{"id":"https://openalex.org/W2154316823","doi":"https://doi.org/10.1109/cmpsac.1979.762486","title":"Optimal linear discriminant functions and their application","display_name":"Optimal linear discriminant functions and their application","publication_year":2005,"publication_date":"2005-08-24","ids":{"openalex":"https://openalex.org/W2154316823","doi":"https://doi.org/10.1109/cmpsac.1979.762486","mag":"2154316823"},"language":"en","primary_location":{"id":"doi:10.1109/cmpsac.1979.762486","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cmpsac.1979.762486","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"COMPSAC 79. Proceedings. Computer Software and The IEEE Computer Society's Third International Applications Conference, 1979.","raw_type":"proceedings-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/A5082650907","display_name":"Shuichi Shinmura","orcid":null},"institutions":[{"id":"https://openalex.org/I2800271857","display_name":"Sumco Corporation (Japan)","ror":"https://ror.org/01yp72g57","country_code":"JP","type":"company","lineage":["https://openalex.org/I2800271857"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"S. Shinmura","raw_affiliation_strings":["Sumisho Computer Service Corporation Limited, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Sumisho Computer Service Corporation Limited, Tokyo, Japan","institution_ids":["https://openalex.org/I2800271857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032875688","display_name":"Akihiko Miyake","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Miyake","raw_affiliation_strings":["Kawasaki, Japan"],"affiliations":[{"raw_affiliation_string":"Kawasaki, Japan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082650907"],"corresponding_institution_ids":["https://openalex.org/I2800271857"],"apc_list":null,"apc_paid":null,"fwci":0.4241,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.66778149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"167","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9876000285148621,"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":0.9876000285148621,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9825999736785889,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discriminant","display_name":"Discriminant","score":0.798125147819519},{"id":"https://openalex.org/keywords/linear-discriminant-analysis","display_name":"Linear discriminant analysis","score":0.7260977625846863},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5663802027702332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5576940178871155},{"id":"https://openalex.org/keywords/discriminant-function-analysis","display_name":"Discriminant function analysis","score":0.5563225746154785},{"id":"https://openalex.org/keywords/optimal-discriminant-analysis","display_name":"Optimal discriminant analysis","score":0.520082414150238},{"id":"https://openalex.org/keywords/data-set","display_name":"Data set","score":0.46906399726867676},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46495115756988525},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4623402953147888},{"id":"https://openalex.org/keywords/kernel-fisher-discriminant-analysis","display_name":"Kernel Fisher discriminant analysis","score":0.4531964063644409},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.43533506989479065},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.4237661063671112},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.42267662286758423},{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.42029958963394165},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36423370242118835},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3637210428714752},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34782910346984863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34782761335372925},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.30070769786834717}],"concepts":[{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.798125147819519},{"id":"https://openalex.org/C69738355","wikidata":"https://www.wikidata.org/wiki/Q1228929","display_name":"Linear discriminant analysis","level":2,"score":0.7260977625846863},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5663802027702332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5576940178871155},{"id":"https://openalex.org/C41771347","wikidata":"https://www.wikidata.org/wiki/Q1228929","display_name":"Discriminant function analysis","level":2,"score":0.5563225746154785},{"id":"https://openalex.org/C104500394","wikidata":"https://www.wikidata.org/wiki/Q17104912","display_name":"Optimal discriminant analysis","level":3,"score":0.520082414150238},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.46906399726867676},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46495115756988525},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4623402953147888},{"id":"https://openalex.org/C181367576","wikidata":"https://www.wikidata.org/wiki/Q6394184","display_name":"Kernel Fisher discriminant analysis","level":4,"score":0.4531964063644409},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.43533506989479065},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.4237661063671112},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.42267662286758423},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.42029958963394165},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36423370242118835},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3637210428714752},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34782910346984863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34782761335372925},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.30070769786834717},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C31510193","wikidata":"https://www.wikidata.org/wiki/Q1192553","display_name":"Facial recognition system","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cmpsac.1979.762486","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cmpsac.1979.762486","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"COMPSAC 79. Proceedings. Computer Software and The IEEE Computer Society's Third International Applications Conference, 1979.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2074510228","https://openalex.org/W2084511601","https://openalex.org/W2124268136","https://openalex.org/W2441246242","https://openalex.org/W6941288061"],"related_works":["https://openalex.org/W2141981133","https://openalex.org/W1963649114","https://openalex.org/W2068218029","https://openalex.org/W1978302214","https://openalex.org/W1984472287","https://openalex.org/W1534459252","https://openalex.org/W3147024994","https://openalex.org/W2025089370","https://openalex.org/W2162393942","https://openalex.org/W2143240582"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4],"an":[5],"optimal":[6,109],"linear":[7],"discriminant":[8,57],"function":[9],"algorithm":[10],"which":[11],"minimizes":[12],"the":[13,32,39,48,61,75,83,103],"error":[14],"rate":[15],"of":[16,24,78,87,91],"internal":[17],"samples.":[18],"We":[19,42,52,81,98],"apply":[20],"it":[21],"two":[22],"sets":[23],"data.":[25],"One":[26],"data":[27,36],"set":[28],"is":[29,34],"imaginary":[30],"and":[31,46,69,93,108],"other":[33,56],"actual":[35],"drawn":[37],"from":[38],"medical":[40],"field.":[41],"make":[43],"many":[44],"experiments":[45],"obtain":[47,99],"following":[49],"information:":[50],"1)":[51],"compare":[53],"O.L.D.F.":[54,73,86],"to":[55],"functions":[58],"such":[59],"as":[60],"Fisher,":[62],"Anderson":[63],"&":[64],"Bahadur,":[65],"multiple":[66],"logistic":[67],"model":[68],"quadratic":[70],"model.":[71],"Naturally,":[72],"generates":[74],"least":[76],"number":[77,90],"misclassifications.":[79],"2)":[80],"investigate":[82],"influence":[84],"on":[85],"sample":[88],"size,":[89],"variables":[92],"changing":[94],"Maharanobis'":[95],"distance.":[96],"3)":[97],"reinforcing":[100],"results":[101],"about":[102],"relationship":[104],"between":[105],"misclassified":[106],"samples":[107],"solutions.":[110]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}