{"id":"https://openalex.org/W2039536525","doi":"https://doi.org/10.1109/tpami.1986.4767823","title":"A Significant Plane for Two-Class Discrimination Problems","display_name":"A Significant Plane for Two-Class Discrimination Problems","publication_year":1986,"publication_date":"1986-07-01","ids":{"openalex":"https://openalex.org/W2039536525","doi":"https://doi.org/10.1109/tpami.1986.4767823","mag":"2039536525"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.1986.4767823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.1986.4767823","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","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/A5048771603","display_name":"Jacques Duch\u00eane","orcid":"https://orcid.org/0000-0003-1026-0669"},"institutions":[{"id":"https://openalex.org/I102516824","display_name":"Universit\u00e9 de Technologie de Compi\u00e8gne","ror":"https://ror.org/04y5kwa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I102516824"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J. Duchene","raw_affiliation_strings":["Department of Biomedical Engineering, Compiegne University, Compiegne, France","Department of Biomedical Engineering, Compiegne University, BP 233, 60206 Compiegne Cedex, France"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, Compiegne University, Compiegne, France","institution_ids":["https://openalex.org/I102516824"]},{"raw_affiliation_string":"Department of Biomedical Engineering, Compiegne University, BP 233, 60206 Compiegne Cedex, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048771603"],"corresponding_institution_ids":["https://openalex.org/I102516824"],"apc_list":null,"apc_paid":null,"fwci":1.6909,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84309201,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"PAMI-8","issue":"4","first_page":"557","last_page":"559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9861999750137329,"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"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9861999750137329,"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/T10057","display_name":"Face and Expression Recognition","score":0.9854000210762024,"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/T14257","display_name":"Advanced Measurement and Detection Methods","score":0.9553999900817871,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/linear-discriminant-analysis","display_name":"Linear discriminant analysis","score":0.8268804550170898},{"id":"https://openalex.org/keywords/discriminant","display_name":"Discriminant","score":0.8006854057312012},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.7291645407676697},{"id":"https://openalex.org/keywords/optimal-discriminant-analysis","display_name":"Optimal discriminant analysis","score":0.6995022296905518},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6793571710586548},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5917676687240601},{"id":"https://openalex.org/keywords/kernel-fisher-discriminant-analysis","display_name":"Kernel Fisher discriminant analysis","score":0.5146740078926086},{"id":"https://openalex.org/keywords/multiple-discriminant-analysis","display_name":"Multiple discriminant analysis","score":0.509762704372406},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.49509397149086},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4776769280433655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45399221777915955},{"id":"https://openalex.org/keywords/facial-recognition-system","display_name":"Facial recognition system","score":0.1483108103275299},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08367899060249329}],"concepts":[{"id":"https://openalex.org/C69738355","wikidata":"https://www.wikidata.org/wiki/Q1228929","display_name":"Linear discriminant analysis","level":2,"score":0.8268804550170898},{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.8006854057312012},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.7291645407676697},{"id":"https://openalex.org/C104500394","wikidata":"https://www.wikidata.org/wiki/Q17104912","display_name":"Optimal discriminant analysis","level":3,"score":0.6995022296905518},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6793571710586548},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5917676687240601},{"id":"https://openalex.org/C181367576","wikidata":"https://www.wikidata.org/wiki/Q6394184","display_name":"Kernel Fisher discriminant analysis","level":4,"score":0.5146740078926086},{"id":"https://openalex.org/C58596280","wikidata":"https://www.wikidata.org/wiki/Q28324849","display_name":"Multiple discriminant analysis","level":3,"score":0.509762704372406},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.49509397149086},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4776769280433655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45399221777915955},{"id":"https://openalex.org/C31510193","wikidata":"https://www.wikidata.org/wiki/Q1192553","display_name":"Facial recognition system","level":3,"score":0.1483108103275299},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08367899060249329}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tpami.1986.4767823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.1986.4767823","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.75,"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/W58767217","https://openalex.org/W1971747485","https://openalex.org/W2073127487","https://openalex.org/W2100775604","https://openalex.org/W4249012198"],"related_works":["https://openalex.org/W2141981133","https://openalex.org/W1984472287","https://openalex.org/W1978302214","https://openalex.org/W1963649114","https://openalex.org/W2025089370","https://openalex.org/W2321869780","https://openalex.org/W3147024994","https://openalex.org/W2162393942","https://openalex.org/W2371177901","https://openalex.org/W2113920489"],"abstract_inverted_index":{"In":[0,17],"solving":[1],"classification":[2],"problems,":[3],"the":[4,26,34,38,47],"Fisher":[5],"linear":[6],"discriminant":[7,21],"is":[8,43],"often":[9],"used":[10],"for":[11],"discriminating":[12],"between":[13],"two":[14],"pattern":[15],"classes.":[16],"addition":[18],"to":[19,33,45],"this":[20,23],"direction,":[22,31],"correspondence":[24],"proposes":[25],"use":[27],"of":[28],"a":[29],"second":[30],"orthogonal":[32],"first,":[35],"which":[36],"maximizes":[37],"projected":[39],"scatter.":[40],"An":[41],"example":[42],"provided":[44],"illustrate":[46],"method.":[48]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
