{"id":"https://openalex.org/W3087754430","doi":"https://doi.org/10.1137/20m132136x","title":"Toward a Mathematical Theory of the Crystallographic Phase Retrieval Problem","display_name":"Toward a Mathematical Theory of the Crystallographic Phase Retrieval Problem","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3087754430","doi":"https://doi.org/10.1137/20m132136x","mag":"3087754430"},"language":"en","primary_location":{"id":"doi:10.1137/20m132136x","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m132136x","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M132136X","source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"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 Mathematics of Data Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/20M132136X","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000527961","display_name":"Tamir Bendory","orcid":"https://orcid.org/0000-0003-2373-9388"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tamir Bendory","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5062899326","display_name":"Dan Edidin","orcid":"https://orcid.org/0000-0001-9670-9302"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dan Edidin","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000527961"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0652,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.9190555,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"2","issue":"3","first_page":"809","last_page":"839"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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/T12613","display_name":"X-ray Diffraction in Crystallography","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11733","display_name":"X-ray Spectroscopy and Fluorescence Analysis","score":0.9882000088691711,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5953340530395508},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.5148364901542664},{"id":"https://openalex.org/keywords/phase-retrieval","display_name":"Phase retrieval","score":0.4841978847980499},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.46228861808776855},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4593387842178345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44304099678993225},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.4105485677719116},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33216485381126404},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.3232816457748413},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.253479540348053},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.1815960705280304},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1814294457435608},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14550825953483582}],"concepts":[{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5953340530395508},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.5148364901542664},{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.4841978847980499},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.46228861808776855},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4593387842178345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44304099678993225},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.4105485677719116},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33216485381126404},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.3232816457748413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.253479540348053},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1815960705280304},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1814294457435608},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14550825953483582},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m132136x","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m132136x","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M132136X","source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"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 Mathematics of Data Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1137/20m132136x","is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m132136x","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M132136X","source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"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 Mathematics of Data Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G1110273883","display_name":null,"funder_award_id":"315460","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G5103908366","display_name":null,"funder_award_id":"2019752","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/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3087754430.pdf","grobid_xml":"https://content.openalex.org/works/W3087754430.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W624093280","https://openalex.org/W1488291192","https://openalex.org/W1591127085","https://openalex.org/W1657394249","https://openalex.org/W1690193285","https://openalex.org/W1960538562","https://openalex.org/W1991101760","https://openalex.org/W2003372231","https://openalex.org/W2007593159","https://openalex.org/W2011973549","https://openalex.org/W2015911499","https://openalex.org/W2017483928","https://openalex.org/W2035033763","https://openalex.org/W2044613770","https://openalex.org/W2052552885","https://openalex.org/W2083420433","https://openalex.org/W2092705071","https://openalex.org/W2101769813","https://openalex.org/W2102019642","https://openalex.org/W2126464183","https://openalex.org/W2136328862","https://openalex.org/W2145080587","https://openalex.org/W2150701585","https://openalex.org/W2156719288","https://openalex.org/W2167850383","https://openalex.org/W2171505904","https://openalex.org/W2283023501","https://openalex.org/W2298042388","https://openalex.org/W2338422556","https://openalex.org/W2542482481","https://openalex.org/W2573857464","https://openalex.org/W2579955770","https://openalex.org/W2617270682","https://openalex.org/W2952019742","https://openalex.org/W2962794317","https://openalex.org/W2962941403","https://openalex.org/W2962999772","https://openalex.org/W2963073572","https://openalex.org/W2963446797","https://openalex.org/W2963465734","https://openalex.org/W2963911769","https://openalex.org/W2964073363","https://openalex.org/W2964110543","https://openalex.org/W2964201439","https://openalex.org/W2979974287","https://openalex.org/W2986119379","https://openalex.org/W2991991567","https://openalex.org/W3008561645","https://openalex.org/W3009153763","https://openalex.org/W3098828419","https://openalex.org/W3098950028","https://openalex.org/W3099555227","https://openalex.org/W3099998641","https://openalex.org/W3100937069","https://openalex.org/W3101627929","https://openalex.org/W3101709264","https://openalex.org/W3101774939","https://openalex.org/W3113425034"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4388258507","https://openalex.org/W2392013855","https://openalex.org/W4318064328","https://openalex.org/W2357926602","https://openalex.org/W2374569605","https://openalex.org/W2386062718","https://openalex.org/W2021614875","https://openalex.org/W2011100284","https://openalex.org/W3004215674"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"24":[17],"February":[18],"2020Accepted:":[19],"14":[20],"July":[21],"2020Published":[22],"online:":[23],"15":[24],"September":[25],"2020Keywordsphase":[26],"retrieval,":[27],"X-ray":[28],"crystallography,":[29],"sparsity,":[30],"symmetry":[31],"groupAMS":[32],"Subject":[33],"Headings94A12,":[34],"15A29,":[35],"15A63,":[36],"13P25Publication":[37],"DataISSN":[38],"(online):":[39],"2577-0187Publisher:":[40],"Society":[41],"for":[42],"Industrial":[43],"and":[44],"Applied":[45],"MathematicsCODEN:":[46],"sjmdaq":[47]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}