{"id":"https://openalex.org/W2582239835","doi":"https://doi.org/10.1109/isit.2017.8006707","title":"Almost optimal phaseless compressed sensing with sublinear decoding time","display_name":"Almost optimal phaseless compressed sensing with sublinear decoding time","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2582239835","doi":"https://doi.org/10.1109/isit.2017.8006707","mag":"2582239835"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006707","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","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/1701.06437","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054359620","display_name":"Vasileios Nakos","orcid":"https://orcid.org/0000-0003-2703-2750"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vasileios Nakos","raw_affiliation_strings":["Harvard University","Harvard University ,"],"affiliations":[{"raw_affiliation_string":"Harvard University","institution_ids":["https://openalex.org/I2801851002"]},{"raw_affiliation_string":"Harvard University ,","institution_ids":["https://openalex.org/I2801851002"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054359620"],"corresponding_institution_ids":["https://openalex.org/I2801851002"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01064707,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":null,"first_page":"1142","last_page":"1146"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9983999729156494,"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":0.9983999729156494,"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":0.9977999925613403,"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/T11897","display_name":"Digital Holography and Microscopy","score":0.961899995803833,"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/sublinear-function","display_name":"Sublinear function","score":0.9668182730674744},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.818236231803894},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7420933246612549},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6251981258392334},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5735757946968079},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5066593289375305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4894949197769165},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.43504977226257324},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4158620238304138},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40674278140068054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3637230396270752},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15504610538482666}],"concepts":[{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.9668182730674744},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.818236231803894},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7420933246612549},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6251981258392334},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5735757946968079},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5066593289375305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4894949197769165},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.43504977226257324},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4158620238304138},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40674278140068054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3637230396270752},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15504610538482666},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit.2017.8006707","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1701.06437","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.06437","pdf_url":"https://arxiv.org/pdf/1701.06437","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":"doi:10.48550/arxiv.1701.06437","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1701.06437","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"},{"id":"mag:2582239835","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1701.06437","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.06437","pdf_url":"https://arxiv.org/pdf/1701.06437","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":[{"id":"https://openalex.org/G5571313353","display_name":null,"funder_award_id":"IIS-1447471","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7334018336","display_name":"BIGDATA: F: DKA: Randomized methods for high-dimensional data analysis","funder_award_id":"1447471","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2582239835.pdf","grobid_xml":"https://content.openalex.org/works/W2582239835.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W221278985","https://openalex.org/W1484412996","https://openalex.org/W1493892051","https://openalex.org/W1737288045","https://openalex.org/W1923547365","https://openalex.org/W1994521750","https://openalex.org/W2015911499","https://openalex.org/W2020298878","https://openalex.org/W2026317840","https://openalex.org/W2026320244","https://openalex.org/W2027427189","https://openalex.org/W2055191162","https://openalex.org/W2078397124","https://openalex.org/W2091904714","https://openalex.org/W2092759407","https://openalex.org/W2102019642","https://openalex.org/W2105320739","https://openalex.org/W2107625832","https://openalex.org/W2112094394","https://openalex.org/W2117497535","https://openalex.org/W2129131372","https://openalex.org/W2129569662","https://openalex.org/W2142949395","https://openalex.org/W2155309907","https://openalex.org/W2169501582","https://openalex.org/W2219655028","https://openalex.org/W2296616510","https://openalex.org/W2306288190","https://openalex.org/W2339253107","https://openalex.org/W2470746288","https://openalex.org/W2533223407","https://openalex.org/W2543875952","https://openalex.org/W2951840367","https://openalex.org/W2951988467","https://openalex.org/W2962914151","https://openalex.org/W2963358127","https://openalex.org/W2963363435","https://openalex.org/W2963855280","https://openalex.org/W2964105799","https://openalex.org/W3102206315","https://openalex.org/W4250955649","https://openalex.org/W6608805005","https://openalex.org/W6628955290","https://openalex.org/W6629496199","https://openalex.org/W6676124693"],"related_works":["https://openalex.org/W2899883790","https://openalex.org/W3202628225","https://openalex.org/W2760432440","https://openalex.org/W3045868777","https://openalex.org/W2930929096","https://openalex.org/W1835471601","https://openalex.org/W2120383799","https://openalex.org/W1950779386","https://openalex.org/W2902315595","https://openalex.org/W2909661324","https://openalex.org/W1802414251","https://openalex.org/W2736119116","https://openalex.org/W2985929777","https://openalex.org/W2280744451","https://openalex.org/W2266908258","https://openalex.org/W2991693986","https://openalex.org/W2127289128","https://openalex.org/W2890494215","https://openalex.org/W3183932015","https://openalex.org/W2564022051"],"abstract_inverted_index":{"In":[0,59],"the":[1,23,26,65,79,107],"problem":[2,42],"of":[3,25,28,48,67,97,109],"compressive":[4],"phase":[5],"retrieval,":[6],"one":[7],"wants":[8],"to":[9],"recover":[10],"an":[11],"approximately":[12],"k-sparse":[13,123],"signal":[14],"x":[15],"\u03f5":[16,36],"\u2102":[17,37],"<sup":[18,38,127],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[19,31,39,82,87,128],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[20],",":[21,33],"given":[22],"magnitudes":[24],"entries":[27],"\u03c6":[29,35],"<sub":[30,81,86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">x</sub>":[32],"where":[34],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m\u00d7n</sup>":[40],"This":[41],"has":[43],"received":[44],"a":[45,75,115],"fair":[46],"amount":[47],"attention,":[49],"with":[50,90],"sublinear":[51,68],"time":[52],"algorithms":[53,105],"appearing":[54],"in":[55,106,125],"[CBJC14],":[56],"[PLR14],":[57],"[YLPR15].":[58],"this":[60],"paper":[61],"we":[62,113],"further":[63],"investigate":[64],"direction":[66],"decoding":[69],"for":[70],"real":[71,110],"signals":[72],"by":[73],"giving":[74],"recovery":[76],"scheme":[77,119],"under":[78],"\u2113":[80,85],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[83,88],"/":[84],"guarantee,":[89],"almost":[91],"optimal,":[92],"O(k":[93,126],"log":[94],"n),":[95],"number":[96],"measurements.":[98,136],"Our":[99],"result":[100],"outperforms":[101],"all":[102,122],"previous":[103],"sublinear-time":[104],"case":[108],"signals.":[111],"Moreover,":[112],"give":[114],"very":[116],"simple":[117],"deterministic":[118],"that":[120],"recovers":[121],"vectors":[124],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[129],")":[130],"time,":[131],"using":[132],"4k":[133],"-":[134],"1":[135]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
