{"id":"https://openalex.org/W3006924053","doi":"https://doi.org/10.23919/eusipco47968.2020.9287703","title":"3D Phase Retrieval at Nano-Scale via Accelerated Wirtinger Flow","display_name":"3D Phase Retrieval at Nano-Scale via Accelerated Wirtinger Flow","publication_year":2020,"publication_date":"2020-12-18","ids":{"openalex":"https://openalex.org/W3006924053","doi":"https://doi.org/10.23919/eusipco47968.2020.9287703","mag":"3006924053"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco47968.2020.9287703","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco47968.2020.9287703","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2002.11785","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088599790","display_name":"Zalan Fabian","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zalan Fabian","raw_affiliation_strings":["University of Southern California, Los Angeles, United States","University of Southern California,Department of Electrical and Computer Engineering,Los Angeles,United States"],"affiliations":[{"raw_affiliation_string":"University of Southern California, Los Angeles, United States","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"University of Southern California,Department of Electrical and Computer Engineering,Los Angeles,United States","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031370363","display_name":"Justin P. Haldar","orcid":"https://orcid.org/0000-0002-1838-0211"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Justin Haldar","raw_affiliation_strings":["University of Southern California, Los Angeles, United States","University of Southern California,Department of Electrical and Computer Engineering,Los Angeles,United States"],"affiliations":[{"raw_affiliation_string":"University of Southern California, Los Angeles, United States","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"University of Southern California,Department of Electrical and Computer Engineering,Los Angeles,United States","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054387045","display_name":"Richard M. Leahy","orcid":"https://orcid.org/0000-0002-7278-5471"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard Leahy","raw_affiliation_strings":["University of Southern California, Los Angeles, United States","University of Southern California,Department of Electrical and Computer Engineering,Los Angeles,United States"],"affiliations":[{"raw_affiliation_string":"University of Southern California, Los Angeles, United States","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"University of Southern California,Department of Electrical and Computer Engineering,Los Angeles,United States","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046962187","display_name":"Mahdi Soltanolkotabi","orcid":"https://orcid.org/0000-0003-2101-6418"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mahdi Soltanolkotabi","raw_affiliation_strings":["University of Southern California, Los Angeles, United States","University of Southern California,Department of Electrical and Computer Engineering,Los Angeles,United States"],"affiliations":[{"raw_affiliation_string":"University of Southern California, Los Angeles, United States","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"University of Southern California,Department of Electrical and Computer Engineering,Los Angeles,United States","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088599790"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":0.49395065,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63324698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2080","last_page":"2084"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10857","display_name":"Advanced Electron Microscopy Techniques and Applications","score":0.989799976348877,"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"}},{"id":"https://openalex.org/T11897","display_name":"Digital Holography and Microscopy","score":0.9887999892234802,"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/leverage","display_name":"Leverage (statistics)","score":0.7810806035995483},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.625471830368042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6186303496360779},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.5950075387954712},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5596870183944702},{"id":"https://openalex.org/keywords/phase-retrieval","display_name":"Phase retrieval","score":0.552047073841095},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5164563655853271},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5026462078094482},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4625493884086609},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4189216196537018},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.41656461358070374},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32485654950141907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26782071590423584},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.19958937168121338},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1136840283870697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08970323204994202}],"concepts":[{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.7810806035995483},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.625471830368042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6186303496360779},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.5950075387954712},