{"id":"https://openalex.org/W155741936","doi":"https://doi.org/10.1007/978-3-7908-2604-3_20","title":"Indefinite Kernel Discriminant Analysis","display_name":"Indefinite Kernel Discriminant Analysis","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W155741936","doi":"https://doi.org/10.1007/978-3-7908-2604-3_20","mag":"155741936"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-7908-2604-3_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7908-2604-3_20","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/A5073837806","display_name":"Bernard Haasdonk","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Bernard Haasdonk","raw_affiliation_strings":["Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084835631","display_name":"El\u017cbieta P\u0119kalska","orcid":null},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"El\u017cbieta P\u0229kalska","raw_affiliation_strings":["School of Computer Science, University of Manchester, Manchester, UK"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Manchester, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073837806"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":0.2571,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.4748474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"221","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.996399998664856,"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":0.996399998664856,"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/T10320","display_name":"Neural Networks and Applications","score":0.9952999949455261,"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"}},{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9807999730110168,"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/kernel-fisher-discriminant-analysis","display_name":"Kernel Fisher discriminant analysis","score":0.9070805311203003},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.7691810131072998},{"id":"https://openalex.org/keywords/linear-discriminant-analysis","display_name":"Linear discriminant analysis","score":0.6761677265167236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.658334493637085},{"id":"https://openalex.org/keywords/mahalanobis-distance","display_name":"Mahalanobis distance","score":0.6555037498474121},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.6183245182037354},{"id":"https://openalex.org/keywords/variable-kernel-density-estimation","display_name":"Variable kernel density estimation","score":0.5683979988098145},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5569507479667664},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5445823669433594},{"id":"https://openalex.org/keywords/kernel-principal-component-analysis","display_name":"Kernel principal component analysis","score":0.5145144462585449},{"id":"https://openalex.org/keywords/discriminant","display_name":"Discriminant","score":0.506308913230896},{"id":"https://openalex.org/keywords/fisher-kernel","display_name":"Fisher kernel","score":0.49336495995521545},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.4725211262702942},{"id":"https://openalex.org/keywords/radial-basis-function-kernel","display_name":"Radial basis function kernel","score":0.45451638102531433},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3335941433906555},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26050978899002075},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.15578767657279968},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11364999413490295}],"concepts":[{"id":"https://openalex.org/C181367576","wikidata":"https://www.wikidata.org/wiki/Q6394184","display_name":"Kernel Fisher discriminant analysis","level":4,"score":0.9070805311203003},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7691810131072998},{"id":"https://openalex.org/C69738355","wikidata":"https://www.wikidata.org/wiki/Q1228929","display_name":"Linear discriminant analysis","level":2,"score":0.6761677265167236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.658334493637085},{"id":"https://openalex.org/C1921717","wikidata":"https://www.wikidata.org/wiki/Q1334846","display_name":"Mahalanobis distance","level":2,"score":0.6555037498474121},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.6183245182037354},{"id":"https://openalex.org/C195699287","wikidata":"https://www.wikidata.org/wiki/Q7915722","display_name":"Variable kernel density estimation","level":4,"score":0.5683979988098145},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5569507479667664},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5445823669433594},{"id":"https://openalex.org/C182335926","wikidata":"https://www.wikidata.org/wiki/Q17093020","display_name":"Kernel principal component analysis","level":4,"score":0.5145144462585449},{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.506308913230896},{"id":"https://openalex.org/C207798031","wikidata":"https://www.wikidata.org/wiki/Q8563425","display_name":"Fisher kernel","level":5,"score":0.49336495995521545},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.4725211262702942},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.45451638102531433},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3335941433906555},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26050978899002075},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.15578767657279968},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11364999413490295}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-7908-2604-3_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7908-2604-3_20","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W186608390","https://openalex.org/W194875375","https://openalex.org/W1480708938","https://openalex.org/W1510073064","https://openalex.org/W1624632629","https://openalex.org/W1979662950","https://openalex.org/W2028590934","https://openalex.org/W2041657594","https://openalex.org/W2100781145","https://openalex.org/W2101156082","https://openalex.org/W2123818990","https://openalex.org/W2125598731","https://openalex.org/W2129971280","https://openalex.org/W2150796457","https://openalex.org/W2289808822","https://openalex.org/W2333649886","https://openalex.org/W2799061466","https://openalex.org/W3119651796"],"related_works":["https://openalex.org/W2015311866","https://openalex.org/W2610521515","https://openalex.org/W1509134351","https://openalex.org/W2905418897","https://openalex.org/W2079825755","https://openalex.org/W2043888321","https://openalex.org/W2035337734","https://openalex.org/W2068526999","https://openalex.org/W2114252311","https://openalex.org/W2048352225"],"abstract_inverted_index":{"Kernel":[0],"methods":[1,39],"for":[2],"data":[3],"analysis":[4,38],"are":[5,50,63],"frequently":[6],"considered":[7],"to":[8,11],"be":[9,42],"restricted":[10],"positive":[12],"definite":[13],"kernels.":[14,46],"In":[15,47],"practice,":[16],"however,":[17],"indefinite":[18,45,70],"kernels":[19],"arise":[20],"e.g.":[21],"from":[22],"problem-specific":[23],"kernel":[24,36,53,58],"construction":[25],"or":[26],"optimized":[27],"similarity":[28],"measures.We,":[29],"therefore,":[30],"present":[31],"formal":[32],"extensions":[33],"of":[34],"some":[35],"discriminant":[37,55],"which":[40],"can":[41],"used":[43],"with":[44],"particular":[48],"these":[49],"the":[51,57],"multi-class":[52,71],"Fisher":[54],"and":[56],"Mahalanobis":[59],"distance.":[60],"The":[61],"approaches":[62],"empirically":[64],"evaluated":[65],"in":[66],"classification":[67],"scenarios":[68],"on":[69],"datasets.":[72]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
