{"id":"https://openalex.org/W2542222851","doi":"https://doi.org/10.1109/acssc.2011.6190038","title":"Canonical decomposition of semi-symmetric semi-nonnegative three-way arrays","display_name":"Canonical decomposition of semi-symmetric semi-nonnegative three-way arrays","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2542222851","doi":"https://doi.org/10.1109/acssc.2011.6190038","mag":"2542222851"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2011.6190038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2011.6190038","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)","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/A5003223460","display_name":"Julie Coloigner","orcid":"https://orcid.org/0000-0001-7774-8015"},"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":true,"raw_author_name":"Julie Coloigner","raw_affiliation_strings":["LTSI Laboratory, University of Rennes I, Rennes, France","UMR 642, Inserm, Rennes, France"],"affiliations":[{"raw_affiliation_string":"LTSI Laboratory, University of Rennes I, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I4210105651"]},{"raw_affiliation_string":"UMR 642, Inserm, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I154526488"]}]},{"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":["LTSI Laboratory, University of Rennes I, Rennes, France","UMR 642, Inserm, Rennes, France"],"affiliations":[{"raw_affiliation_string":"LTSI Laboratory, University of Rennes I, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I4210105651"]},{"raw_affiliation_string":"UMR 642, Inserm, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I154526488"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045539855","display_name":"Amar Kachenoura","orcid":"https://orcid.org/0000-0003-4340-1261"},"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":"Amar Kachenoura","raw_affiliation_strings":["LTSI Laboratory, University of Rennes I, Rennes, France","UMR 642, Inserm, Rennes, France"],"affiliations":[{"raw_affiliation_string":"LTSI Laboratory, University of Rennes I, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I4210105651"]},{"raw_affiliation_string":"UMR 642, Inserm, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I154526488"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028457159","display_name":"Lotfi Senhadji","orcid":"https://orcid.org/0000-0001-9434-6341"},"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":"Lotfi Senhadji","raw_affiliation_strings":["LTSI Laboratory, University of Rennes I, Rennes, France","UMR 642, Inserm, Rennes, France"],"affiliations":[{"raw_affiliation_string":"LTSI Laboratory, University of Rennes I, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I4210105651"]},{"raw_affiliation_string":"UMR 642, Inserm, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I154526488"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003223460"],"corresponding_institution_ids":["https://openalex.org/I154526488","https://openalex.org/I4210105651","https://openalex.org/I56067802"],"apc_list":null,"apc_paid":null,"fwci":0.2985,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55263158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"16","issue":null,"first_page":"444","last_page":"448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9983999729156494,"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":0.9732999801635742,"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/focus","display_name":"Focus (optics)","score":0.5021870136260986},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4990544319152832},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4895089864730835},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.4751196503639221},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46797803044319153},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4358084201812744},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41351255774497986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3624526858329773},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36194974184036255},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3424530029296875},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24854984879493713},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1262810230255127},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09870198369026184}],"concepts":[{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5021870136260986},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4990544319152832},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4895089864730835},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.4751196503639221},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46797803044319153},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4358084201812744},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41351255774497986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3624526858329773},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36194974184036255},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3424530029296875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24854984879493713},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1262810230255127},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09870198369026184},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acssc.2011.6190038","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2011.6190038","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00908655v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00908655","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Signals, Systems and Computers (ASILOMAR), Nov 2011, Pacific Grove, CA, United States. pp.444 - 448, &#x27E8;10.1109/ACSSC.2011.6190038&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W10350632","https://openalex.org/W2025603201","https://openalex.org/W2043771946","https://openalex.org/W2044777402","https://openalex.org/W2047680880","https://openalex.org/W2059745395","https://openalex.org/W2062441527","https://openalex.org/W2068033664","https://openalex.org/W2095590702","https://openalex.org/W2106138821","https://openalex.org/W2121739212","https://openalex.org/W2158218920","https://openalex.org/W2404400936","https://openalex.org/W2730115607","https://openalex.org/W6740556508"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W5922282","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W62490179","https://openalex.org/W2954004777","https://openalex.org/W2951102138","https://openalex.org/W1568403290"],"abstract_inverted_index":{"In":[0,55],"this":[1],"paper,":[2],"we":[3,69],"focus":[4],"on":[5,144],"a":[6,30,47,65,71,92,102,121,133],"special":[7],"case":[8],"of":[9,16,51,64,91,95,139],"canonical":[10,14,62],"decomposition,":[11],"say":[12],"the":[13,59,124,129],"decomposition":[15,63],"three-way":[17,67],"arrays,":[18],"which":[19,83,118],"have":[20],"two":[21],"equal":[22],"and":[23,112,115,141],"nonnegative":[24,48],"loading":[25],"matrices.":[26],"This":[27],"problem":[28,87],"has":[29],"great":[31],"interest":[32],"in":[33,38,109,137],"blind":[34],"source":[35],"separation,":[36],"particularly":[37],"magnetic":[39],"resonance":[40],"spectroscopy,":[41],"where":[42],"each":[43],"observation":[44],"spectrum":[45],"is":[46,99,135],"linear":[49],"combination":[50],"different":[52],"constituent":[53],"spectra.":[54],"order":[56],"to":[57],"achieve":[58],"semi-symmetric":[60],"semi-nonnegative":[61],"given":[66],"array,":[68,126],"propose":[70],"novel":[72],"technique":[73],"named":[74],"ELS-ALS":[75,130],"<sub":[76],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[77,80],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">sym</sub>":[78],"<sup":[79],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">+</sup>":[81],",":[82],"optimizes":[84],"an":[85],"unconstrained":[86],"obtained":[88],"by":[89],"means":[90],"square":[93],"change":[94],"variable.":[96],"The":[97],"method":[98],"compared":[100],"with":[101],"Levenberg-Marquardt-like":[103],"approach":[104],"recently":[105],"submitted":[106],"for":[107],"publication":[108],"Linear":[110],"Algebra":[111],"its":[113],"applications":[114],"classical":[116],"methods,":[117],"uses":[119],"no":[120],"priori":[122],"about":[123],"considered":[125],"such":[127],"as":[128],"technique.":[131],"Such":[132],"comparison":[134],"made":[136],"terms":[138],"performance":[140],"numerical":[142],"complexity":[143],"random":[145],"synthetic":[146],"arrays.":[147]},"counts_by_year":[{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-23T09:07:50.710637","created_date":"2025-10-10T00:00:00"}
