{"id":"https://openalex.org/W151031442","doi":"https://doi.org/10.1007/978-3-7908-2604-3_62","title":"Separable Two-Dimensional Linear Discriminant Analysis","display_name":"Separable Two-Dimensional Linear Discriminant Analysis","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W151031442","doi":"https://doi.org/10.1007/978-3-7908-2604-3_62","mag":"151031442"},"language":"it","primary_location":{"id":"doi:10.1007/978-3-7908-2604-3_62","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7908-2604-3_62","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of COMPSTAT'2010","raw_type":"book-chapter"},"type":"book-chapter","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/A5104080365","display_name":"Jianhua Zhao","orcid":"https://orcid.org/0000-0003-4028-8478"},"institutions":[{"id":"https://openalex.org/I49185572","display_name":"Yunnan University of Finance And Economics","ror":"https://ror.org/04rhev598","country_code":"CN","type":"education","lineage":["https://openalex.org/I49185572"]},{"id":"https://openalex.org/I4210088341","display_name":"University of Finance and Economics","ror":"https://ror.org/005d8s603","country_code":"MN","type":"education","lineage":["https://openalex.org/I4210088341"]}],"countries":["CN","MN"],"is_corresponding":true,"raw_author_name":"Jianhua Zhao","raw_affiliation_strings":["School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, China","Yunnan University of Finance and Economics"],"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, China","institution_ids":["https://openalex.org/I49185572"]},{"raw_affiliation_string":"Yunnan University of Finance and Economics","institution_ids":["https://openalex.org/I49185572","https://openalex.org/I4210088341"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018396769","display_name":"Philip L. H. Yu","orcid":"https://orcid.org/0000-0002-9449-0420"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Philip L.H. Yu","raw_affiliation_strings":["Department of Statistics and Actuarial Science, The University of Hong Kong, Hong Kong, China","The University of Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Actuarial Science, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"The University of Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101843152","display_name":"Shulan Li","orcid":"https://orcid.org/0000-0001-7087-6479"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shulan Li","raw_affiliation_strings":["Department of Mathematics and Statistics, Yunnan University, Kunming, China","YUNNAN UNIVERSITY,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Yunnan University, Kunming, China","institution_ids":["https://openalex.org/I189210763"]},{"raw_affiliation_string":"YUNNAN UNIVERSITY,","institution_ids":["https://openalex.org/I189210763"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5104080365"],"corresponding_institution_ids":["https://openalex.org/I4210088341","https://openalex.org/I49185572"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04416925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"597","last_page":"604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9943000078201294,"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":0.9943000078201294,"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9415000081062317,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9277999997138977,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/linear-discriminant-analysis","display_name":"Linear discriminant analysis","score":0.839701235294342},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.7784408330917358},{"id":"https://openalex.org/keywords/multiple-discriminant-analysis","display_name":"Multiple discriminant analysis","score":0.48615285754203796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46362876892089844},{"id":"https://openalex.org/keywords/optimal-discriminant-analysis","display_name":"Optimal discriminant analysis","score":0.4477342963218689},{"id":"https://openalex.org/keywords/discriminant","display_name":"Discriminant","score":0.42674311995506287},{"id":"https://openalex.org/keywords/kernel-fisher-discriminant-analysis","display_name":"Kernel Fisher discriminant analysis","score":0.42429760098457336},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4220249056816101},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.408115953207016},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3385215997695923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11836278438568115}],"concepts":[{"id":"https://openalex.org/C69738355","wikidata":"https://www.wikidata.org/wiki/Q1228929","display_name":"Linear discriminant analysis","level":2,"score":0.839701235294342},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7784408330917358},{"id":"https://openalex.org/C58596280","wikidata":"https://www.wikidata.org/wiki/Q28324849","display_name":"Multiple discriminant analysis","level":3,"score":0.48615285754203796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46362876892089844},{"id":"https://openalex.org/C104500394","wikidata":"https://www.wikidata.org/wiki/Q17104912","display_name":"Optimal discriminant analysis","level":3,"score":0.4477342963218689},{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.42674311995506287},{"id":"https://openalex.org/C181367576","wikidata":"https://www.wikidata.org/wiki/Q6394184","display_name":"Kernel Fisher discriminant analysis","level":4,"score":0.42429760098457336},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4220249056816101},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.408115953207016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3385215997695923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11836278438568115},{"id":"https://openalex.org/C31510193","wikidata":"https://www.wikidata.org/wiki/Q1192553","display_name":"Facial recognition system","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-7908-2604-3_62","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7908-2604-3_62","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of COMPSTAT'2010","raw_type":"book-chapter"},{"id":"pmh:oai:hub.hku.hk:10722/127200","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/127200","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference_Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1494263750","https://openalex.org/W1990552329","https://openalex.org/W2003860694","https://openalex.org/W2048168215","https://openalex.org/W2065990899","https://openalex.org/W2068222852","https://openalex.org/W2070110734","https://openalex.org/W2073404525","https://openalex.org/W2090341258","https://openalex.org/W2097366995","https://openalex.org/W2121647436","https://openalex.org/W2124173813","https://openalex.org/W2138217758","https://openalex.org/W2139006442","https://openalex.org/W2144143728","https://openalex.org/W2155413294","https://openalex.org/W2787894218","https://openalex.org/W3143172154","https://openalex.org/W3148198191","https://openalex.org/W4250689175"],"related_works":["https://openalex.org/W2141981133","https://openalex.org/W2068218029","https://openalex.org/W1984472287","https://openalex.org/W2025089370","https://openalex.org/W1963649114","https://openalex.org/W2348715601","https://openalex.org/W1978302214","https://openalex.org/W2162393942","https://openalex.org/W2321869780","https://openalex.org/W3147024994"],"abstract_inverted_index":{"Several":[0],"two-dimensional":[1],"linear":[2],"discriminant":[3],"analysis":[4],"LDA":[5],"(2DLDA)":[6],"methods":[7],"have":[8],"received":[9],"much":[10],"attention":[11],"in":[12,87],"recent":[13],"years.":[14],"Among":[15],"them,":[16],"the":[17,78],"2DLDA,":[18],"introduced":[19],"by":[20],"Ye,":[21],"Janardan":[22],"and":[23,55,92],"Li":[24],"(2005),":[25],"is":[26,32],"an":[27],"important":[28],"development.":[29],"However,":[30],"it":[31],"found":[33],"that":[34,68],"their":[35],"proposed":[36,82],"iterative":[37],"algorithm":[38],"does":[39],"not":[40],"guarantee":[41],"convergence.":[42],"In":[43],"this":[44],"paper,":[45],"we":[46],"assume":[47],"a":[48,62],"separable":[49,57,83],"covariance":[50],"matrix":[51],"of":[52,80,89],"2D":[53],"data":[54],"propose":[56],"2DLDA":[58,84,86],"which":[59],"can":[60],"provide":[61],"neatly":[63],"analytical":[64],"solution":[65],"similar":[66],"to":[67],"for":[69],"classical":[70],"LDA.":[71],"Empirical":[72],"results":[73],"on":[74],"face":[75],"recognition":[76],"demonstrate":[77],"superiority":[79],"our":[81],"over":[85],"terms":[88],"classification":[90],"accuracy":[91],"computational":[93],"efficiency.":[94]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
