{"id":"https://openalex.org/W2889239103","doi":"https://doi.org/10.1109/ssp.2018.8450729","title":"A Smoothing Stochastic Phase Retrieval Algorithm for Solving Random Quadratic Systems","display_name":"A Smoothing Stochastic Phase Retrieval Algorithm for Solving Random Quadratic Systems","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2889239103","doi":"https://doi.org/10.1109/ssp.2018.8450729","mag":"2889239103"},"language":"en","primary_location":{"id":"doi:10.1109/ssp.2018.8450729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2018.8450729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021631342","display_name":"Samuel Pinilla","orcid":"https://orcid.org/0000-0002-6653-2363"},"institutions":[{"id":"https://openalex.org/I115684694","display_name":"Industrial University of Santander","ror":"https://ror.org/00xc1d948","country_code":"CO","type":"education","lineage":["https://openalex.org/I115684694"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Samuel Pinilla","raw_affiliation_strings":["Department of Electronic Engineering, Universidad Industrial de Santander"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Universidad Industrial de Santander","institution_ids":["https://openalex.org/I115684694"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084685753","display_name":"Jorge Bacca","orcid":"https://orcid.org/0000-0001-5264-7891"},"institutions":[{"id":"https://openalex.org/I115684694","display_name":"Industrial University of Santander","ror":"https://ror.org/00xc1d948","country_code":"CO","type":"education","lineage":["https://openalex.org/I115684694"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Jorge Bacca","raw_affiliation_strings":["Department of Computer Science, Universidad Industrial de Santander"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Universidad Industrial de Santander","institution_ids":["https://openalex.org/I115684694"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018816346","display_name":"Jean\u2010Yves Tourneret","orcid":"https://orcid.org/0000-0001-5219-3455"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Yves Tourneret","raw_affiliation_strings":["University of Toulouse, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081714132","display_name":"Henry Arg\u00fcello","orcid":"https://orcid.org/0000-0002-2202-253X"},"institutions":[{"id":"https://openalex.org/I115684694","display_name":"Industrial University of Santander","ror":"https://ror.org/00xc1d948","country_code":"CO","type":"education","lineage":["https://openalex.org/I115684694"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Henry Arguello","raw_affiliation_strings":["Department of Computer Science, Universidad Industrial de Santander"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Universidad Industrial de Santander","institution_ids":["https://openalex.org/I115684694"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.1888412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"278","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9991000294685364,"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":0.9991000294685364,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11338","display_name":"Advancements in Photolithography Techniques","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7171943187713623},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6470780968666077},{"id":"https://openalex.org/keywords/phase-retrieval","display_name":"Phase retrieval","score":0.5589442253112793},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5235726237297058},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5040497183799744},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47505828738212585},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.47049427032470703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4216741621494293},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3982396125793457},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3740895092487335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.198185533285141},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11723613739013672},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.08639931678771973}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7171943187713623},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6470780968666077},{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.5589442253112793},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5235726237297058},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5040497183799744},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47505828738212585},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.47049427032470703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4216741621494293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3982396125793457},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3740895092487335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.198185533285141},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11723613739013672},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.08639931678771973},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ssp.2018.8450729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2018.8450729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:oatao.univ-toulouse.fr:24767","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401987","display_name":"Open Archive Toulouse Archive Ouverte (University of Toulouse)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I17866349","host_organization_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","host_organization_lineage":["https://openalex.org/I17866349"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:HAL:hal-02494105v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02494105","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":"IEEE Statistical Signal Processing Workshop (SSP 2018), Jun 2018, Freiburg, Germany. pp.278-282","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:oatao.univ-toulouse.fr:24767","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401987","display_name":"Open Archive Toulouse Archive Ouverte (University of Toulouse)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I17866349","host_organization_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","host_organization_lineage":["https://openalex.org/I17866349"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1021899602","https://openalex.org/W1697075315","https://openalex.org/W1984395157","https://openalex.org/W2142949395","https://openalex.org/W2169501582","https://openalex.org/W2399198888","https://openalex.org/W2417643933","https://openalex.org/W2480292167","https://openalex.org/W2520218137","https://openalex.org/W2542482481","https://openalex.org/W2543132014","https://openalex.org/W2604075318","https://openalex.org/W2769808980","https://openalex.org/W2789709090","https://openalex.org/W2963841451","https://openalex.org/W2963865165","https://openalex.org/W2964106499","https://openalex.org/W2964262188","https://openalex.org/W3102206315","https://openalex.org/W6608805005","https://openalex.org/W6637461557","https://openalex.org/W6712627111"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W2393022482","https://openalex.org/W2377346130","https://openalex.org/W967181689","https://openalex.org/W2134817643","https://openalex.org/W2363386023"],"abstract_inverted_index":{"A":[0],"novel":[1],"Stochastic":[2],"Smoothing":[3],"Phase":[4,38],"Retrieval":[5,39],"(SSPR)":[6],"algorithm":[7,87],"is":[8,32,151],"studied":[9],"to":[10,61,69,77,110,140,153],"reconstruct":[11],"an":[12],"unknown":[13],"\u03b6signal":[14],"x":[15],"\u2208":[16],"\u211dnor":[17],"${{\\mathbb{C}}^n}$":[18],"from":[19],"a":[20,54,95,103,111,128,161],"set":[21],"of":[22,81,92,131,156,163,168],"absolute":[23],"square":[24],"projections":[25],"yk=":[26],"|\u3008ak;":[27],"x\u3009|2.":[28],"This":[29],"inverse":[30],"problem":[31,48,73],"known":[33],"in":[34],"the":[35,46,62,71,79,82,85,89,135,154],"literature":[36],"as":[37],"(PR).":[40],"Recent":[41],"works":[42],"have":[43],"shown":[44],"that":[45,125,149,167],"PR":[47,72],"can":[49],"be":[50],"solved":[51],"by":[52,94],"optimizing":[53],"nonconvex":[55],"and":[56,114,159],"non-smooth":[57],"cost":[58,83,90],"function.":[59,97],"Contrary":[60],"recent":[63],"truncated":[64],"gradient":[65],"descend":[66],"methods":[67],"developed":[68,142],"solve":[70],"(using":[74],"truncation":[75],"parameters":[76],"bypass":[78],"non-smoothness":[80],"function),":[84],"proposed":[86],"approximates":[88],"function":[91,101],"interest":[93],"smooth":[96,100],"Optimizing":[98],"this":[99],"involves":[102],"single":[104],"equation":[105],"per":[106],"iteration,":[107],"which":[108],"leads":[109],"simple":[112],"scalable":[113],"fast":[115],"method":[116],"especially":[117],"for":[118,133],"large":[119],"sample":[120],"sizes.":[121],"Extensive":[122],"simulations":[123],"suggest":[124],"SSPR":[126,150],"requires":[127],"reduced":[129],"number":[130],"measurements":[132],"recovering":[134],"signal":[136],"x,":[137],"when":[138],"compared":[139],"recently":[141],"stochastic":[143],"algorithms.":[144,170],"Our":[145],"experiments":[146],"also":[147],"demonstrate":[148],"robust":[152],"presence":[155],"additive":[157],"noise":[158],"has":[160],"speed":[162],"convergence":[164],"comparable":[165],"with":[166],"state-of-the-art":[169]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}