{"id":"https://openalex.org/W2783077180","doi":"https://doi.org/10.1137/17m1120439","title":"Variational Phase Retrieval with Globally Convergent Preconditioned Proximal Algorithm","display_name":"Variational Phase Retrieval with Globally Convergent Preconditioned Proximal Algorithm","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2783077180","doi":"https://doi.org/10.1137/17m1120439","mag":"2783077180"},"language":"en","primary_location":{"id":"doi:10.1137/17m1120439","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1120439","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":"article","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/A5005718505","display_name":"Huibin Chang","orcid":"https://orcid.org/0000-0002-8833-8940"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Huibin Chang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8833-8940","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079976946","display_name":"Stefano Marchesini","orcid":"https://orcid.org/0000-0002-6798-2913"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stefano Marchesini","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6798-2913","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062067602","display_name":"Yifei Lou","orcid":"https://orcid.org/0000-0003-1973-5704"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yifei Lou","raw_affiliation_strings":["University of Texas at Dallas"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Dallas","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059443966","display_name":"Tieyong Zeng","orcid":"https://orcid.org/0000-0002-0688-202X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tieyong Zeng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005718505"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.2837,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.95727223,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"11","issue":"1","first_page":"56","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9739000201225281,"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":0.9544000029563904,"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/regularization","display_name":"Regularization (linguistics)","score":0.7893012762069702},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7631425857543945},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7376919984817505},{"id":"https://openalex.org/keywords/phase-retrieval","display_name":"Phase retrieval","score":0.7049416899681091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6099657416343689},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5861895084381104},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5710138082504272},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4718599021434784},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.47095948457717896},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46415528655052185},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.44805431365966797},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.43718254566192627},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3326922655105591},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28306999802589417},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2420351803302765},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0863344669342041},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08288103342056274}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7893012762069702},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7631425857543945},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7376919984817505},{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.7049416899681091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6099657416343689},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5861895084381104},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5710138082504272},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4718599021434784},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.47095948457717896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46415528655052185},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.44805431365966797},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.43718254566192627},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3326922655105591},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28306999802589417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2420351803302765},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0863344669342041},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08288103342056274},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":1,"locations":[{"id":"doi:10.1137/17m1120439","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1120439","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/G1981491871","display_name":null,"funder_award_id":"11501413","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G211993846","display_name":null,"funder_award_id":"043-135202XC1605","funder_id":"https://openalex.org/F4320324792","funder_display_name":"Tianjin Normal University"},{"id":"https://openalex.org/G3383313003","display_name":null,"funder_award_id":"12302714","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G4072796131","display_name":null,"funder_award_id":"DOE-DE-AC03-76SF00098","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6871065003","display_name":null,"funder_award_id":"11271049","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7527510274","display_name":null,"funder_award_id":"51609259","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8336011166","display_name":null,"funder_award_id":"11426165","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G961723379","display_name":null,"funder_award_id":"DMS-1522786","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320324792","display_name":"Tianjin Normal University","ror":"https://ror.org/05x2td559"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W221278985","https://openalex.org/W1484412996","https://openalex.org/W1552037902","https://openalex.org/W1591127085","https://openalex.org/W1967587383","https://openalex.org/W1977901803","https://openalex.org/W1981112674","https://openalex.org/W2001613283","https://openalex.org/W2004602201","https://openalex.org/W2007593159","https://openalex.org/W2015911499","https://openalex.org/W2020461703","https://openalex.org/W2027982384","https://openalex.org/W2040192961","https://openalex.org/W2047544230","https://openalex.org/W2050189609","https://openalex.org/W2069322451","https://openalex.org/W2080567893","https://openalex.org/W2101769813","https://openalex.org/W2103559027","https://openalex.org/W2126320627","https://openalex.org/W2129732816","https://openalex.org/W2136328862","https://openalex.org/W2142949395","https://openalex.org/W2145080587","https://openalex.org/W2156713402","https://openalex.org/W2156719288","https://openalex.org/W2158902838","https://openalex.org/W2167850383","https://openalex.org/W2327462959","https://openalex.org/W2554330058","https://openalex.org/W2761315682","https://openalex.org/W2783478024","https://openalex.org/W2953002888","https://openalex.org/W2962761770","https://openalex.org/W2962914151","https://openalex.org/W2962999772","https://openalex.org/W2963431052","https://openalex.org/W2963841451","https://openalex.org/W2963855280","https://openalex.org/W3100937069","https://openalex.org/W3101774939","https://openalex.org/W3102206315","https://openalex.org/W3104105574","https://openalex.org/W3148325197","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W1677518548","https://openalex.org/W4286857066","https://openalex.org/W3213958552","https://openalex.org/W4238239967","https://openalex.org/W4297812081","https://openalex.org/W2949926331","https://openalex.org/W2754545762","https://openalex.org/W4299562540","https://openalex.org/W3175273680","https://openalex.org/W4298208753"],"abstract_inverted_index":{"We":[0],"reformulate":[1],"the":[2,30,45,51,58,69,72],"original":[3],"phase":[4,60],"retrieval":[5,61],"problem":[6],"into":[7],"two":[8,23],"variational":[9],"models":[10,24],"(with":[11],"and":[12],"without":[13],"regularization),":[14],"both":[15],"containing":[16],"a":[17],"globally":[18],"Lipschitz":[19,46],"differentiable":[20,47],"term.":[21],"These":[22],"can":[25],"be":[26],"efficiently":[27],"solved":[28],"via":[29],"proposed":[31,73],"Partially":[32],"Preconditioned":[33],"Proximal":[34],"Alternating":[35],"Linearized":[36],"Minimization":[37],"(P${}^3$ALM)":[38],"for":[39,56],"masked":[40],"Fourier":[41],"measurements.":[42],"Thanks":[43],"to":[44,67],"term,":[48],"we":[49],"prove":[50],"global":[52],"convergence":[53],"of":[54,71],"P${}^3$ALM":[55],"solving":[57],"nonconvex":[59],"problems.":[62],"Extensive":[63],"experiments":[64],"are":[65],"conducted":[66],"show":[68],"effectiveness":[70],"methods.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
