{"id":"https://openalex.org/W4405618016","doi":"https://doi.org/10.3390/a17120587","title":"Unfolded Algorithms for Deep Phase Retrieval","display_name":"Unfolded Algorithms for Deep Phase Retrieval","publication_year":2024,"publication_date":"2024-12-20","ids":{"openalex":"https://openalex.org/W4405618016","doi":"https://doi.org/10.3390/a17120587"},"language":"en","primary_location":{"id":"doi:10.3390/a17120587","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17120587","pdf_url":"https://www.mdpi.com/1999-4893/17/12/587/pdf?version=1734679906","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/12/587/pdf?version=1734679906","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064948629","display_name":"Naveed Naimipour","orcid":null},"institutions":[{"id":"https://openalex.org/I1306266525","display_name":"Goddard Space Flight Center","ror":"https://ror.org/0171mag52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1306266525","https://openalex.org/I4210124779"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Naveed Naimipour","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, IL 60607, USA","NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, IL 60607, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA","institution_ids":["https://openalex.org/I1306266525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084003913","display_name":"Shahin Khobahi","orcid":"https://orcid.org/0000-0003-3232-845X"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shahin Khobahi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, IL 60607, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, IL 60607, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053865178","display_name":"Mojtaba Soltanalian","orcid":"https://orcid.org/0000-0003-3714-4449"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mojtaba Soltanalian","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, IL 60607, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois Chicago, Chicago, IL 60607, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017948515","display_name":"Haleh Safavi","orcid":null},"institutions":[{"id":"https://openalex.org/I1306266525","display_name":"Goddard Space Flight Center","ror":"https://ror.org/0171mag52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1306266525","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haleh Safavi","raw_affiliation_strings":["NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA"],"affiliations":[{"raw_affiliation_string":"NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA","institution_ids":["https://openalex.org/I1306266525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059384263","display_name":"Harry Shaw","orcid":"https://orcid.org/0000-0001-7241-3793"},"institutions":[{"id":"https://openalex.org/I1306266525","display_name":"Goddard Space Flight Center","ror":"https://ror.org/0171mag52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1306266525","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Harry C. Shaw","raw_affiliation_strings":["NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA"],"affiliations":[{"raw_affiliation_string":"NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA","institution_ids":["https://openalex.org/I1306266525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5064948629"],"corresponding_institution_ids":["https://openalex.org/I1306266525","https://openalex.org/I39422238"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33689525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"12","first_page":"587","last_page":"587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9355000257492065,"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/T10857","display_name":"Advanced Electron Microscopy Techniques and Applications","score":0.9228000044822693,"subfield":{"id":"https://openalex.org/subfields/1315","display_name":"Structural Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.8777211308479309},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7881633043289185},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6476774215698242},{"id":"https://openalex.org/keywords/phase-retrieval","display_name":"Phase retrieval","score":0.5752496719360352},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.4950925409793854},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.48572832345962524},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4420838952064514},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.43583914637565613},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4252474009990692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1053743064403534},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.08617353439331055}],"concepts":[{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.8777211308479309},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7881633043289185},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6476774215698242},{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.5752496719360352},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.4950925409793854},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.48572832345962524},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4420838952064514},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.43583914637565613},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4252474009990692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1053743064403534},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.08617353439331055},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a17120587","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17120587","pdf_url":"https://www.mdpi.com/1999-4893/17/12/587/pdf?version=1734679906","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:848dcd551ba544a48a654da7985fc72b","is_oa":true,"landing_page_url":"https://doaj.org/article/848dcd551ba544a48a654da7985fc72b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 