{"id":"https://openalex.org/W2521044431","doi":"https://doi.org/10.1109/sam.2016.7569738","title":"On JEVD of semi-definite positive matrices and CPD of nonnegative tensors","display_name":"On JEVD of semi-definite positive matrices and CPD of nonnegative tensors","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2521044431","doi":"https://doi.org/10.1109/sam.2016.7569738","mag":"2521044431"},"language":"en","primary_location":{"id":"doi:10.1109/sam.2016.7569738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sam.2016.7569738","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM)","raw_type":"proceedings-article"},"type":"preprint","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/A5101597664","display_name":"R\u00e9mi Andr\u00e9","orcid":"https://orcid.org/0000-0003-0476-1037"},"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/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Remi Andre","raw_affiliation_strings":["CNRS, Aix Marseille Universit\u00e9, Marseille, France","CNRS, Universit\u00e9 de Toulon, La Garde, France"],"affiliations":[{"raw_affiliation_string":"CNRS, Aix Marseille Universit\u00e9, Marseille, France","institution_ids":["https://openalex.org/I21491767","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, Universit\u00e9 de Toulon, La Garde, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I1294671590"]}]},{"author_position":"middle","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":["Inserm, U1099, Rennes, France","LTSI, Universit\u00e9 de Rennes 1, Rennes, France"],"affiliations":[{"raw_affiliation_string":"Inserm, U1099, Rennes, France","institution_ids":["https://openalex.org/I154526488"]},{"raw_affiliation_string":"LTSI, Universit\u00e9 de Rennes 1, Rennes, France","institution_ids":["https://openalex.org/I4210105651","https://openalex.org/I56067802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071599541","display_name":"Xavier Luciani","orcid":"https://orcid.org/0000-0002-2476-6559"},"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/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Luciani","raw_affiliation_strings":["CNRS, Aix Marseille Universit\u00e9, Marseille, France","CNRS, Universit\u00e9 de Toulon, La Garde, France"],"affiliations":[{"raw_affiliation_string":"CNRS, Aix Marseille Universit\u00e9, Marseille, France","institution_ids":["https://openalex.org/I21491767","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, Universit\u00e9 de Toulon, La Garde, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062576682","display_name":"\u00c9ric Moreau","orcid":"https://orcid.org/0000-0001-7804-4861"},"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/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Moreau","raw_affiliation_strings":["CNRS, Aix Marseille Universit\u00e9, Marseille, France","CNRS, Universit\u00e9 de Toulon, La Garde, France"],"affiliations":[{"raw_affiliation_string":"CNRS, Aix Marseille Universit\u00e9, Marseille, France","institution_ids":["https://openalex.org/I21491767","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, Universit\u00e9 de Toulon, La Garde, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101597664"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03724138,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9994999766349792,"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":0.9994999766349792,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.989799976348877,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9843999743461609,"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":0.7162358164787292},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5239912867546082},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.49186062812805176},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4867424964904785},{"id":"https://openalex.org/keywords/matrix-similarity","display_name":"Matrix similarity","score":0.4771532416343689},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4764935374259949},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.45825472474098206},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44148510694503784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.437439501285553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42387834191322327},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4201996922492981},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4081060588359833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4051646292209625},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34607994556427},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2560921907424927},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21452617645263672},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.14618995785713196},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1318013072013855}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7162358164787292},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5239912867546082},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.49186062812805176},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4867424964904785},{"id":"https://openalex.org/C39739852","wikidata":"https://www.wikidata.org/wiki/Q254491","display_name":"Matrix similarity","level":3,"score":0.4771532416343689},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4764935374259949},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.45825472474098206},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44148510694503784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.437439501285553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42387834191322327},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4201996922492981},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4081060588359833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4051646292209625},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34607994556427},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2560921907424927},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21452617645263672},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.14618995785713196},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1318013072013855},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/sam.2016.7569738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sam.2016.7569738","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01398352v1","is_oa":false,"landing_page_url":"https://hal-univ-rennes1.archives-ouvertes.fr/hal-01398352","pdf_url":null,"source":{"id":"https://openalex.org/S4406922393","display_name":"HAL AMU","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2016 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2016","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1560991867","https://openalex.org/W1682665945","https://openalex.org/W1921756296","https://openalex.org/W2003949175","https://openalex.org/W2005741518","https://openalex.org/W2013912476","https://openalex.org/W2024165284","https://openalex.org/W2025603201","https://openalex.org/W2032616368","https://openalex.org/W2043595292","https://openalex.org/W2072640712","https://openalex.org/W2078789945","https://openalex.org/W2132753939","https://openalex.org/W2164278908","https://openalex.org/W2167083368","https://openalex.org/W2172195418","https://openalex.org/W4292363360","https://openalex.org/W6679450156"],"related_works":["https://openalex.org/W2152992791","https://openalex.org/W2112835755","https://openalex.org/W2349674371","https://openalex.org/W4291951920","https://openalex.org/W2963262648","https://openalex.org/W2165749285","https://openalex.org/W2097495471","https://openalex.org/W2375480909","https://openalex.org/W1696545756","https://openalex.org/W2096497428"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"mainly":[4],"address":[5],"the":[6,18,21,31,53,56,65,68,78,90,100,136],"problem":[7],"of":[8,20,35,52,55,67,95,131,138,155],"Joint":[9],"EigenValue":[10],"Decomposition":[11,93],"(JEVD)":[12],"subject":[13],"to":[14,23,99,146],"nonnegative":[15,96],"constraints":[16],"on":[17,30,61],"eigenvalues":[19],"matrices":[22,63],"be":[24,147],"diagonalized.":[25],"An":[26],"efficient":[27],"method":[28,70,117],"based":[29],"Alternating":[32],"Direction":[33],"Method":[34],"Multipliers":[36],"(ADMM)":[37],"is":[38,82],"designed.":[39],"ADMM":[40,85],"provides":[41],"an":[42],"elegant":[43],"approach":[44],"for":[45,71,89],"handling":[46],"nonnegativity":[47],"constraints,":[48],"while":[49],"taking":[50],"advantage":[51],"structure":[54],"objective":[57],"function.":[58],"Numerical":[59],"tests":[60],"simulated":[62],"show":[64,104],"interest":[66],"proposed":[69],"low":[72],"Signal-to-Noise":[73],"Ratio":[74],"(SNR)":[75],"values":[76],"when":[77,152],"similarity":[79],"transformation":[80],"matrix":[81],"ill-conditioned.":[83],"The":[84],"was":[86],"recently":[87],"used":[88],"Canonical":[91],"Polyadic":[92],"(CPD)":[94],"tensors":[97,154],"leading":[98],"ADMoM":[101,134,151],"algorithm.":[102],"We":[103],"through":[105],"computer":[106],"results":[107],"that":[108],"DIAG":[109,140],"<sub":[110,122,141],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[111,123,142],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">+</sub>":[112,124,143],",":[113],"a":[114,128],"semi-algebraic":[115],"CPD":[116],"using":[118],"our":[119],"ADMM-based":[120],"JEVD":[121],"algorithm,":[125],"will":[126],"give":[127],"better":[129],"estimation":[130],"factors":[132],"than":[133,150],"in":[135],"presence":[137],"swamps.":[139],"also":[144],"appears":[145],"less":[148],"time-consuming":[149],"low-rank":[153],"high":[156],"dimensions":[157],"are":[158],"considered.":[159]},"counts_by_year":[],"updated_date":"2026-02-13T15:27:49.765798","created_date":"2025-10-10T00:00:00"}
