{"id":"https://openalex.org/W2100486581","doi":"https://doi.org/10.1109/ijcnn.2004.1381148","title":"Kernel-based canonical coordinate decomposition of two-channel nonlinear maps","display_name":"Kernel-based canonical coordinate decomposition of two-channel nonlinear maps","publication_year":2005,"publication_date":"2005-02-28","ids":{"openalex":"https://openalex.org/W2100486581","doi":"https://doi.org/10.1109/ijcnn.2004.1381148","mag":"2100486581"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2004.1381148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2004.1381148","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":"conference-paper","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/A5028995727","display_name":"Ali Pezeshki","orcid":"https://orcid.org/0000-0002-7142-5685"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Pezeshki","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","Dept. of Electr. and Comput. Eng., Colorado State Univ., Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Dept. of Electr. and Comput. Eng., Colorado State Univ., Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017501434","display_name":"M.R. Azimi-Sadjadi","orcid":"https://orcid.org/0000-0003-1644-9833"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M.R. Azimi-Sadjadi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","Dept. of Electr. and Comput. Eng., Colorado State Univ., Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Dept. of Electr. and Comput. Eng., Colorado State Univ., Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080469112","display_name":"Louis L. Scharf","orcid":"https://orcid.org/0000-0003-1764-9335"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L.L. Scharf","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","Dept. of Electr. and Comput. Eng., Colorado State Univ., Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Dept. of Electr. and Comput. Eng., Colorado State Univ., Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I92446798"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"3019","last_page":"3024"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9980999827384949,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9980999827384949,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.7820049524307251},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6546929478645325},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.619955837726593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6175401210784912},{"id":"https://openalex.org/keywords/kernel-principal-component-analysis","display_name":"Kernel principal component analysis","score":0.5755295157432556},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.5344357490539551},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5152521729469299},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4743332266807556},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4385872483253479},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3442115783691406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33507055044174194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23080125451087952},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19495850801467896},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17988666892051697},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.07653871178627014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07566484808921814}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7820049524307251},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6546929478645325},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.619955837726593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6175401210784912},{"id":"https://openalex.org/C182335926","wikidata":"https://www.wikidata.org/wiki/Q17093020","display_name":"Kernel principal component analysis","level":4,"score":0.5755295157432556},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.5344357490539551},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5152521729469299},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4743332266807556},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4385872483253479},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3442115783691406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33507055044174194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23080125451087952},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19495850801467896},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17988666892051697},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.07653871178627014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07566484808921814},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2004.1381148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2004.1381148","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":23,"referenced_works":["https://openalex.org/W1484147505","https://openalex.org/W1536156198","https://openalex.org/W1592111270","https://openalex.org/W1863655787","https://openalex.org/W1981745143","https://openalex.org/W2028590934","https://openalex.org/W2046221019","https://openalex.org/W2101478599","https://openalex.org/W2102605525","https://openalex.org/W2119821739","https://openalex.org/W2130055251","https://openalex.org/W2140095548","https://openalex.org/W2144112537","https://openalex.org/W2149329249","https://openalex.org/W2150796457","https://openalex.org/W2156909104","https://openalex.org/W2797068740","https://openalex.org/W3023786531","https://openalex.org/W3144619878","https://openalex.org/W4230026591","https://openalex.org/W4239510810","https://openalex.org/W4243915041","https://openalex.org/W6635264510"],"related_works":["https://openalex.org/W1984421104","https://openalex.org/W2106786767","https://openalex.org/W2393746448","https://openalex.org/W2512565647","https://openalex.org/W2127229869","https://openalex.org/W2071590642","https://openalex.org/W2001772920","https://openalex.org/W2398887903","https://openalex.org/W2905418897","https://openalex.org/W2027376491"],"abstract_inverted_index":{"A":[0,106],"kernel-based":[1],"formulation":[2],"for":[3],"decomposing":[4],"nonlinear":[5,32,39,82,104],"maps":[6,40,48,83],"of":[7,37,53,70,75,84,102],"two":[8],"data":[9,18],"channels":[10,86],"into":[11],"their":[12],"canonical":[13,35],"coordinates":[14,36],"is":[15,20,64,109],"derived.":[16],"Each":[17],"channel":[19],"implicitly":[21],"mapped":[22],"to":[23],"a":[24,31,54],"high":[25],"dimensional":[26],"feature":[27],"space":[28,69],"defined":[29],"by":[30,44],"kernel.":[33],"The":[34,73],"the":[38,46,50,67,81,85,96,103],"are":[41,87],"then":[42],"found":[43],"transforming":[45],"kernel":[47,71,97],"with":[49],"eigenvector":[51],"matrices":[52],"coupled":[55],"asymmetric":[56],"generalized":[57,61],"eigenvalue":[58,62],"problem.":[59],"This":[60],"problem":[63],"constructed":[65],"in":[66,95],"explicit":[68,100],"maps.":[72],"measures":[74,91],"linear":[76],"dependence":[77],"and":[78],"coherence":[79],"between":[80],"also":[88,110],"presented.":[89,111],"These":[90],"may":[92],"be":[93],"determined":[94],"domain,":[98],"without":[99],"computation":[101],"mappings.":[105],"numerical":[107],"example":[108]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
