{"id":"https://openalex.org/W2113465706","doi":"https://doi.org/10.1109/icassp.2011.5947255","title":"Semi-algebraic canonical decomposition of multi-way arrays and Joint Eigenvalue Decomposition","display_name":"Semi-algebraic canonical decomposition of multi-way arrays and Joint Eigenvalue Decomposition","publication_year":2011,"publication_date":"2011-05-01","ids":{"openalex":"https://openalex.org/W2113465706","doi":"https://doi.org/10.1109/icassp.2011.5947255","mag":"2113465706"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2011.5947255","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2011.5947255","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00595092","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071599541","display_name":"Xavier Luciani","orcid":"https://orcid.org/0000-0002-2476-6559"},"institutions":[{"id":"https://openalex.org/I154526488","display_name":"Inserm","ror":"https://ror.org/02vjkv261","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488"]},{"id":"https://openalex.org/I4210105651","display_name":"Laboratoire Traitement du Signal et de l'Image","ror":"https://ror.org/01f1amm71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I154526488","https://openalex.org/I4210105651","https://openalex.org/I4210105774","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Luciani","raw_affiliation_strings":["LTSI, Universit\u00e9 de Rennes 1, Rennes, France","UMR 642, Inserm, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LTSI, Universit\u00e9 de Rennes 1, Rennes, France","institution_ids":["https://openalex.org/I4210105651","https://openalex.org/I56067802"]},{"raw_affiliation_string":"UMR 642, Inserm, France","institution_ids":["https://openalex.org/I154526488"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015307055","display_name":"Laurent Albera","orcid":"https://orcid.org/0000-0002-2109-5649"},"institutions":[{"id":"https://openalex.org/I154526488","display_name":"Inserm","ror":"https://ror.org/02vjkv261","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488"]},{"id":"https://openalex.org/I4210105651","display_name":"Laboratoire Traitement du Signal et de l'Image","ror":"https://ror.org/01f1amm71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I154526488","https://openalex.org/I4210105651","https://openalex.org/I4210105774","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Albera","raw_affiliation_strings":["LTSI, Universit\u00e9 de Rennes 1, Rennes, France","UMR 642, Inserm, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LTSI, Universit\u00e9 de Rennes 1, Rennes, France","institution_ids":["https://openalex.org/I4210105651","https://openalex.org/I56067802"]},{"raw_affiliation_string":"UMR 642, Inserm, France","institution_ids":["https://openalex.org/I154526488"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0171,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.94252874,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"16","issue":null,"first_page":"4104","last_page":"4107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9496999979019165,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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":0.9258999824523926,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6668919920921326},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5854009389877319},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5703859925270081},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.567132830619812},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.561883270740509},{"id":"https://openalex.org/keywords/eigendecomposition-of-a-matrix","display_name":"Eigendecomposition of a matrix","score":0.5541365742683411},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5269746780395508},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4741893708705902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46409717202186584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4484347701072693},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4437626004219055},{"id":"https://openalex.org/keywords/lu-decomposition","display_name":"LU decomposition","score":0.4209159314632416},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3768139183521271},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3466818928718567},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1507473886013031},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.057707756757736206}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6668919920921326},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5854009389877319},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5703859925270081},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.567132830619812},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.561883270740509},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.5541365742683411},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5269746780395508},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4741893708705902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46409717202186584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4484347701072693},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4437626004219055},{"id":"https://openalex.org/C123213974","wikidata":"https://www.wikidata.org/wiki/Q833089","display_name":"LU decomposition","level":4,"score":0.4209159314632416},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3768139183521271},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3466818928718567},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1507473886013031},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.057707756757736206},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2011.5947255","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2011.5947255","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00595092v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00595092","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":"The 36th International Conference on Acoustics, Speech and Signal Processing (ICASSP 2011), May 2011, Prague, Czech Republic. pp.4104-4107, ⟨10.1109/ICASSP.2011.5947255⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00595092v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00595092","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":"The 36th International Conference on Acoustics, Speech and Signal Processing (ICASSP 2011), May 2011, Prague, Czech Republic. pp.4104-4107, ⟨10.1109/ICASSP.2011.5947255⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1579124594","https://openalex.org/W2000215628","https://openalex.org/W2013912476","https://openalex.org/W2024166170","https://openalex.org/W2025603201","https://openalex.org/W2032616368","https://openalex.org/W2044777402","https://openalex.org/W2057503509","https://openalex.org/W2078789945","https://openalex.org/W2081724471","https://openalex.org/W2098531285","https://openalex.org/W2106138821","https://openalex.org/W2119741678","https://openalex.org/W2121739212","https://openalex.org/W2127365472","https://openalex.org/W2132753939","https://openalex.org/W2136210023","https://openalex.org/W2159393880","https://openalex.org/W2258054274","https://openalex.org/W6634606285","https://openalex.org/W6678955343","https://openalex.org/W6679450156"],"related_works":["https://openalex.org/W2766762530","https://openalex.org/W119752240","https://openalex.org/W2602301532","https://openalex.org/W2289858865","https://openalex.org/W1988437637","https://openalex.org/W1977700955","https://openalex.org/W2150953077","https://openalex.org/W4388311419","https://openalex.org/W2271643833","https://openalex.org/W1973739845"],"abstract_inverted_index":{"A":[0],"semi-algebraic":[1],"algorithm":[2],"based":[3,54],"on":[4,55],"Joint":[5],"Eigenvalue":[6],"De":[7],"composition":[8,17],"(JEVD)":[9],"is":[10,27],"proposed":[11,67],"to":[12,30,69],"compute":[13],"the":[14,25,31,56,62,66,72],"CP":[15,75],"de":[16],"of":[18,24,65],"multi-way":[19],"arrays.":[20],"The":[21],"iterative":[22],"part":[23],"method":[26],"thus":[28],"limited":[29],"JEVD":[32,52,73],"computation.":[33],"In":[34],"addition":[35],"it":[36],"involves":[37],"less":[38],"restrictive":[39],"hypothesis":[40],"than":[41],"other":[42],"recent":[43],"semi":[44],"algebraic":[45],"approaches.":[46],"We":[47],"also":[48],"propose":[49],"an":[50],"original":[51],"technique":[53],"LU":[57],"factorization.":[58],"Numerical":[59],"examples":[60],"highlight":[61],"main":[63],"advantages":[64],"methods":[68],"solve":[70],"both":[71],"and":[74],"problems.":[76]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}