{"id":"https://openalex.org/W2792697231","doi":"https://doi.org/10.1109/tsp.2018.2795539","title":"Riemannian Optimization and Approximate Joint Diagonalization for Blind Source Separation","display_name":"Riemannian Optimization and Approximate Joint Diagonalization for Blind Source Separation","publication_year":2018,"publication_date":"2018-01-19","ids":{"openalex":"https://openalex.org/W2792697231","doi":"https://doi.org/10.1109/tsp.2018.2795539","mag":"2792697231"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2018.2795539","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2018.2795539","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01875788","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/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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","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/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Florent Bouchard","raw_affiliation_strings":["GIPSA-lab, CNRS, Grenoble Institute of Technology, University of Grenoble Alpes, 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)"],"raw_orcid":"https://orcid.org/0000-0003-3003-7317","affiliations":[{"raw_affiliation_string":"GIPSA-lab, CNRS, Grenoble Institute of Technology, University of Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I1294671590","https://openalex.org/I899635006","https://openalex.org/I106785703"]},{"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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jerome Malick","raw_affiliation_strings":["LJK, CNRS, University of Grenoble Alpes, Grenoble, France","DAO - Donn\u00e9es, Apprentissage et Optimisation (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LJK, CNRS, University of Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I4210149092","https://openalex.org/I1294671590"]},{"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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","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/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marco Congedo","raw_affiliation_strings":["GIPSA-lab, CNRS, Grenoble Institute of Technology, University of Grenoble Alpes, 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)"],"raw_orcid":"https://orcid.org/0000-0003-2196-0409","affiliations":[{"raw_affiliation_string":"GIPSA-lab, CNRS, Grenoble Institute of Technology, University of Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I1294671590","https://openalex.org/I899635006","https://openalex.org/I106785703"]},{"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":3,"corresponding_author_ids":["https://openalex.org/A5079968302"],"corresponding_institution_ids":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006"],"apc_list":null,"apc_paid":null,"fwci":2.4843,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.90051436,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"66","issue":"8","first_page":"2041","last_page":"2054"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9861000180244446,"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9855999946594238,"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/blind-signal-separation","display_name":"Blind signal separation","score":0.7230195999145508},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6157983541488647},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5750791430473328},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5539308786392212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4727264940738678},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46734127402305603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42940789461135864},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36734211444854736}],"concepts":[{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.7230195999145508},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6157983541488647},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5750791430473328},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5539308786392212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4727264940738678},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46734127402305603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42940789461135864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36734211444854736},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2018.2795539","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2018.2795539","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01875788v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01875788","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":"IEEE Transactions on Signal Processing, 2018, 66 (8), pp.2041-2054. ⟨10.1109/TSP.2018.2795539⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01875788v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01875788","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":"IEEE Transactions on Signal Processing, 2018, 66 (8), pp.2041-2054. ⟨10.1109/TSP.2018.2795539⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W88077589","https://openalex.org/W187442656","https://openalex.org/W385466589","https://openalex.org/W585133165","https://openalex.org/W1479979375","https://openalex.org/W1520168181","https://openalex.org/W1535432589","https://openalex.org/W1540403413","https://openalex.org/W1540632243","https://openalex.org/W1547871937","https://openalex.org/W1755563775","https://openalex.org/W1804110266","https://openalex.org/W1828572909","https://openalex.org/W1832327366","https://openalex.org/W1970789124","https://openalex.org/W1971392829","https://openalex.org/W1977983964","https://openalex.org/W1978381974","https://openalex.org/W1986964250","https://openalex.org/W1989581163","https://openalex.org/W1991840148","https://openalex.org/W1996355918","https://openalex.org/W2019543362","https://openalex.org/W2019927695","https://openalex.org/W2032236594","https://openalex.org/W2047851817","https://openalex.org/W2070316439","https://openalex.org/W2078179989","https://openalex.org/W2080130286","https://openalex.org/W2085010232","https://openalex.org/W2098760944","https://openalex.org/W2099741732","https://openalex.org/W2112220340","https://openalex.org/W2114493976","https://openalex.org/W2118078048","https://openalex.org/W2124195644","https://openalex.org/W2124757684","https://openalex.org/W2126250321","https://openalex.org/W2135526217","https://openalex.org/W2142975003","https://openalex.org/W2149663690","https://openalex.org/W2151034540","https://openalex.org/W2152502807","https://openalex.org/W2158218920","https://openalex.org/W2160559331","https://openalex.org/W2167623372","https://openalex.org/W2172001159","https://openalex.org/W2242568341","https://openalex.org/W2462905479","https://openalex.org/W2525086963","https://openalex.org/W2549348365","https://openalex.org/W2570697512","https://openalex.org/W2588877247","https://openalex.org/W2952372843","https://openalex.org/W2963532276","https://openalex.org/W2963684104","https://openalex.org/W2964068697","https://openalex.org/W4205293427","https://openalex.org/W6603558344","https://openalex.org/W6607666276","https://openalex.org/W6628836592","https://openalex.org/W6681158929","https://openalex.org/W6682148972","https://openalex.org/W6684641359","https://openalex.org/W6729295261"],"related_works":["https://openalex.org/W2349580982","https://openalex.org/W3217415483","https://openalex.org/W4285677055","https://openalex.org/W3104770499","https://openalex.org/W1992731528","https://openalex.org/W2007843488","https://openalex.org/W1994436307","https://openalex.org/W1987021796","https://openalex.org/W2795565301","https://openalex.org/W4387886124"],"abstract_inverted_index":{"We":[0,66,96,116],"consider":[1],"the":[2,9,37,41,44,47,68,103,125,151,154,160],"blind":[3],"source":[4],"separation":[5],"(BSS)":[6],"problem":[7,16,32,105],"and":[8,46,77,83,137,146,158],"closely":[10],"related":[11],"approximate":[12],"joint":[13],"diagonalization":[14],"(AJD)":[15],"of":[17,90,102,106,114,124,127,153,159],"symmetric":[18],"positive":[19],"definite":[20],"(SPD)":[21],"matrices.":[22],"These":[23],"two":[24,56],"problems":[25],"can":[26],"be":[27],"reduced":[28],"to":[29,39,50,61,85,134],"an":[30,110],"optimization":[31,48,72,92,132,156],"with":[33],"three":[34,80,131],"key":[35],"components:":[36],"criterion":[38],"minimize,":[40],"constraint":[42],"on":[43,94,121,144],"solution,":[45],"algorithm":[49],"solve":[51],"it.":[52],"This":[53],"paper":[54],"contains":[55],"contributions":[57],"that":[58],"allow":[59],"us":[60],"treat":[62],"these":[63],"issues":[64],"independently.":[65],"build":[67],"first":[69],"complete":[70],"Riemannian":[71,155],"framework":[73,157],"suited":[74],"for":[75],"BSS":[76],"AJD":[78,104,118,162],"handling":[79],"classical":[81],"constraints,":[82],"allowing":[84],"use":[86],"a":[87,99],"large":[88],"panel":[89],"general":[91],"algorithms":[93],"manifolds.":[95],"also":[97],"perform":[98],"thorough":[100],"study":[101,117],"SPD":[107,128],"matrices":[108],"from":[109],"information":[111],"geometry":[112],"point":[113],"view.":[115],"criteria":[119,163],"based":[120],"several":[122],"divergences":[123],"set":[126],"matrices,":[129],"provide":[130],"strategies":[133],"minimize":[135],"them,":[136],"analyze":[138],"their":[139],"properties.":[140],"Our":[141],"numerical":[142],"experiments":[143],"simulated":[145],"pseudoreal":[147],"electroencephalographic":[148],"data":[149],"show":[150],"interest":[152],"different":[161],"we":[164],"consider.":[165]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}