{"id":"https://openalex.org/W2937827501","doi":"https://doi.org/10.1109/icassp.2019.8683508","title":"Boolean CP Decomposition of Binary Tensors: Uniqueness and Algorithm","display_name":"Boolean CP Decomposition of Binary Tensors: Uniqueness and Algorithm","publication_year":2019,"publication_date":"2019-04-17","ids":{"openalex":"https://openalex.org/W2937827501","doi":"https://doi.org/10.1109/icassp.2019.8683508","mag":"2937827501"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2019.8683508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2019.8683508","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-02314551","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001317537","display_name":"Mamadou Diop","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mamadou Diop","raw_affiliation_strings":["Universit?? de Lorraine, France","CRAN - Centre de Recherche en Automatique de Nancy (Universit\u00e9 de Lorraine, Campus Sciences, BP 70239, 54506 Vandoeuvre-les-Nancy Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit?? de Lorraine, France","institution_ids":["https://openalex.org/I90183372"]},{"raw_affiliation_string":"CRAN - Centre de Recherche en Automatique de Nancy (Universit\u00e9 de Lorraine, Campus Sciences, BP 70239, 54506 Vandoeuvre-les-Nancy Cedex - France)","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018640378","display_name":"S\u00e9bastian Miron","orcid":"https://orcid.org/0000-0003-4733-6698"},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sebastian Miron","raw_affiliation_strings":["Universit?? de Lorraine, France","CRAN - Centre de Recherche en Automatique de Nancy (Universit\u00e9 de Lorraine, Campus Sciences, BP 70239, 54506 Vandoeuvre-les-Nancy Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit?? de Lorraine, France","institution_ids":["https://openalex.org/I90183372"]},{"raw_affiliation_string":"CRAN - Centre de Recherche en Automatique de Nancy (Universit\u00e9 de Lorraine, Campus Sciences, BP 70239, 54506 Vandoeuvre-les-Nancy Cedex - France)","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108432886","display_name":"Antoine Souloumiac","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I2801360556","display_name":"CEA Paris-Saclay - Etablissement de Saclay","ror":"https://ror.org/01fv25t22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I2801360556","https://openalex.org/I4210128565"]},{"id":"https://openalex.org/I4210085861","display_name":"Laboratoire d'Int\u00e9gration des Syst\u00e8mes et des Technologies","ror":"https://ror.org/000dbcc61","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210085861","https://openalex.org/I4210117989"]},{"id":"https://openalex.org/I4210128565","display_name":"CEA Paris-Saclay","ror":"https://ror.org/03n15ch10","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210128565"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antoine Souloumiac","raw_affiliation_strings":["CEA Saclay, France","LS2D (CEA, LIST) - Laboratoire Sciences des Donn\u00e9es et de la D\u00e9cision (CEA, LIST) (anciennement Laboratoire Analyse des Donn\u00e9es et Intelligence des Syst\u00e8mes (LADIS), Laboratoire Outils d'Analyse des Donn\u00e9es (LOAD), Laboratoire des Processus Stochastiques et Stationnaires (LPSS) - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEA Saclay, France","institution_ids":["https://openalex.org/I2801360556","https://openalex.org/I4210128565","https://openalex.org/I2738703131"]},{"raw_affiliation_string":"LS2D (CEA, LIST) - Laboratoire Sciences des Donn\u00e9es et de la D\u00e9cision (CEA, LIST) (anciennement Laboratoire Analyse des Donn\u00e9es et Intelligence des Syst\u00e8mes (LADIS), Laboratoire Outils d'Analyse des Donn\u00e9es (LOAD), Laboratoire des Processus Stochastiques et Stationnaires (LPSS) - France)","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210144844","https://openalex.org/I4210085861"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039172462","display_name":"David Brie","orcid":"https://orcid.org/0000-0002-2373-3480"},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Brie","raw_affiliation_strings":["Universit?? de Lorraine, France","CRAN - Centre de Recherche en Automatique de Nancy (Universit\u00e9 de Lorraine, Campus Sciences, BP 70239, 54506 Vandoeuvre-les-Nancy Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit?? de Lorraine, France","institution_ids":["https://openalex.org/I90183372"]},{"raw_affiliation_string":"CRAN - Centre de Recherche en Automatique de Nancy (Universit\u00e9 de Lorraine, Campus Sciences, BP 70239, 54506 Vandoeuvre-les-Nancy Cedex - France)","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04534314,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2019","issue":null,"first_page":"8212","last_page":"8216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":1.0,"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":1.0,"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":0.9685999751091003,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9621999859809875,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.795428991317749},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.7274022698402405},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6312851309776306},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6114692091941833},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5464484095573425},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5123249292373657},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5064736604690552},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.48897016048431396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4757421016693115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40165045857429504},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35768431425094604},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19287273287773132},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15944361686706543},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07850587368011475}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.795428991317749},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.7274022698402405},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6312851309776306},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6114692091941833},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5464484095573425},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5123249292373657},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5064736604690552},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.48897016048431396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4757421016693115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40165045857429504},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35768431425094604},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19287273287773132},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15944361686706543},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07850587368011475},{"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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icassp.2019.8683508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2019.8683508","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02314551v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02314551","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":"44th IEEE International Conference on Acoustics Speech and Signal Processing, ICASSP 2019, May 2019, Brighton, United Kingdom. &#x27E8;10.1109/ICASSP.2019.8683508&#x27E9;","raw_type":"Conference papers"},{"id":"mag:3177488858","is_oa":false,"landing_page_url":"https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=201902243708326143","pdf_url":null,"source":{"id":"https://openalex.org/S4306512817","display_name":"IEEE Conference Proceedings","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IEEE Conference Proceedings","raw_type":null}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02314551v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02314551","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":"44th IEEE International Conference on Acoustics Speech and Signal Processing, ICASSP 2019, May 2019, Brighton, United Kingdom. &#x27E8;10.1109/ICASSP.2019.8683508&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1850275953","https://openalex.org/W1986380628","https://openalex.org/W1998421974","https://openalex.org/W2024165284","https://openalex.org/W2083859987","https://openalex.org/W2160342152","https://openalex.org/W2765432856"],"related_works":["https://openalex.org/W2950186459","https://openalex.org/W2170114491","https://openalex.org/W2897298721","https://openalex.org/W2242624680","https://openalex.org/W2136127937","https://openalex.org/W4290987221","https://openalex.org/W2216309014","https://openalex.org/W2569661359","https://openalex.org/W3199841771","https://openalex.org/W4286971555"],"abstract_inverted_index":{"We":[0,38,58],"propose":[1],"an":[2,61],"algorithm":[3],"to":[4,54],"perform":[5],"the":[6,23,66,70],"low-rank":[7,48],"Boolean":[8,80],"Canonical":[9],"Polyadic":[10],"Decomposition":[11],"(BCPD)":[12],"of":[13,50],"a":[14,31,75],"binary":[15,36,51],"tensor.":[16],"The":[17],"proposed":[18],"approach":[19],"is":[20,44,69,77],"based":[21],"on":[22],"AO-ADMM":[24],"strategy":[25],"introduced":[26],"in":[27],"[1]":[28],"and":[29],"uses":[30],"post-nonlinear":[32],"mixture":[33],"model":[34],"for":[35,47,65,79],"sources.":[37],"show":[39],"that":[40,73],"this":[41],"new":[42],"method":[43],"better":[45],"suited":[46],"approximation":[49],"tensors":[52],"compared":[53],"other":[55],"similar":[56],"methods.":[57],"also":[59],"provide":[60],"easy-to-check":[62],"uniqueness":[63],"condition":[64,76],"BCPD.":[67],"This":[68],"first":[71],"time":[72],"such":[74],"derived":[78],"decompositions.":[81]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
