{"id":"https://openalex.org/W2525086963","doi":"https://doi.org/10.1109/eusipco.2016.7760240","title":"Approximate joint diagonalization within the Riemannian geometry framework","display_name":"Approximate joint diagonalization within the Riemannian geometry framework","publication_year":2016,"publication_date":"2016-08-01","ids":{"openalex":"https://openalex.org/W2525086963","doi":"https://doi.org/10.1109/eusipco.2016.7760240","mag":"2525086963"},"language":"en","primary_location":{"id":"doi:10.1109/eusipco.2016.7760240","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2016.7760240","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 24th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01370052","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079968302","display_name":"Florent Bouchard","orcid":"https://orcid.org/0000-0003-3003-7317"},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Florent Bouchard","raw_affiliation_strings":["GIPSA-lab, Grenoble Institute of Technology, Grenoble, France","GIPSA-VIBS - GIPSA - Vision and Brain Signal Processing (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"GIPSA-lab, Grenoble Institute of Technology, Grenoble, France","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I4210124956"]},{"raw_affiliation_string":"GIPSA-VIBS - GIPSA - Vision and Brain Signal Processing (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086140781","display_name":"Louis Korczowski","orcid":"https://orcid.org/0000-0002-7982-5739"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Louis Korczowski","raw_affiliation_strings":["GIPSA-lab, Grenoble Institute of Technology, Grenoble, France","GIPSA-VIBS - GIPSA - Vision and Brain Signal Processing (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"GIPSA-lab, Grenoble Institute of Technology, Grenoble, France","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I4210124956"]},{"raw_affiliation_string":"GIPSA-VIBS - GIPSA - Vision and Brain Signal Processing (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007412200","display_name":"J\u00e9r\u00f4me Malick","orcid":"https://orcid.org/0000-0003-0371-0457"},"institutions":[{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210149092","display_name":"Laboratoire Jean Kuntzmann","ror":"https://ror.org/04ett5b41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210149092","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jerome Malick","raw_affiliation_strings":["LJK, Univ. Grenoble Alpes, Grenoble, France","DAO - Donn\u00e9es, Apprentissage et Optimisation (France)"],"affiliations":[{"raw_affiliation_string":"LJK, Univ. Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I4210149092"]},{"raw_affiliation_string":"DAO - Donn\u00e9es, Apprentissage et Optimisation (France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076161191","display_name":"Marco Congedo","orcid":"https://orcid.org/0000-0003-2196-0409"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marco Congedo","raw_affiliation_strings":["GIPSA-lab, Grenoble Institute of Technology, Grenoble, France","GIPSA-VIBS - GIPSA - Vision and Brain Signal Processing (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"GIPSA-lab, Grenoble Institute of Technology, Grenoble, France","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I4210124956"]},{"raw_affiliation_string":"GIPSA-VIBS - GIPSA - Vision and Brain Signal Processing (GIPSA-lab, 11 rue des Math\u00e9matiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079968302"],"corresponding_institution_ids":["https://openalex.org/I106785703","https://openalex.org/I4210124956"],"apc_list":null,"apc_paid":null,"fwci":0.5044,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64737406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":null,"first_page":"210","last_page":"214"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9713000059127808,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9416999816894531,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6587685346603394},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.655476450920105},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.6135208606719971},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.508801281452179},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4997720718383789},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4856392443180084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47951486706733704},{"id":"https://openalex.org/keywords/stiefel-manifold","display_name":"Stiefel manifold","score":0.46309614181518555},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4535752534866333},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4529028832912445},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44238054752349854},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.4318528175354004},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4269307255744934},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32461750507354736},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32328224182128906},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29439762234687805},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2241927683353424},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18762686848640442},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0727853775024414}],"concepts":[{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6587685346603394},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.655476450920105},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.6135208606719971},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.508801281452179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4997720718383789},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4856392443180084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47951486706733704},{"id":"https://openalex.org/C612670","wikidata":"https://www.wikidata.org/wiki/Q7616373","display_name":"Stiefel manifold","level":2,"score":0.46309614181518555},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4535752534866333},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4529028832912445},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44238054752349854},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.4318528175354004},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4269307255744934},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32461750507354736},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32328224182128906},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29439762234687805},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2241927683353424},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18762686848640442},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0727853775024414},{"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/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/eusipco.2016.7760240","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2016.7760240","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 24th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01370052v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01370052","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EUSIPCO 2016 - 24th European Signal Processing Conference, Aug 2016, Budapest, Hungary. pp.210-214, &#x27E8;10.1109/EUSIPCO.2016.7760240&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01370052v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01370052","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EUSIPCO 2016 - 24th European Signal Processing Conference, Aug 2016, Budapest, Hungary. pp.210-214, &#x27E8;10.1109/EUSIPCO.2016.7760240&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W187442656","https://openalex.org/W585133165","https://openalex.org/W1535432589","https://openalex.org/W1706213869","https://openalex.org/W1755563775","https://openalex.org/W1804110266","https://openalex.org/W1989581163","https://openalex.org/W2019927695","https://openalex.org/W2112220340","https://openalex.org/W2151034540","https://openalex.org/W2160559331","https://openalex.org/W2167623372","https://openalex.org/W2285512060","https://openalex.org/W2338546148","https://openalex.org/W4205293427","https://openalex.org/W6607666276","https://openalex.org/W6684641359"],"related_works":["https://openalex.org/W2126146080","https://openalex.org/W8105021","https://openalex.org/W4287783587","https://openalex.org/W3023902066","https://openalex.org/W3137801329","https://openalex.org/W2999284236","https://openalex.org/W46024256","https://openalex.org/W2556460356","https://openalex.org/W4287259156","https://openalex.org/W2084640076"],"abstract_inverted_index":{"We":[0,23],"consider":[1],"the":[2,10,19,34,62],"approximate":[3],"joint":[4,107],"diagonalization":[5],"problem":[6,17],"(AJD)":[7],"related":[8],"to":[9,33,55,60,69,103],"well":[11],"known":[12],"blind":[13],"source":[14],"separation":[15],"(BSS)":[16],"within":[18],"Riemannian":[20,49,85],"geometry":[21],"framework.":[22],"define":[24,56],"a":[25,41,57],"new":[26,58],"manifold":[27,31],"named":[28],"special":[29],"polar":[30],"equivalent":[32],"set":[35],"of":[36,44,78],"full":[37],"rank":[38],"matrices":[39],"with":[40],"unit":[42],"determinant":[43],"their":[45],"Gram":[46],"matrix.":[47],"The":[48],"trust-region":[50],"optimization":[51,86],"algorithm":[52],"allows":[53],"us":[54],"method":[59,66],"solve":[61],"AJD":[63,105],"problem.":[64],"This":[65,84],"is":[67,94],"compared":[68],"previously":[70],"published":[71],"NoJOB":[72],"and":[73,80],"UWEDGE":[74],"algorithms":[75],"by":[76],"means":[77],"simulations":[79],"shows":[81,89],"comparable":[82],"performances.":[83],"approach":[87],"thus":[88],"promising":[90],"results.":[91],"Since":[92],"it":[93,98],"also":[95],"very":[96],"flexible,":[97],"can":[99],"be":[100],"easily":[101],"extended":[102],"block":[104],"or":[106],"BSS.":[108]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
