{"id":"https://openalex.org/W2046924429","doi":"https://doi.org/10.1080/10556780500137066","title":"Knowledge-based semidefinite linear programming classifiers","display_name":"Knowledge-based semidefinite linear programming classifiers","publication_year":2006,"publication_date":"2006-06-27","ids":{"openalex":"https://openalex.org/W2046924429","doi":"https://doi.org/10.1080/10556780500137066","mag":"2046924429"},"language":"en","primary_location":{"id":"doi:10.1080/10556780500137066","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780500137066","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"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":"Optimization Methods and Software","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/A5026027785","display_name":"V. Jeyakumar","orcid":"https://orcid.org/0000-0003-0267-7800"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"V. Jeyakumar","raw_affiliation_strings":["School of Mathematics, University of New South Wales, Sydney, 2052, Australia","School of Mathematics, University of New South Wales, Sydney, 2052, Australia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of New South Wales, Sydney, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Mathematics, University of New South Wales, Sydney, 2052, Australia#TAB#","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050677327","display_name":"John T. Ormerod","orcid":"https://orcid.org/0000-0002-4650-7507"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"J. Ormerod","raw_affiliation_strings":["School of Mathematics, University of New South Wales, Sydney, 2052, Australia","School of Mathematics, University of New South Wales, Sydney, 2052, Australia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of New South Wales, Sydney, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Mathematics, University of New South Wales, Sydney, 2052, Australia#TAB#","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049066971","display_name":"Robert S. Womersley","orcid":"https://orcid.org/0000-0002-1271-6001"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"R. S. Womersley","raw_affiliation_strings":["School of Mathematics, University of New South Wales, Sydney, 2052, Australia","School of Mathematics, University of New South Wales, Sydney, 2052, Australia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of New South Wales, Sydney, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Mathematics, University of New South Wales, Sydney, 2052, Australia#TAB#","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026027785"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":0.8607,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.72450953,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"5","first_page":"693","last_page":"706"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980000257492065,"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/T11236","display_name":"Control Systems and Identification","score":0.9865999817848206,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.8234461545944214},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.7171145677566528},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.7167798280715942},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6691119074821472},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5204306244850159},{"id":"https://openalex.org/keywords/classifier","display_name":"Classifier (UML)","score":0.4742026627063751},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46067771315574646},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.4532015919685364},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.44307228922843933},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4264970123767853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.377744197845459},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3758024573326111},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2639981806278229},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.25316905975341797},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.20581993460655212},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06318452954292297}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.8234461545944214},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.7171145677566528},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.7167798280715942},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6691119074821472},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5204306244850159},{"id":"https://openalex.org/C95623464","wikidata":"https://www.wikidata.org/wiki/Q1096149","display_name":"Classifier (UML)","level":2,"score":0.4742026627063751},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46067771315574646},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.4532015919685364},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.44307228922843933},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4264970123767853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.377744197845459},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3758024573326111},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2639981806278229},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.25316905975341797},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.20581993460655212},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06318452954292297}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556780500137066","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780500137066","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"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":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W146900863","https://openalex.org/W391578156","https://openalex.org/W1506224418","https://openalex.org/W1539150806","https://openalex.org/W1573598582","https://openalex.org/W1586882435","https://openalex.org/W1967073510","https://openalex.org/W1968995577","https://openalex.org/W1981276685","https://openalex.org/W1999619808","https://openalex.org/W2037005512","https://openalex.org/W2044845604","https://openalex.org/W2092569137","https://openalex.org/W2102909657","https://openalex.org/W2121649666","https://openalex.org/W2128202699","https://openalex.org/W2129894900","https://openalex.org/W2137346077","https://openalex.org/W2139998576","https://openalex.org/W2156909104","https://openalex.org/W2610857016","https://openalex.org/W2912522929","https://openalex.org/W3017068026","https://openalex.org/W4230674625"],"related_works":["https://openalex.org/W2385886188","https://openalex.org/W2288891047","https://openalex.org/W2524928742","https://openalex.org/W2362452378","https://openalex.org/W2353517195","https://openalex.org/W3166939022","https://openalex.org/W1727084346","https://openalex.org/W2544939111","https://openalex.org/W2386048074","https://openalex.org/W2572095861"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"knowledge-based":[5],"support":[6],"vector":[7],"machine":[8],"(SVM)":[9],"classifiers":[10],"using":[11],"semidefinite":[12,42,56,78],"linear":[13,43,57,79],"programming.":[14],"SVMs":[15],"are":[16,52],"an":[17],"optimization-based":[18],"solution":[19],"method":[20],"for":[21],"large-scale":[22],"data":[23],"classification":[24],"problems.":[25],"Knowledge-based":[26],"SVM":[27],"classifiers,":[28],"where":[29],"prior":[30,92],"knowledge":[31,93],"is":[32,81],"in":[33,40],"the":[34,61,68,84,99],"form":[35],"of":[36,63,67,98],"ellipsoidal":[37],"constraints,":[38],"result":[39],"a":[41,46,64,72],"programme":[44,80],"with":[45],"set":[47,69],"containment":[48,70],"constraint.":[49],"These":[50],"problems":[51,59],"reformulated":[53,77],"as":[54],"standard":[55],"programming":[58],"by":[60,83],"application":[62],"dual":[65],"characterization":[66],"under":[71],"mild":[73],"regularity":[74],"condition.":[75],"The":[76],"solved":[82],"publicly":[85],"available":[86],"solvers.":[87],"Computational":[88],"results":[89],"show":[90],"that":[91],"can":[94],"often":[95],"improve":[96],"correctness":[97],"classifier.":[100]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}