{"id":"https://openalex.org/W4306898452","doi":"https://doi.org/10.1137/22m1528896","title":"Provable Phase Retrieval with Mirror Descent","display_name":"Provable Phase Retrieval with Mirror Descent","publication_year":2023,"publication_date":"2023-07-14","ids":{"openalex":"https://openalex.org/W4306898452","doi":"https://doi.org/10.1137/22m1528896"},"language":"en","primary_location":{"id":"doi:10.1137/22m1528896","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1528896","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-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/A5025177894","display_name":"Jean-Jacques Godeme","orcid":"https://orcid.org/0009-0005-1040-1005"},"institutions":[{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]},{"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/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Jacques Godeme","raw_affiliation_strings":["Normandie Universit\u00e9, ENSICAEN, CNRS, GREYC, France","Equipe Image - Laboratoire GREYC - UMR6072","Normandie Universit\u00e9","\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","Groupe de Recherche en Informatique, Image et Instrumentation de Caen"],"affiliations":[{"raw_affiliation_string":"Normandie Universit\u00e9, ENSICAEN, CNRS, GREYC, France","institution_ids":["https://openalex.org/I194210350","https://openalex.org/I4210139483","https://openalex.org/I1294671590","https://openalex.org/I4210105918"]},{"raw_affiliation_string":"Equipe Image - Laboratoire GREYC - UMR6072","institution_ids":["https://openalex.org/I4210139483"]},{"raw_affiliation_string":"Normandie Universit\u00e9","institution_ids":["https://openalex.org/I4210105918"]},{"raw_affiliation_string":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","institution_ids":["https://openalex.org/I194210350"]},{"raw_affiliation_string":"Groupe de Recherche en Informatique, Image et Instrumentation de Caen","institution_ids":["https://openalex.org/I4210139483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008136365","display_name":"Jalal Fadili","orcid":"https://orcid.org/0000-0002-8165-7578"},"institutions":[{"id":"https://openalex.org/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"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/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jalal Fadili","raw_affiliation_strings":["Normandie Universit\u00e9, ENSICAEN, CNRS, GREYC, France","Equipe Image - Laboratoire GREYC - UMR6072","\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","Groupe de Recherche en Informatique, Image et Instrumentation de Caen","Normandie Universit\u00e9"],"affiliations":[{"raw_affiliation_string":"Normandie Universit\u00e9, ENSICAEN, CNRS, GREYC, France","institution_ids":["https://openalex.org/I194210350","https://openalex.org/I4210139483","https://openalex.org/I1294671590","https://openalex.org/I4210105918"]},{"raw_affiliation_string":"Equipe Image - Laboratoire GREYC - UMR6072","institution_ids":["https://openalex.org/I4210139483"]},{"raw_affiliation_string":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","institution_ids":["https://openalex.org/I194210350"]},{"raw_affiliation_string":"Groupe de Recherche en Informatique, Image et Instrumentation de Caen","institution_ids":["https://openalex.org/I4210139483"]},{"raw_affiliation_string":"Normandie Universit\u00e9","institution_ids":["https://openalex.org/I4210105918"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017600612","display_name":"Xavier Buet","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]},{"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/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210125985","display_name":"Institut Fresnel","ror":"https://ror.org/03br1wy20","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210095849","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Buet","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France","Institut FRESNEL","Aix Marseille Universit\u00e9","\u00c9cole Centrale de Marseille"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France","institution_ids":["https://openalex.org/I4210142724","https://openalex.org/I4210125985","https://openalex.org/I21491767","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut FRESNEL","institution_ids":["https://openalex.org/I4210125985"]},{"raw_affiliation_string":"Aix Marseille Universit\u00e9","institution_ids":["https://openalex.org/I21491767"]},{"raw_affiliation_string":"\u00c9cole Centrale de Marseille","institution_ids":["https://openalex.org/I4210142724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054580263","display_name":"Myriam Zerrad","orcid":"https://orcid.org/0000-0001-8365-3848"},"institutions":[{"id":"https://openalex.org/I4210125985","display_name":"Institut Fresnel","ror":"https://ror.org/03br1wy20","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210095849","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]},{"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"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Myriam Zerrad","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France","Aix Marseille Universit\u00e9","\u00c9cole Centrale de Marseille","Institut