{"id":"https://openalex.org/W2256685641","doi":"https://doi.org/10.1109/tsp.2016.2607180","title":"DOLPHIn\u2014Dictionary Learning for Phase Retrieval","display_name":"DOLPHIn\u2014Dictionary Learning for Phase Retrieval","publication_year":2016,"publication_date":"2016-09-08","ids":{"openalex":"https://openalex.org/W2256685641","doi":"https://doi.org/10.1109/tsp.2016.2607180","mag":"2256685641"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2016.2607180","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2607180","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1602.02263","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054911291","display_name":"Andreas M. Tillmann","orcid":"https://orcid.org/0000-0002-7744-836X"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas M. Tillmann","raw_affiliation_strings":["TU Darmstadt, Research Group Optimization, Darmstadt, Germany","TU Darmstadt - Technische Universit\u00e4t Darmstadt - Technical University of Darmstadt (Karolinenplatz 5, 64289 Darmstadt - Germany)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Darmstadt, Research Group Optimization, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"TU Darmstadt - Technische Universit\u00e4t Darmstadt - Technical University of Darmstadt (Karolinenplatz 5, 64289 Darmstadt - Germany)","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005913897","display_name":"Yonina C. Eldar","orcid":"https://orcid.org/0000-0003-4358-5304"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yonina C. Eldar","raw_affiliation_strings":["Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Haifa, Israel","EE-Technion - Department of Electrical Engineering - Technion [Ha\u00effa] (Department of Electrical Engineering, The Technion \u2013 Israel Institute of Technology, Ha\u00effa 32000 Isra\u00ebl - Israel)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"EE-Technion - Department of Electrical Engineering - Technion [Ha\u00effa] (Department of Electrical Engineering, The Technion \u2013 Israel Institute of Technology, Ha\u00effa 32000 Isra\u00ebl - Israel)","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062817741","display_name":"Julien Mairal","orcid":"https://orcid.org/0000-0001-6991-2110"},"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/I4210101348","display_name":"Centre Inria de l'Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/00n8d6z93","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210101348"]},{"id":"https://openalex.org/I4210149092","display_name":"Laboratoire Jean Kuntzmann","ror":"https://ror.org/04ett5b41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210149092","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julien Mairal","raw_affiliation_strings":["Inria, Lear Team, Laboratoire Jean Kuntzmann, CNRS, Universit\u00e9 Grenoble Alpes, Montbonnot, France","Thoth  - Apprentissage de mod\u00e8les \u00e0 partir de donn\u00e9es massives (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria, Lear Team, Laboratoire Jean Kuntzmann, CNRS, Universit\u00e9 Grenoble Alpes, Montbonnot, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210101348","https://openalex.org/I4210149092","https://openalex.org/I899635006"]},{"raw_affiliation_string":"Thoth  - Apprentissage de mod\u00e8les \u00e0 partir de donn\u00e9es massives (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.4774,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.98602627,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"64","issue":"24","first_page":"6485","last_page":"6500"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9559999704360962,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/computer-science","display_name":"Computer science","score":0.7016146183013916},{"id":"https://openalex.org/keywords/phase-retrieval","display_name":"Phase retrieval","score":0.6502230763435364},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.5764718651771545},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5362697243690491},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.534157395362854},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5267519354820251},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5071237087249756},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4890609681606293},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.4741237461566925},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4381249248981476},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.38827481865882874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3799241781234741},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.36808356642723083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2120976746082306}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7016146183013916},{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.6502230763435364},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.5764718651771545},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5362697243690491},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.534157395362854},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5267519354820251},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5071237087249756},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4890609681606293},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.4741237461566925},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4381249248981476},