{"id":"https://openalex.org/W3042637182","doi":"https://doi.org/10.23919/eusipco47968.2020.9287560","title":"Positive Semidefinite Matrix Factorization Based on Truncated Wirtinger Flow","display_name":"Positive Semidefinite Matrix Factorization Based on Truncated Wirtinger Flow","publication_year":2020,"publication_date":"2020-12-18","ids":{"openalex":"https://openalex.org/W3042637182","doi":"https://doi.org/10.23919/eusipco47968.2020.9287560","mag":"3042637182"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco47968.2020.9287560","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco47968.2020.9287560","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 28th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5057160666","display_name":"Dana Lahat","orcid":"https://orcid.org/0000-0001-6179-0219"},"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/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dana Lahat","raw_affiliation_strings":["IRIT, Universit\u00e9 de Toulouse, CNRS, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT, Universit\u00e9 de Toulouse, CNRS, Toulouse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022368934","display_name":"C\u00e9dric F\u00e9votte","orcid":"https://orcid.org/0000-0003-3801-5534"},"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/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cedric Fevotte","raw_affiliation_strings":["IRIT, Universit\u00e9 de Toulouse, CNRS, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT, Universit\u00e9 de Toulouse, CNRS, Toulouse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.834,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81151677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1035","last_page":"1039"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9947999715805054,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9704999923706055,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.6952800750732422},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5658761262893677},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.54869544506073},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5337637066841125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5072631239891052},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.4966016411781311},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.49042436480522156},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4657386541366577},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45486611127853394},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4387633502483368},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4342016875743866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3965201675891876},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37385284900665283},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19293317198753357},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14117324352264404}],"concepts":[{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.6952800750732422},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5658761262893677},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.54869544506073},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5337637066841125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5072631239891052},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.4966016411781311},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.49042436480522156},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4657386541366577},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45486611127853394},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4387633502483368},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4342016875743866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3965201675891876},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37385284900665283},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19293317198753357},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14117324352264404},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/eusipco47968.2020.9287560","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco47968.2020.9287560","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 28th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1189174436","https://openalex.org/W1484412996","https://openalex.org/W1884015253","https://openalex.org/W1945057103","https://openalex.org/W2039156581","https://openalex.org/W2059745395","https://openalex.org/W2061987651","https://openalex.org/W2114508388","https://openalex.org/W2119368733","https://openalex.org/W2138677859","https://openalex.org/W2142949395","https://openalex.org/W2274439720","https://openalex.org/W2296418040","https://openalex.org/W2542482481","https://openalex.org/W2738180706","https://openalex.org/W2901664571","https://openalex.org/W2963099043","https://openalex.org/W2963240866","https://openalex.org/W2963449128","https://openalex.org/W2971159456","https://openalex.org/W3016208248","https://openalex.org/W3022030295","https://openalex.org/W3099415239","https://openalex.org/W3102206315","https://openalex.org/W3123950972","https://openalex.org/W3200277622","https://openalex.org/W4299602245","https://openalex.org/W6608805005","https://openalex.org/W6627707193","https://openalex.org/W6628955290","https://openalex.org/W6636866650","https://openalex.org/W6639384702","https://openalex.org/W6694291848","https://openalex.org/W6697652323","https://openalex.org/W6767407871","https://openalex.org/W6767705684"],"related_works":["https://openalex.org/W1502458949","https://openalex.org/W2323830966","https://openalex.org/W188032563","https://openalex.org/W2362838148","https://openalex.org/W2359279826","https://openalex.org/W2085581092","https://openalex.org/W1515038401","https://openalex.org/W4294621063","https://openalex.org/W1973739845","https://openalex.org/W119752240"],"abstract_inverted_index":{"This":[0,60],"paper":[1],"deals":[2],"with":[3,20,56,92,148],"algorithms":[4],"for":[5,44,159],"positive":[6],"semidefinite":[7],"matrix":[8,18,183],"factorization":[9,19,186],"(PSDMF).":[10],"PSDMF":[11,45,108,147],"is":[12,62,86],"a":[13,47,69,87,156,166,173],"recently-proposed":[14],"extension":[15],"of":[16,37,102,119,163,176,182],"nonnegative":[17],"applications":[21],"in":[22,46,77,143],"combinatorial":[23],"optimization,":[24],"among":[25],"others.":[26],"In":[27,165],"this":[28],"paper,":[29],"we":[30],"focus":[31],"on":[32,64],"improving":[33],"the":[34,52,57,78,99,110,136,144,149,160],"local":[35],"convergence":[36,181],"an":[38,141],"alternating":[39],"block":[40],"gradient":[41,79],"(ABC)":[42],"method":[43,73],"noise-free":[48],"setting":[49],"by":[50],"replacing":[51],"quadratic":[53],"objective":[54,151,177],"function":[55,152,178],"Poisson":[58],"log-likelihood.":[59],"idea":[61],"based":[63],"truncated":[65],"Wirtinger":[66],"flow":[67],"(TWF),":[68],"phase":[70],"retrieval":[71],"(PR)":[72],"that":[74,98,134,172],"trims":[75],"outliers":[76,137],"and":[80,132],"thus":[81],"regularizes":[82],"it.":[83],"Our":[84,94],"motivation":[85],"recent":[88],"result":[89],"linking":[90],"PR":[91,126],"PSDMF.":[93],"numerical":[95,100],"experiments":[96],"validate":[97],"benefits":[101],"TWF":[103,124],"may":[104,153,179],"carry":[105],"over":[106],"to":[107,127],"despite":[109],"more":[111],"challenging":[112],"setting,":[113,146],"when":[114],"initialized":[115],"within":[116],"its":[117],"region":[118],"convergence.":[120],"We":[121],"then":[122],"extend":[123],"from":[125],"affine":[128],"rank":[129],"minimization":[130],"(ARM),":[131],"show":[133],"although":[135],"are":[138],"no":[139],"longer":[140],"issue":[142],"ARM":[145],"new":[150],"still":[154],"achieves":[155],"smaller":[157],"error":[158],"same":[161],"number":[162],"iterations.":[164],"broader":[167],"view,":[168],"our":[169],"results":[170],"indicate":[171],"proper":[174],"choice":[175],"enhance":[180],"(or":[184],"tensor)":[185],"methods.":[187]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}