FRESNEL"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France","institution_ids":["https://openalex.org/I4210142724","https://openalex.org/I4210125985","https://openalex.org/I21491767","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Aix Marseille Universit\u00e9","institution_ids":["https://openalex.org/I21491767"]},{"raw_affiliation_string":"\u00c9cole Centrale de Marseille","institution_ids":["https://openalex.org/I4210142724"]},{"raw_affiliation_string":"Institut FRESNEL","institution_ids":["https://openalex.org/I4210125985"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001182574","display_name":"Michel Lequime","orcid":"https://orcid.org/0000-0002-2527-5663"},"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/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]},{"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"]},{"id":"https://openalex.org/I4210125985","display_name":"Institut Fresnel","ror":"https://ror.org/03br1wy20","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210095849","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Lequime","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France","Aix Marseille Universit\u00e9","Institut FRESNEL","\u00c9cole Centrale de Marseille"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France","institution_ids":["https://openalex.org/I4210142724","https://openalex.org/I4210125985","https://openalex.org/I21491767","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Aix Marseille Universit\u00e9","institution_ids":["https://openalex.org/I21491767"]},{"raw_affiliation_string":"Institut FRESNEL","institution_ids":["https://openalex.org/I4210125985"]},{"raw_affiliation_string":"\u00c9cole Centrale de Marseille","institution_ids":["https://openalex.org/I4210142724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014911084","display_name":"Claude Amra","orcid":"https://orcid.org/0000-0002-4618-5931"},"institutions":[{"id":"https://openalex.org/I4210125985","display_name":"Institut Fresnel","ror":"https://ror.org/03br1wy20","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210095849","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]},{"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/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":"Claude Amra","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France","Institut FRESNEL","\u00c9cole Centrale de Marseille","Aix Marseille Universit\u00e9"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France","institution_ids":["https://openalex.org/I4210142724","https://openalex.org/I4210125985","https://openalex.org/I21491767","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut FRESNEL","institution_ids":["https://openalex.org/I4210125985"]},{"raw_affiliation_string":"\u00c9cole Centrale de Marseille","institution_ids":["https://openalex.org/I4210142724"]},{"raw_affiliation_string":"Aix Marseille Universit\u00e9","institution_ids":["https://openalex.org/I21491767"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5025177894"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210139483"],"apc_list":null,"apc_paid":null,"fwci":0.711,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65684045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"16","issue":"3","first_page":"1106","last_page":"1141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"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/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.7350406646728516},{"id":"https://openalex.org/keywords/phase-retrieval","display_name":"Phase retrieval","score":0.7242919206619263},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.7212648987770081},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.651336669921875},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5725134015083313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5252889394760132},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.518622100353241},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4737321138381958},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47198039293289185},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.4629685878753662},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.45738548040390015},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.4210960865020752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3369765877723694},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3231147527694702},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23204630613327026},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17471396923065186},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1384846568107605},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08911207318305969}],"concepts":[{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.7350406646728516},{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.7242919206619263},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.7212648987770081},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.651336669921875},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5725134015083313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5252889394760132},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.518622100353241},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4737321138381958},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47198039293289185},