https://openalex.org/W1494922272","https://openalex.org/W1604938182","https://openalex.org/W1621799579","https://openalex.org/W1676820704","https://openalex.org/W1999589609","https://openalex.org/W2052564542","https://openalex.org/W2065887373","https://openalex.org/W2069231281","https://openalex.org/W2098368939","https://openalex.org/W2113705938","https://openalex.org/W2148603752","https://openalex.org/W2153104898","https://openalex.org/W2156909104","https://openalex.org/W2157239837","https://openalex.org/W2168228682","https://openalex.org/W2170308301","https://openalex.org/W2172000360","https://openalex.org/W2282078507","https://openalex.org/W2601530120","https://openalex.org/W3163638146","https://openalex.org/W4246227092","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2565312173","https://openalex.org/W2186666570","https://openalex.org/W2104936869","https://openalex.org/W2122277321","https://openalex.org/W2206547991","https://openalex.org/W2143867687","https://openalex.org/W3144681993","https://openalex.org/W1948992892","https://openalex.org/W2364362706","https://openalex.org/W2539940072"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
