{"id":"https://openalex.org/W2241259345","doi":"https://doi.org/10.1109/camsap.2015.7383770","title":"An Alternating Direction Method of Multipliers for constrained joint diagonalization by congruence","display_name":"An Alternating Direction Method of Multipliers for constrained joint diagonalization by congruence","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2241259345","doi":"https://doi.org/10.1109/camsap.2015.7383770","mag":"2241259345"},"language":"en","primary_location":{"id":"doi:10.1109/camsap.2015.7383770","is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap.2015.7383770","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","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/A5100364363","display_name":"Lu Wang","orcid":"https://orcid.org/0000-0001-5099-0522"},"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/I4210106409","display_name":"China Institute of Finance and Capital Markets","ror":"https://ror.org/01mp98161","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210106409"]},{"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":["CN","FR"],"is_corresponding":true,"raw_author_name":"Lu Wang","raw_affiliation_strings":["Information Technology Head Office, Guotai-Junan Securities Co., Ltd, Shanghai, China","Inserm, Rennes, France","Universite de Rennes 1, LTSI, Rennes, France","Information Technology Head Office, Guotai Junan Securities Co., Ltd","Laboratoire Traitement du Signal et de l'Image","Centre de Recherche en Information Biom\u00e9dicale sino-fran\u00e7ais"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Technology Head Office, Guotai-Junan Securities Co., Ltd, Shanghai, China","institution_ids":["https://openalex.org/I4210106409"]},{"raw_affiliation_string":"Inserm, Rennes, France","institution_ids":["https://openalex.org/I154526488"]},{"raw_affiliation_string":"Universite de Rennes 1, LTSI, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I4210105651"]},{"raw_affiliation_string":"Information Technology Head Office, Guotai Junan Securities Co., Ltd","institution_ids":["https://openalex.org/I4210106409"]},{"raw_affiliation_string":"Laboratoire Traitement du Signal et de l'Image","institution_ids":["https://openalex.org/I4210105651"]},{"raw_affiliation_string":"Centre de Recherche en Information Biom\u00e9dicale sino-fran\u00e7ais","institution_ids":[]}]},{"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/I4210133778","display_name":"Centre Inria de l'Universit\u00e9 de Rennes","ror":"https://ror.org/04040yw90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210133778"]},{"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":["Inria Centre Inria Rennes - Bretagne Atlantique, Rennes, France","Inserm, Rennes, France","Universite de Rennes 1, LTSI, Rennes, France","Laboratoire Traitement du Signal et de l'Image","Centre de Recherche en Information Biom\u00e9dicale sino-fran\u00e7ais","Parcimonie et Nouveaux Algorithmes pour le Signal et la Mod\u00e9lisation Audio"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria Centre Inria Rennes - Bretagne Atlantique, Rennes, France","institution_ids":["https://openalex.org/I4210133778"]},{"raw_affiliation_string":"Inserm, Rennes, France","institution_ids":["https://openalex.org/I154526488"]},{"raw_affiliation_string":"Universite de Rennes 1, LTSI, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I4210105651"]},{"raw_affiliation_string":"Laboratoire Traitement du Signal et de l'Image","institution_ids":["https://openalex.org/I4210105651"]},{"raw_affiliation_string":"Centre de Recherche en Information Biom\u00e9dicale sino-fran\u00e7ais","institution_ids":[]},{"raw_affiliation_string":"Parcimonie et Nouveaux Algorithmes pour le Signal et la Mod\u00e9lisation Audio","institution_ids":[]}]},{"author_position":"middle","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":["Inserm, Rennes, France","Universite de Rennes 1, LTSI, Rennes, France","Laboratoire Traitement du Signal et de l'Image","Centre de Recherche en Information Biom\u00e9dicale sino-fran\u00e7ais"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inserm, Rennes, France","institution_ids":["https://openalex.org/I154526488"]},{"raw_affiliation_string":"Universite de Rennes 1, LTSI, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I4210105651"]},{"raw_affiliation_string":"Laboratoire Traitement du Signal et de l'Image","institution_ids":["https://openalex.org/I4210105651"]},{"raw_affiliation_string":"Centre de Recherche en Information Biom\u00e9dicale sino-fran\u00e7ais","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062845079","display_name":"Jean\u2010Christophe Pesquet","orcid":"https://orcid.org/0000-0002-5943-8061"},"institutions":[{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Christophe Pesquet","raw_affiliation_strings":["Universite Paris-Est, Laboratoire d'Informatique Gaspard Monge, Marne-Ia-Vallee, France","Laboratoire d'Informatique Gaspard-Monge"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universite Paris-Est, Laboratoire d'Informatique Gaspard Monge, Marne-Ia-Vallee, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge","institution_ids":["https://openalex.org/I4210152518"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100364363"],"corresponding_institution_ids":["https://openalex.org/I154526488","https://openalex.org/I4210105651","https://openalex.org/I4210106409","https://openalex.org/I56067802"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06928839,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"197","last_page":"200"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9977999925613403,"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":0.9970999956130981,"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/congruence","display_name":"Congruence (geometry)","score":0.8518275618553162},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5291674137115479},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.513981282711029},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5136972665786743},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4951097071170807},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4780631363391876},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.45862525701522827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45772087574005127},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.43427127599716187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43118536472320557},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42396849393844604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41843628883361816},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11266455054283142},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0910041332244873}],"concepts":[{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.8518275618553162},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5291674137115479},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.513981282711029},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5136972665786743},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4951097071170807},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4780631363391876},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.45862525701522827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45772087574005127},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.43427127599716187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43118536472320557},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42396849393844604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41843628883361816},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11266455054283142},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0910041332244873},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/camsap.2015.7383770","is_oa":false,"landing_page_url":"https://doi.org/10.1109/camsap.2015.7383770","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01245119v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01245119","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"2015 IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, Dec 2015, Cancun, Mexico. pp.197-200, &#x27E8;10.1109/CAMSAP.2015.7383770&#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":31,"referenced_works":["https://openalex.org/W1493782845","https://openalex.org/W1682665945","https://openalex.org/W1946620893","https://openalex.org/W1964204554","https://openalex.org/W1985786380","https://openalex.org/W1992841740","https://openalex.org/W2003289953","https://openalex.org/W2058532290","https://openalex.org/W2069277547","https://openalex.org/W2076566842","https://openalex.org/W2093631112","https://openalex.org/W2113171505","https://openalex.org/W2124872317","https://openalex.org/W2125852763","https://openalex.org/W2142280715","https://openalex.org/W2148791483","https://openalex.org/W2158218920","https://openalex.org/W2164278908","https://openalex.org/W2622705236","https://openalex.org/W2951870246","https://openalex.org/W3012080241","https://openalex.org/W3121742466","https://openalex.org/W4206852880","https://openalex.org/W4247480362","https://openalex.org/W4285719527","https://openalex.org/W4292363360","https://openalex.org/W4300989551","https://openalex.org/W6648417372","https://openalex.org/W6676690680","https://openalex.org/W6739039899","https://openalex.org/W6775638715"],"related_works":["https://openalex.org/W2388471861","https://openalex.org/W2354789018","https://openalex.org/W2391316944","https://openalex.org/W2065462305","https://openalex.org/W4380684998","https://openalex.org/W4226251895","https://openalex.org/W3153752017","https://openalex.org/W4387635768","https://openalex.org/W2187449906","https://openalex.org/W2962818859"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"address":[4],"the":[5,13,30,42,59,67,70,79,82,93],"problem":[6],"of":[7,17,32,46,66,69,81,95],"joint":[8],"diagonalization":[9],"by":[10],"congruence":[11],"(i.e.":[12],"canonical":[14],"polyadic":[15],"decomposition":[16],"semi-symmetric":[18],"3rd":[19],"order":[20],"tensors)":[21],"subject":[22],"to":[23,88],"arbitrary":[24],"convex":[25],"constraints.":[26],"Sufficient":[27],"conditions":[28],"for":[29,57,85],"existence":[31],"a":[33],"solution":[34],"are":[35,100],"given.":[36],"An":[37],"efficient":[38],"algorithm":[39],"based":[40],"on":[41,75],"Alternating":[43],"Direction":[44],"Method":[45],"Multipliers":[47],"(ADMM)":[48],"is":[49],"then":[50],"designed.":[51],"ADMM":[52],"provides":[53],"an":[54],"elegant":[55],"approach":[56],"handling":[58],"additional":[60],"constraint":[61],"terms,":[62],"while":[63],"taking":[64],"advantage":[65],"structure":[68],"objective":[71],"function.":[72],"Numerical":[73],"tests":[74],"simulated":[76],"matrices":[77],"show":[78],"benefits":[80],"proposed":[83],"method":[84],"low":[86],"signal":[87],"noise":[89],"ratios.":[90],"Simulations":[91],"in":[92],"context":[94],"nuclear":[96],"magnetic":[97],"resonance":[98],"spectroscopy":[99],"also":[101],"provided.":[102]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