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.4629685878753662},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.45738548040390015},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.4210960865020752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3369765877723694},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3231147527694702},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23204630613327026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17471396923065186},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1384846568107605},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08911207318305969},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","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/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1528896","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1528896","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G501721486","display_name":null,"funder_award_id":"ANR-19-CE42-0009","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1145378817","https://openalex.org/W1488291192","https://openalex.org/W1568307856","https://openalex.org/W1690193285","https://openalex.org/W1847564501","https://openalex.org/W1967138577","https://openalex.org/W1985123706","https://openalex.org/W2002711323","https://openalex.org/W2007593159","https://openalex.org/W2009274429","https://openalex.org/W2011973549","https://openalex.org/W2015911499","https://openalex.org/W2027711030","https://openalex.org/W2028768976","https://openalex.org/W2041901627","https://openalex.org/W2077647472","https://openalex.org/W2078397124","https://openalex.org/W2079361630","https://openalex.org/W2090376964","https://openalex.org/W2103315115","https://openalex.org/W2105685950","https://openalex.org/W2108078415","https://openalex.org/W2108451890","https://openalex.org/W2112371650","https://openalex.org/W2113972737","https://openalex.org/W2128475913","https://openalex.org/W2132509202","https://openalex.org/W2136328862","https://openalex.org/W2142949395","https://openalex.org/W2145080587","https://openalex.org/W2158902838","https://openalex.org/W2166406271","https://openalex.org/W2167850383","https://openalex.org/W2169501582","https://openalex.org/W2171505904","https://openalex.org/W2283023501","https://openalex.org/W2396782186","https://openalex.org/W2535496140","https://openalex.org/W2542482481","https://openalex.org/W2617270682","https://openalex.org/W2782263681","https://openalex.org/W2790687101","https://openalex.org/W2800693632","https://openalex.org/W2903305514","https://openalex.org/W2915116423","https://openalex.org/W2926523766","https://openalex.org/W2963443408","https://openalex.org/W2963841451","https://openalex.org/W2963967579","https://openalex.org/W2964130914","https://openalex.org/W3000307639","https://openalex.org/W3015834454","https://openalex.org/W3047315672","https://openalex.org/W3148325197","https://openalex.org/W4224122957","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2895097035","https://openalex.org/W4206903459","https://openalex.org/W2754816816","https://openalex.org/W4366280654","https://openalex.org/W3160167280","https://openalex.org/W4362706668","https://openalex.org/W4231621013","https://openalex.org/W2015288657","https://openalex.org/W1971945429","https://openalex.org/W3020853991"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,94],"consider":[4],"the":[5,19,47,54,57,67,74,91,98,114,117,129,157],"problem":[6],"of":[7,12,21,56,100,159],"phase":[8,59],"retrieval,":[9],"which":[10],"consists":[11],"recovering":[13],"an":[14,154],"$n$-dimensional":[15],"real":[16],"vector":[17,119],"from":[18],"magnitude":[20],"its":[22],"$m$":[23,102],"linear":[24,135],"measurements.":[25],"We":[26,65],"propose":[27],"a":[28,38,122,133,139],"mirror":[29,68,130],"descent":[30,69,131],"(or":[31],"Bregman":[32,41],"gradient":[33,55],"descent)":[34],"algorithm":[35,115],"based":[36],"on":[37,53],"wisely":[39],"chosen":[40],"divergence,":[42],"hence":[43],"allowing":[44],"to":[45,62,121,156],"remove":[46],"classical":[48],"global":[49,123],"Lipschitz":[50],"continuity":[51],"requirement":[52],"non-convex":[58],"retrieval":[60],"objective":[61],"be":[63],"minimized.":[64],"apply":[66],"for":[70,110],"two":[71],"random":[72],"measurements:":[73],"\\iid":[75],"standard":[76],"Gaussian":[77,92],"and":[78],"those":[79],"obtained":[80],"by":[81],"multiple":[82],"structured":[83],"illuminations":[84],"through":[85],"Coded":[86],"Diffraction":[87],"Patterns":[88],"(CDP).":[89],"For":[90,126],"case,":[93],"show":[95],"that":[96],"when":[97],"number":[99],"measurements":[101],"is":[103],"large":[104],"enough,":[105],"then":[106],"with":[107,138,149],"high":[108],"probability,":[109],"almost":[111],"all":[112],"initializers,":[113],"recovers":[116],"original":[118],"up":[120],"sign":[124],"change.":[125],"both":[127],"measurements,":[128],"exhibits":[132],"local":[134],"convergence":[136,141],"behaviour":[137],"dimension-independent":[140],"rate.":[142],"Our":[143],"theoretical":[144],"results":[145],"are":[146],"finally":[147],"illustrated":[148],"various":[150],"numerical":[151],"experiments,":[152],"including":[153],"application":[155],"reconstruction":[158],"images":[160],"in":[161],"precision":[162],"optics.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