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5596870183944702},{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.552047073841095},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5164563655853271},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5026462078094482},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4625493884086609},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4189216196537018},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.41656461358070374},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32485654950141907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26782071590423584},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.19958937168121338},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1136840283870697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08970323204994202},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23919/eusipco47968.2020.9287703","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco47968.2020.9287703","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"},{"id":"pmh:oai:arXiv.org:2002.11785","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.11785","pdf_url":"https://arxiv.org/pdf/2002.11785","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},{"id":"mag:3006924053","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2002.11785","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2002.11785","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2002.11785","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2002.11785","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.11785","pdf_url":"https://arxiv.org/pdf/2002.11785","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3006924053.pdf","grobid_xml":"https://content.openalex.org/works/W3006924053.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1847564501","https://openalex.org/W1984817386","https://openalex.org/W2009741028","https://openalex.org/W2013280482","https://openalex.org/W2018254338","https://openalex.org/W2022462155","https://openalex.org/W2047602908","https://openalex.org/W2059293573","https://openalex.org/W2067638548","https://openalex.org/W2070309911","https://openalex.org/W2088321072","https://openalex.org/W2092306008","https://openalex.org/W2114520361","https://openalex.org/W2126888116","https://openalex.org/W2142057033","https://openalex.org/W2142949395","https://openalex.org/W2145935664","https://openalex.org/W2261975831","https://openalex.org/W2595276417","https://openalex.org/W2744234502","https://openalex.org/W2766841145","https://openalex.org/W2808573316","https://openalex.org/W2912362534","https://openalex.org/W2922391227","https://openalex.org/W2963960631","https://openalex.org/W2964073363","https://openalex.org/W2964130914","https://openalex.org/W2980029740","https://openalex.org/W3098933358","https://openalex.org/W3102206315","https://openalex.org/W3104075860","https://openalex.org/W6752321124","https://openalex.org/W6774074650"],"related_works":["https://openalex.org/W3034613356","https://openalex.org/W2769150920","https://openalex.org/W2626680228","https://openalex.org/W1965322655","https://openalex.org/W3036279294","https://openalex.org/W3101565819","https://openalex.org/W2473159953","https://openalex.org/W2613638403","https://openalex.org/W3022569547","https://openalex.org/W2610254133","https://openalex.org/W2787065368","https://openalex.org/W3144113301","https://openalex.org/W2402388369","https://openalex.org/W2982874749","https://openalex.org/W2279132844","https://openalex.org/W3208879860","https://openalex.org/W3085764289","https://openalex.org/W2129503988","https://openalex.org/W2949113243","https://openalex.org/W1968264447"],"abstract_inverted_index":{"Imaging":[0],"3D":[1,36,72,129],"nano-structures":[2],"at":[3,125],"very":[4],"high":[5],"resolution":[6],"is":[7,50,74],"crucial":[8],"in":[9],"a":[10,44,67,93],"variety":[11,45],"of":[12,20,34,46,88,107,118,128],"scientific":[13],"fields.":[14],"However,":[15],"due":[16],"to":[17,96,140],"fundamental":[18],"limitations":[19],"light":[21],"propagation":[22,81],"we":[23,65,84,133],"can":[24],"only":[25],"measure":[26],"the":[27,35,71,86,104,111,116],"object":[28,73],"indirectly":[29],"via":[30,121],"2D":[31],"intensity":[32],"measurements":[33,108],"specimen":[37],"through":[38],"highly":[39,56],"nonlinear":[40],"projection":[41],"mappings":[42],"where":[43,70],"information":[47],"(including":[48],"phase)":[49],"lost.":[51],"Reconstruction":[52],"therefore":[53],"involves":[54],"inverting":[55],"non-linear":[57,80],"and":[58,91,100,109],"seemingly":[59],"non-invertible":[60],"mappings.":[61],"In":[62],"this":[63,89],"paper,":[64],"introduce":[66],"novel":[68],"technique":[69],"directly":[75],"reconstructed":[76],"from":[77],"an":[78],"accurate":[79],"model.":[82],"Furthermore,":[83],"characterize":[85],"ambiguities":[87],"model":[90],"leverage":[92],"priori":[94],"knowledge":[95],"mitigate":[97],"their":[98],"effect":[99],"also":[101],"significantly":[102],"reduce":[103],"required":[105],"number":[106],"hence":[110],"acquisition":[112],"time.":[113],"We":[114],"demonstrate":[115],"performance":[117],"our":[119],"algorithm":[120],"numerical":[122],"experiments":[123],"aimed":[124],"nano-scale":[126],"reconstruction":[127],"integrated":[130],"circuits.":[131],"Moreover,":[132],"provide":[134],"rigorous":[135],"theoretical":[136],"guarantees":[137],"for":[138],"convergence":[139],"stationarity.":[141]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}