{"id":"https://openalex.org/W1830023598","doi":"https://doi.org/10.1109/ijcnn.2003.1223885","title":"A canonical coordinate decomposition network","display_name":"A canonical coordinate decomposition network","publication_year":2004,"publication_date":"2004-03-22","ids":{"openalex":"https://openalex.org/W1830023598","doi":"https://doi.org/10.1109/ijcnn.2003.1223885","mag":"1830023598"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2003.1223885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223885","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Joint Conference on Neural Networks, 2003.","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/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":true,"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"],"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":[]}]},{"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"],"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":[]}]},{"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"],"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":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028995727"],"corresponding_institution_ids":["https://openalex.org/I92446798"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07683229,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1313","last_page":"1317"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9991000294685364,"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":0.9991000294685364,"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/T10057","display_name":"Face and Expression Recognition","score":0.9957000017166138,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9889000058174133,"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/subnetwork","display_name":"Subnetwork","score":0.933085560798645},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6979419589042664},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6627757549285889},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.5496059060096741},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.544439971446991},{"id":"https://openalex.org/keywords/canonical-coordinates","display_name":"Canonical coordinates","score":0.5352917909622192},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49542343616485596},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4882988929748535},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.4823164939880371},{"id":"https://openalex.org/keywords/canonical-correlation","display_name":"Canonical correlation","score":0.4795896112918854},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4770043194293976},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3369305729866028},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33381301164627075},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2771925926208496}],"concepts":[{"id":"https://openalex.org/C2780186347","wikidata":"https://www.wikidata.org/wiki/Q11414","display_name":"Subnetwork","level":2,"score":0.933085560798645},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6979419589042664},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6627757549285889},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.5496059060096741},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.544439971446991},{"id":"https://openalex.org/C3379466","wikidata":"https://www.wikidata.org/wiki/Q1501876","display_name":"Canonical coordinates","level":3,"score":0.5352917909622192},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49542343616485596},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4882988929748535},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.4823164939880371},{"id":"https://openalex.org/C153874254","wikidata":"https://www.wikidata.org/wiki/Q115542","display_name":"Canonical correlation","level":2,"score":0.4795896112918854},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4770043194293976},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3369305729866028},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33381301164627075},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2771925926208496},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2003.1223885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223885","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Joint Conference on Neural Networks, 2003.","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":18,"referenced_works":["https://openalex.org/W1555711139","https://openalex.org/W2002011878","https://openalex.org/W2025341678","https://openalex.org/W2049252044","https://openalex.org/W2078626246","https://openalex.org/W2102605525","https://openalex.org/W2119501108","https://openalex.org/W2124776405","https://openalex.org/W2131329059","https://openalex.org/W2138044902","https://openalex.org/W2140984045","https://openalex.org/W2149329249","https://openalex.org/W2160287869","https://openalex.org/W2432567885","https://openalex.org/W2495940611","https://openalex.org/W4210945428","https://openalex.org/W4285719527","https://openalex.org/W6678851513"],"related_works":["https://openalex.org/W1968846550","https://openalex.org/W2067066590","https://openalex.org/W2157498938","https://openalex.org/W2182589214","https://openalex.org/W2079181692","https://openalex.org/W1955343808","https://openalex.org/W2047516836","https://openalex.org/W2525150876","https://openalex.org/W207577366","https://openalex.org/W2120081959"],"abstract_inverted_index":{"A":[0],"network":[1,10,99],"structure":[2,76],"for":[3,78,82,90],"canonical":[4,21,85],"coordinate":[5],"decomposition":[6],"is":[7,100],"presented.":[8],"The":[9,27,54,95],"consists":[11],"of":[12,23,30,48,65,97],"two":[13,24],"single-layer":[14],"linear":[15],"subnetworks":[16],"that":[17,61],"together":[18],"extract":[19],"the":[20,31,63,66,71,88,92,98],"coordinates":[22,69,86],"data":[25,73,105],"channels.":[26],"connection":[28],"weights":[29],"networks":[32],"are":[33],"trained":[34],"by":[35],"a":[36,45,58,103],"stochastic":[37],"gradient":[38],"descent":[39],"learning":[40],"algorithm.":[41],"Each":[42],"subnetwork":[43],"features":[44],"hierarchical":[46],"set":[47],"lateral":[49,55],"connections":[50,56],"among":[51],"its":[52],"outputs.":[53],"perform":[57],"deflation":[59],"process":[60],"subtracts":[62],"contribution":[64],"already":[67],"extracted":[68],"from":[70],"input":[72],"subspace.":[74],"This":[75],"allows":[77],"adding":[79],"new":[80],"nodes":[81],"extracting":[83],"additional":[84],"without":[87],"need":[89],"retraining":[91],"previous":[93],"nodes.":[94],"performance":[96],"evaluated":[101],"on":[102],"synthesized":[104],"set.":[106]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}