{"id":"https://openalex.org/W2151034540","doi":"https://doi.org/10.1109/icassp.2006.1661433","title":"Joint Diagonalization on the Oblique Manifold for Independent Component Analysis","display_name":"Joint Diagonalization on the Oblique Manifold for Independent Component Analysis","publication_year":2006,"publication_date":"2006-08-02","ids":{"openalex":"https://openalex.org/W2151034540","doi":"https://doi.org/10.1109/icassp.2006.1661433","mag":"2151034540"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2006.1661433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2006.1661433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings","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/A5034347171","display_name":"P.-A. Absil","orcid":"https://orcid.org/0000-0003-2946-4178"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE","GB"],"is_corresponding":true,"raw_author_name":"P.-A. Absil","raw_affiliation_strings":["Department of Mathematical Engineering, Universit\u00e9 catholique de Louvain, Belgium","University of Cambridge, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, Universit\u00e9 catholique de Louvain, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"University of Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018426276","display_name":"Kyle A. Gallivan","orcid":"https://orcid.org/0000-0003-4572-4240"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K.A. Gallivan","raw_affiliation_strings":["School of Computational Science, Florida State University, Tallahassee, FL, USA"],"affiliations":[{"raw_affiliation_string":"School of Computational Science, Florida State University, Tallahassee, FL, USA","institution_ids":["https://openalex.org/I103163165"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034347171"],"corresponding_institution_ids":["https://openalex.org/I241749","https://openalex.org/I95674353"],"apc_list":null,"apc_paid":null,"fwci":3.4981,"has_fulltext":false,"cited_by_count":100,"citation_normalized_percentile":{"value":0.93090828,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"5","issue":null,"first_page":"V","last_page":"945"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":1.0,"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/T10860","display_name":"Speech and Audio Processing","score":0.9860000014305115,"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.5982720851898193},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5578229427337646},{"id":"https://openalex.org/keywords/oblique-case","display_name":"Oblique case","score":0.5242469906806946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5218842625617981},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4902701675891876},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.48944488167762756},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46667730808258057},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4636901915073395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37992554903030396},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23518988490104675}],"concepts":[{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.5982720851898193},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5578229427337646},{"id":"https://openalex.org/C160697094","wikidata":"https://www.wikidata.org/wiki/Q1233197","display_name":"Oblique case","level":2,"score":0.5242469906806946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5218842625617981},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4902701675891876},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.48944488167762756},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46667730808258057},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4636901915073395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37992554903030396},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23518988490104675},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2006.1661433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2006.1661433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:104425","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/104425","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W35546012","https://openalex.org/W115121590","https://openalex.org/W1535432589","https://openalex.org/W1632150706","https://openalex.org/W1742709735","https://openalex.org/W1974824893","https://openalex.org/W1989581163","https://openalex.org/W2000389939","https://openalex.org/W2003239136","https://openalex.org/W2015361919","https://openalex.org/W2026892575","https://openalex.org/W2045512849","https://openalex.org/W2064404969","https://openalex.org/W2096059664","https://openalex.org/W2097607403","https://openalex.org/W2098486535","https://openalex.org/W2099741732","https://openalex.org/W2110662303","https://openalex.org/W2118078048","https://openalex.org/W2125550523","https://openalex.org/W2142638745","https://openalex.org/W2147631863","https://openalex.org/W2156529323","https://openalex.org/W2156665753","https://openalex.org/W2157050350","https://openalex.org/W2158218920","https://openalex.org/W2160034376","https://openalex.org/W2162211921","https://openalex.org/W3027959458","https://openalex.org/W3038420293","https://openalex.org/W4253314971","https://openalex.org/W6601440933"],"related_works":["https://openalex.org/W2385104873","https://openalex.org/W2035047702","https://openalex.org/W1600457464","https://openalex.org/W3001809259","https://openalex.org/W2150654092","https://openalex.org/W2388471861","https://openalex.org/W2373158124","https://openalex.org/W2319896040","https://openalex.org/W2997603844","https://openalex.org/W4366763345"],"abstract_inverted_index":{"Several":[0],"blind":[1],"source":[2],"separation":[3],"algorithms":[4],"obtain":[5],"a":[6,17,25,33,48,88],"separating":[7,59,74],"matrix":[8,75],"by":[9,71],"computing":[10],"the":[11,39,42,52,55,58,73,77],"congruence":[12],"transformation":[13],"that":[14],"\"best\"":[15],"diagonalizes":[16],"collection":[18],"of":[19,41,54,57,82],"covariance":[20],"matrices.":[21],"Recent":[22],"methods":[23],"avoid":[24],"pre-whitening":[26],"phase":[27],"and":[28,87],"directly":[29],"attempt":[30],"to":[31,76],"compute":[32],"non-orthogonal":[34,92],"diagonalizing":[35],"congruence.":[36],"However,":[37],"since":[38],"magnitude":[40],"sources":[43],"is":[44,47,85,95],"unknown,":[45],"there":[46],"fundamental":[49],"indeterminacy":[50,65],"on":[51],"norm":[53],"rows":[56],"matrix.":[60],"We":[61],"show":[62],"how":[63],"this":[64,83],"can":[66],"be":[67],"taken":[68],"into":[69],"account":[70],"restricting":[72],"oblique":[78],"manifold.":[79],"The":[80],"geometry":[81],"manifold":[84],"developed":[86],"trust-region-based":[89],"algorithm":[90],"for":[91],"joint":[93],"diagonalization":[94],"proposed":[96]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
