{"id":"https://openalex.org/W1594078767","doi":"https://doi.org/10.1109/ijcnn.2005.1556033","title":"Diagonally weighted and shifted criteria for minor and principal component extraction","display_name":"Diagonally weighted and shifted criteria for minor and principal component extraction","publication_year":2006,"publication_date":"2006-01-05","ids":{"openalex":"https://openalex.org/W1594078767","doi":"https://doi.org/10.1109/ijcnn.2005.1556033","mag":"1594078767"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2005.1556033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2005.1556033","pdf_url":null,"source":{"id":"https://openalex.org/S4363609022","display_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","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/A5024426963","display_name":"M.A. Hasan","orcid":"https://orcid.org/0000-0003-4103-7945"},"institutions":[{"id":"https://openalex.org/I4210115145","display_name":"University of Minnesota, Duluth","ror":"https://ror.org/01hy4qx27","country_code":"US","type":"education","lineage":["https://openalex.org/I4210115145"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M.A. Hasan","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Minnesota, Duluth, USA","Dept of Electr. & Comput. Eng., Minnesota Univ., Duluth, MN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Minnesota, Duluth, USA","institution_ids":["https://openalex.org/I4210115145"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Eng., Minnesota Univ., Duluth, MN, USA","institution_ids":["https://openalex.org/I4210115145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024426963"],"corresponding_institution_ids":["https://openalex.org/I4210115145"],"apc_list":null,"apc_paid":null,"fwci":6.5266,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.97547302,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1251","last_page":"1256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9937999844551086,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9937999844551086,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12169","display_name":"Non-Destructive Testing Techniques","score":0.9620000123977661,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/principal-component-analysis","display_name":"Principal component analysis","score":0.899855375289917},{"id":"https://openalex.org/keywords/minor","display_name":"Minor (academic)","score":0.8507372140884399},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.676023006439209},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.5330955386161804},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5199669599533081},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5101352334022522},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.48727357387542725},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44293132424354553},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.423324853181839},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4073198437690735},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3840649127960205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3752748668193817},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3364262580871582},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13644331693649292},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08945691585540771}],"concepts":[{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.899855375289917},{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.8507372140884399},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.676023006439209},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.5330955386161804},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5199669599533081},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5101352334022522},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.48727357387542725},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44293132424354553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.423324853181839},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4073198437690735},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3840649127960205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3752748668193817},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3364262580871582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13644331693649292},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08945691585540771},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2005.1556033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2005.1556033","pdf_url":null,"source":{"id":"https://openalex.org/S4363609022","display_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W5731987","https://openalex.org/W1976045444","https://openalex.org/W2032388586","https://openalex.org/W2036492187","https://openalex.org/W2045512849","https://openalex.org/W2114697907","https://openalex.org/W2120599807","https://openalex.org/W2131329059","https://openalex.org/W2133776435","https://openalex.org/W2135591374","https://openalex.org/W2144689866","https://openalex.org/W2156529323","https://openalex.org/W2163690922","https://openalex.org/W2432567885"],"related_works":["https://openalex.org/W2368619281","https://openalex.org/W2377143628","https://openalex.org/W2355995962","https://openalex.org/W2392462513","https://openalex.org/W2362718971","https://openalex.org/W2368173763","https://openalex.org/W2977970519","https://openalex.org/W191560551","https://openalex.org/W1972373683","https://openalex.org/W2000169474"],"abstract_inverted_index":{"A":[0,49],"framework":[1],"for":[2,24,58,92,99],"a":[3,22,25,38],"class":[4],"of":[5,51,65,74,87],"minor":[6,52,101],"and":[7,19,53,61,89],"principal":[8,54,95,105],"component":[9,55,96,102,106],"learning":[10,56],"rules":[11,15,57],"is":[12],"presented.":[13],"These":[14,77],"compute":[16],"multiple":[17,94],"eigenvectors":[18],"not":[20],"only":[21],"basis":[23],"multi-dimensional":[26],"eigenspace.":[27],"Several":[28],"MCA/PCA":[29],"cost":[30],"functions":[31],"which":[32,66],"are":[33,41,67,69,108],"weighted":[34],"or":[35,46,85],"shifted":[36],"by":[37,71],"diagonal":[39],"matrix":[40,62],"optimized":[42],"subject":[43],"to":[44],"orthogonal":[45],"symmetric":[47,59],"constraints.":[48],"number":[50],"matrices":[60],"pencils,":[63],"many":[64],"new,":[68],"obtained":[70],"exploiting":[72],"symmetry":[73],"constrained":[75],"criteria.":[76],"algorithms":[78],"may":[79],"be":[80],"seen":[81],"as":[82],"the":[83],"counterparts":[84],"generalization":[86],"Oja's":[88],"Xu's":[90],"systems":[91],"computing":[93],"analyzers.":[97],"Procedures":[98],"converting":[100],"flows":[103,107],"into":[104],"also":[109],"discussed.":[110]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}