17, Iss 12, p 587 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17120587","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17120587","pdf_url":"https://www.mdpi.com/1999-4893/17/12/587/pdf?version=1734679906","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"},{"id":"https://openalex.org/F4320332377","display_name":"Goddard Space Flight Center","ror":"https://ror.org/0171mag52"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405618016.pdf","grobid_xml":"https://content.openalex.org/works/W4405618016.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W221278985","https://openalex.org/W1484412996","https://openalex.org/W1583837637","https://openalex.org/W1857867064","https://openalex.org/W1964585394","https://openalex.org/W1966655654","https://openalex.org/W1972822190","https://openalex.org/W1976788088","https://openalex.org/W1990760144","https://openalex.org/W2002182974","https://openalex.org/W2007593159","https://openalex.org/W2015058428","https://openalex.org/W2044613770","https://openalex.org/W2077377823","https://openalex.org/W2078397124","https://openalex.org/W2092910630","https://openalex.org/W2101243341","https://openalex.org/W2142949395","https://openalex.org/W2154232923","https://openalex.org/W2165644203","https://openalex.org/W2169501582","https://openalex.org/W2219727625","https://openalex.org/W2225493895","https://openalex.org/W2556597664","https://openalex.org/W2609203780","https://openalex.org/W2613481513","https://openalex.org/W2739673121","https://openalex.org/W2783859821","https://openalex.org/W2826158057","https://openalex.org/W2891337355","https://openalex.org/W2895452249","https://openalex.org/W2902355249","https://openalex.org/W2905472194","https://openalex.org/W2919115771","https://openalex.org/W2935677078","https://openalex.org/W2935732260","https://openalex.org/W2953651551","https://openalex.org/W2963081547","https://openalex.org/W2963322354","https://openalex.org/W2970898848","https://openalex.org/W2998907898","https://openalex.org/W3011730771","https://openalex.org/W3015195406","https://openalex.org/W3015322664","https://openalex.org/W3083868840","https://openalex.org/W3091085437","https://openalex.org/W3098248527","https://openalex.org/W3098600672","https://openalex.org/W3102722370","https://openalex.org/W3102896415","https://openalex.org/W3108591189","https://openalex.org/W3133902371","https://openalex.org/W3171699820","https://openalex.org/W4249594181","https://openalex.org/W6628955290","https://openalex.org/W6747969630","https://openalex.org/W6756040250"],"related_works":["https://openalex.org/W2905433371","https://openalex.org/W2888392564","https://openalex.org/W4310278675","https://openalex.org/W4388422664","https://openalex.org/W4390569940","https://openalex.org/W4361193272","https://openalex.org/W2963326959","https://openalex.org/W2021614875","https://openalex.org/W2011100284","https://openalex.org/W3004215674"],"abstract_inverted_index":{"Exploring":[0],"the":[1,44,67,82,94,111,117,124,130,149,153,159,164,170,181],"idea":[2],"of":[3,20,24,69,86,97,148,172,184],"phase":[4,26,74,113,126,190],"retrieval":[5,27,75,114,127,191],"has":[6],"been":[7],"intriguing":[8],"researchers":[9],"for":[10],"decades":[11],"due":[12],"to":[13,31,55,110,187],"its":[14],"appearance":[15],"in":[16,65,139,163],"a":[17,25,33,48,145],"wide":[18],"range":[19],"applications.":[21],"The":[22,77],"task":[23],"algorithm":[28,156],"is":[29,108],"typically":[30],"recover":[32],"signal":[34,154],"from":[35,81,93],"linear":[36],"phase-less":[37],"measurements.":[38],"In":[39,101],"this":[40],"paper,":[41],"we":[42,143],"approach":[43],"problem":[45,115,128],"by":[46],"proposing":[47],"hybrid":[49,174],"model-based,":[50],"data-driven":[51,71,177],"deep":[52,98,106,160],"architecture":[53,107],"referred":[54],"as":[56],"Unfolded":[57],"Phase":[58],"Retrieval":[59],"(UPR),":[60],"which":[61],"exhibits":[62],"significant":[63],"potential":[64,183],"improving":[66],"performance":[68],"state-of-the-art":[70],"and":[72,84,123,152,157,176,179],"model-based":[73,88,105,175],"algorithms.":[76,192],"proposed":[78,104],"method":[79],"benefits":[80],"versatility":[83],"interpretability":[85],"well-established":[87],"algorithms":[89],"while":[90],"simultaneously":[91],"benefiting":[92],"expressive":[95],"power":[96],"neural":[99],"networks.":[100],"particular,":[102],"our":[103],"applied":[109],"conventional":[112],"(via":[116,129],"incremental":[118],"reshaped":[119],"Wirtinger":[120],"flow":[121,134],"algorithm)":[122],"sparse":[125,131],"truncated":[132],"amplitude":[133],"algorithm),":[135],"showing":[136],"immense":[137],"promise":[138],"both":[140],"cases.":[141],"Furthermore,":[142],"consider":[144],"joint":[146],"design":[147],"sensing":[150],"matrix":[151],"processing":[155],"utilize":[158],"unfolding":[161],"technique":[162],"process.":[165],"Our":[166],"numerical":[167],"results":[168],"illustrate":[169],"effectiveness":[171],"such":[173],"frameworks":[178],"showcase":[180],"untapped":[182],"data-aided":[185],"methodologies":[186],"enhance":[188],"existing":[189]},"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