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.38827481865882874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3799241781234741},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.36808356642723083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2120976746082306},{"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/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2016.2607180","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2607180","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1602.02263","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.02263","pdf_url":"https://arxiv.org/pdf/1602.02263","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01387428v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01387428","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":"http://ieeexplore.ieee.org/document/7563347/","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1602.02263","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.02263","pdf_url":"https://arxiv.org/pdf/1602.02263","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4182220265","display_name":"large-scale machine learning and applications","funder_award_id":"ANR-14-CE23-0003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G738928039","display_name":null,"funder_award_id":"335/14","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G754625635","display_name":null,"funder_award_id":"ANR-14-CE23-0003-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8777520260","display_name":null,"funder_award_id":"CE23-0003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W143004564","https://openalex.org/W340244495","https://openalex.org/W649866511","https://openalex.org/W1484412996","https://openalex.org/W1591116419","https://openalex.org/W1779663849","https://openalex.org/W1986931325","https://openalex.org/W2001613283","https://openalex.org/W2007593159","https://openalex.org/W2008732654","https://openalex.org/W2015911499","https://openalex.org/W2031197045","https://openalex.org/W2039050532","https://openalex.org/W2045142754","https://openalex.org/W2055191162","https://openalex.org/W2067638548","https://openalex.org/W2100556411","https://openalex.org/W2101769813","https://openalex.org/W2103315115","https://openalex.org/W2108078415","https://openalex.org/W2108763700","https://openalex.org/W2112447569","https://openalex.org/W2117497535","https://openalex.org/W2128659236","https://openalex.org/W2133665775","https://openalex.org/W2142949395","https://openalex.org/W2145080587","https://openalex.org/W2145889472","https://openalex.org/W2153663612","https://openalex.org/W2156122508","https://openalex.org/W2160547390","https://openalex.org/W2196956961","https://openalex.org/W2256685641","https://openalex.org/W2398323798","https://openalex.org/W2542482481","https://openalex.org/W2953002888","https://openalex.org/W2962999772","https://openalex.org/W2983347919","https://openalex.org/W3099497614","https://openalex.org/W3100106241","https://openalex.org/W3102206315","https://openalex.org/W3148325197","https://openalex.org/W4206310440","https://openalex.org/W4235713725","https://openalex.org/W4242209908","https://openalex.org/W4300263211","https://openalex.org/W6608805005","https://openalex.org/W6617137029","https://openalex.org/W6628955290","https://openalex.org/W6676727762"],"related_works":["https://openalex.org/W17155033","https://openalex.org/W3207760230","https://openalex.org/W1496222301","https://openalex.org/W4312814274","https://openalex.org/W1590307681","https://openalex.org/W2536018345","https://openalex.org/W4285370786","https://openalex.org/W2296488620","https://openalex.org/W2358353312","https://openalex.org/W2756399655"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,7,26,33,65,95,141],"new":[3],"algorithm":[4,85],"to":[5,55],"learn":[6],"dictionary":[8,78,96],"for":[9,120,144],"reconstructing":[10],"and":[11],"sparsely":[12,107],"encoding":[13],"signals":[14],"from":[15,29],"measurements":[16,31],"without":[17],"phase.":[18],"Specifically,":[19],"we":[20,62,139],"consider":[21,63],"the":[22,38,50,70,76,88,102,136],"task":[23],"of":[24,32,37,49,72,101],"estimating":[25],"two-dimensional":[27],"image":[28,104],"squared-magnitude":[30],"complex-valued":[34],"linear":[35],"transformation":[36],"original":[39],"image.":[40],"Several":[41],"recent":[42],"phase":[43,73,121],"retrieval":[44,122],"algorithms":[45],"exploit":[46,130],"underlying":[47],"sparsity":[48],"unknown":[51,89],"signal":[52,67],"in":[53,69,82],"order":[54],"improve":[56],"recovery":[57],"performance.":[58],"In":[59],"this":[60],"work,":[61],"such":[64,97,131],"sparse":[66],"prior":[68],"context":[71],"retrieval,":[74],"when":[75],"sparsifying":[77],"is":[79],"not":[80],"known":[81],"advance.":[83],"Our":[84],"jointly":[86],"reconstructs":[87],"signal-possibly":[90],"corrupted":[91],"by":[92],"noise-and":[93],"learns":[94],"that":[98,112,128],"each":[99],"patch":[100],"estimated":[103],"can":[105,115],"be":[106],"represented.":[108],"Numerical":[109],"experiments":[110],"demonstrate":[111],"our":[113,145],"approach":[114],"obtain":[116],"significantly":[117],"better":[118],"reconstructions":[119],"problems":[123],"with":[124],"noise":[125],"than":[126],"methods":[127],"cannot":[129],"\u201chidden\u201d":[132],"sparsity.":[133],"Moreover,":[134],"on":[135],"theoretical":[137],"side,":[138],"provide":[140],"convergence":[142],"result":[143],"method.":[146]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}