{"id":"https://openalex.org/W1967070591","doi":"https://doi.org/10.1109/allerton.2012.6483299","title":"On robust phase retrieval for sparse signals","display_name":"On robust phase retrieval for sparse signals","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W1967070591","doi":"https://doi.org/10.1109/allerton.2012.6483299","mag":"1967070591"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2012.6483299","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2012.6483299","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/1264190","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043156671","display_name":"Kishore Jaganathan","orcid":"https://orcid.org/0000-0002-7829-4892"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kishore Jaganathan","raw_affiliation_strings":["Department of Electrical Engineering, Caltech, Pasadena, CA, USA","[Department of Electrical Engineering, Caltech, Pasadena, CA 91125]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Caltech, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Department of Electrical Engineering, Caltech, Pasadena, CA 91125]","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050547472","display_name":"Samet Oymak","orcid":"https://orcid.org/0000-0001-5203-0752"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Samet Oymak","raw_affiliation_strings":["Department of Electrical Engineering, Caltech, Pasadena, CA, USA","[Department of Electrical Engineering, Caltech, Pasadena, CA 91125]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Caltech, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Department of Electrical Engineering, Caltech, Pasadena, CA 91125]","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002430773","display_name":"Babak Hassibi","orcid":"https://orcid.org/0000-0002-1375-5838"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Babak Hassibi","raw_affiliation_strings":["Department of Electrical Engineering, Caltech, Pasadena, CA, USA","[Department of Electrical Engineering, Caltech, Pasadena, CA 91125]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Caltech, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[Department of Electrical Engineering, Caltech, Pasadena, CA 91125]","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043156671"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":4.1801,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93336477,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"794","last_page":"799"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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":0.987500011920929,"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/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.9708999991416931,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/phase-retrieval","display_name":"Phase retrieval","score":0.67497718334198},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6115416884422302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5585536956787109},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5274893045425415},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5196920037269592},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5027673244476318},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4791359603404999},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.321567565202713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2859230637550354},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.12113475799560547},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10499894618988037}],"concepts":[{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.67497718334198},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6115416884422302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5585536956787109},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5274893045425415},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5196920037269592},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5027673244476318},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4791359603404999},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.321567565202713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2859230637550354},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.12113475799560547},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10499894618988037},{"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/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/allerton.2012.6483299","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2012.6483299","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:zenodo.org:1264190","is_oa":true,"landing_page_url":"https://zenodo.org/record/1264190","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:1264190","is_oa":true,"landing_page_url":"https://zenodo.org/record/1264190","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W606453859","https://openalex.org/W1484412996","https://openalex.org/W1560013842","https://openalex.org/W2007593159","https://openalex.org/W2031197045","https://openalex.org/W2031909596","https://openalex.org/W2044613770","https://openalex.org/W2067638548","https://openalex.org/W2068871408","https://openalex.org/W2077647472","https://openalex.org/W2078397124","https://openalex.org/W2095745112","https://openalex.org/W2102019642","https://openalex.org/W2108078415","https://openalex.org/W2117551674","https://openalex.org/W2118550318","https://openalex.org/W2131172946","https://openalex.org/W2496163386","https://openalex.org/W3100106241","https://openalex.org/W6628955290","https://openalex.org/W6633431331"],"related_works":["https://openalex.org/W71506826","https://openalex.org/W4281892237","https://openalex.org/W2025198968","https://openalex.org/W4382984197","https://openalex.org/W4304699772","https://openalex.org/W2084330196","https://openalex.org/W2076813324","https://openalex.org/W4321641124","https://openalex.org/W4311544914","https://openalex.org/W2963763142"],"abstract_inverted_index":{"Recovering":[0],"signals":[1],"from":[2,108,186],"their":[3],"Fourier":[4,25,110,188],"transform":[5,26,111,189],"magnitudes":[6,27],"is":[7,43,55,58,153,201],"a":[8],"classical":[9],"problem":[10,92],"referred":[11],"to":[12,33],"as":[13,64],"phase":[14,90],"retrieval":[15,91],"and":[16,38,113,173,191],"has":[17,86],"been":[18,77,87],"around":[19],"for":[20,79,129,136],"decades.":[21],"In":[22,45,122,166],"general,":[23],"the":[24,36,52,102,105,109,116,119,134,184,198],"do":[28],"not":[29],"carry":[30],"enough":[31],"information":[32,42],"uniquely":[34],"identify":[35],"signal":[37,54,107,117,185],"therefore":[39],"additional":[40],"prior":[41],"required.":[44],"this":[46,80,167],"paper,":[47,168],"we":[48,126,169],"shall":[49],"assume":[50],"that":[51,150],"underlying":[53],"sparse,":[56],"which":[57,131,181],"true":[59],"in":[60],"many":[61],"applications":[62],"such":[63],"X-ray":[65],"crystallography,":[66],"astronomical":[67],"imaging,":[68],"etc.":[69],"Recently,":[70],"several":[71],"techniques":[72],"involving":[73],"semidefinite":[74,179],"relaxations":[75],"have":[76],"proposed":[78],"problem,":[81],"however":[82],"very":[83],"little":[84],"analysis":[85],"performed.":[88],"The":[89],"can":[93],"be":[94],"decomposed":[95],"into":[96],"two":[97],"tasks":[98],"-":[99],"(i)":[100,130],"identifying":[101],"support":[103,120,135,151,192,199],"of":[104],"sparse":[106],"magnitudes,":[112],"(ii)":[114,172],"recovering":[115],"using":[118],"information.":[121],"earlier":[123],"work":[124],"[13],":[125],"developed":[127],"algorithms":[128],"provably":[132,182],"recovered":[133],"sparsities":[137],"upto":[138,155],"O(n":[139,157,202],"<sup":[140,144,158,162,203,207],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[141,145,159,163,204,208],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[142,160,205],"/":[143,161,206],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3-\u03f5</sup>":[146],").":[147,165,210],"Simulations":[148],"suggest":[149],"recovery":[152],"possible":[154],"sparsity":[156],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2-\u03f5</sup>":[164,209],"focus":[170],"on":[171,178],"propose":[174],"an":[175],"algorithm":[176],"based":[177],"relaxation,":[180],"recovers":[183],"its":[187],"magnitude":[190],"knowledge":[193],"with":[194],"high":[195],"probability":[196],"if":[197],"size":[200]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
