{"id":"https://openalex.org/W2119174328","doi":"https://doi.org/10.1109/ijcnn.2004.1381145","title":"Applications of Clifford support vector machines and Clifford moments for classification","display_name":"Applications of Clifford support vector machines and Clifford moments for classification","publication_year":2005,"publication_date":"2005-02-28","ids":{"openalex":"https://openalex.org/W2119174328","doi":"https://doi.org/10.1109/ijcnn.2004.1381145","mag":"2119174328"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2004.1381145","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2004.1381145","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No.04CH37541)","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/A5017356611","display_name":"Eduardo Bayro\u2013Corrochano","orcid":"https://orcid.org/0000-0002-4738-3593"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"E. Bayro-Corrochano","raw_affiliation_strings":["Computer Science Department, GEOVIS Laboratory, Centro de Investigaci\u00f3n y de Estudios Avanazados del Instituto Polit\u00e9cnico Nacional, Guadalajara, Jalisco, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, GEOVIS Laboratory, Centro de Investigaci\u00f3n y de Estudios Avanazados del Instituto Polit\u00e9cnico Nacional, Guadalajara, Jalisco, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033514957","display_name":"Nancy Arana\u2010Daniel","orcid":"https://orcid.org/0000-0002-8803-9502"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"N. Arana-Daniel","raw_affiliation_strings":["Computer Science Department, GEOVIS Laboratory, Centro de Investigaci\u00f3n y de Estudios Avanazados del Instituto Polit\u00e9cnico Nacional, Guadalajara, Jalisco, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, GEOVIS Laboratory, Centro de Investigaci\u00f3n y de Estudios Avanazados del Instituto Polit\u00e9cnico Nacional, Guadalajara, Jalisco, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033572268","display_name":"R. Vallejo-Gutierrez","orcid":null},"institutions":[{"id":"https://openalex.org/I129858807","display_name":"Universidad de Guanajuato","ror":"https://ror.org/058cjye32","country_code":"MX","type":"education","lineage":["https://openalex.org/I129858807"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"R. Vallejo-Gutierrez","raw_affiliation_strings":["Escuela de Econom\u00eda, Universidad de Guanajuato, Guanajuato, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela de Econom\u00eda, Universidad de Guanajuato, Guanajuato, Mexico","institution_ids":["https://openalex.org/I129858807"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.20263529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"3003","last_page":"3008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9495000243186951,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/clifford-algebra","display_name":"Clifford algebra","score":0.8766388893127441},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.7296195030212402},{"id":"https://openalex.org/keywords/multivector","display_name":"Multivector","score":0.7179741859436035},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6397672891616821},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6349174380302429},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5882510542869568},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.5864735841751099},{"id":"https://openalex.org/keywords/classification-of-clifford-algebras","display_name":"Classification of Clifford algebras","score":0.5106993317604065},{"id":"https://openalex.org/keywords/clifford-analysis","display_name":"Clifford analysis","score":0.4987335205078125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4674205482006073},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4163845479488373},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39017876982688904},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2616819739341736},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24334290623664856},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10681995749473572},{"id":"https://openalex.org/keywords/filtered-algebra","display_name":"Filtered algebra","score":0.09293791651725769}],"concepts":[{"id":"https://openalex.org/C100856211","wikidata":"https://www.wikidata.org/wiki/Q674689","display_name":"Clifford algebra","level":3,"score":0.8766388893127441},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.7296195030212402},{"id":"https://openalex.org/C26238338","wikidata":"https://www.wikidata.org/wiki/Q2377336","display_name":"Multivector","level":5,"score":0.7179741859436035},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6397672891616821},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6349174380302429},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5882510542869568},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5864735841751099},{"id":"https://openalex.org/C51795389","wikidata":"https://www.wikidata.org/wiki/Q662523","display_name":"Classification of Clifford algebras","level":5,"score":0.5106993317604065},{"id":"https://openalex.org/C177547823","wikidata":"https://www.wikidata.org/wiki/Q5133083","display_name":"Clifford analysis","level":3,"score":0.4987335205078125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4674205482006073},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4163845479488373},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39017876982688904},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2616819739341736},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24334290623664856},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10681995749473572},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.09293791651725769},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138354692","wikidata":"https://www.wikidata.org/wiki/Q1231309","display_name":"Division algebra","level":4,"score":0.0},{"id":"https://openalex.org/C158650840","wikidata":"https://www.wikidata.org/wiki/Q907439","display_name":"Dirac operator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2004.1381145","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2004.1381145","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No.04CH37541)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1520203819","https://openalex.org/W1582195077","https://openalex.org/W2099345067","https://openalex.org/W2148603752","https://openalex.org/W2486389867","https://openalex.org/W2515973928"],"related_works":["https://openalex.org/W1515695641","https://openalex.org/W2504261970","https://openalex.org/W634347039","https://openalex.org/W2951210689","https://openalex.org/W2361911558","https://openalex.org/W1550736916","https://openalex.org/W2255935922","https://openalex.org/W2511784573","https://openalex.org/W4301001013","https://openalex.org/W2265500750"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"the":[3,12,21,30,35,55],"Clifford":[4,22,36,58],"support":[5,17],"vector":[6,18],"machines":[7,19],"as":[8],"a":[9],"generalization":[10],"of":[11,32,57],"real-":[13],"and":[14,42],"complex-":[15],"valued":[16],"using":[20,54],"geometric":[23,38],"algebra.":[24],"In":[25],"this":[26],"framework":[27],"we":[28],"handle":[29],"design":[31],"kernels":[33],"involving":[34],"or":[37],"product":[39],"for":[40],"linear":[41],"nonlinear":[43],"classification.":[44],"We":[45],"present":[46],"an":[47],"interesting":[48],"application":[49],"to":[50],"classify":[51],"mechanical":[52],"tools":[53],"concept":[56],"moments":[59],"which":[60],"is":[61],"invariant":[62],"under":[63],"affine":[64],"transformations.":[65]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}