{"id":"https://openalex.org/W2910815838","doi":"https://doi.org/10.1109/tit.2022.3174409","title":"Mean Estimation From One-Bit Measurements","display_name":"Mean Estimation From One-Bit Measurements","publication_year":2022,"publication_date":"2022-05-13","ids":{"openalex":"https://openalex.org/W2910815838","doi":"https://doi.org/10.1109/tit.2022.3174409","mag":"2910815838"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3174409","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3174409","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1901.03403","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074838733","display_name":"Alon Kipnis","orcid":"https://orcid.org/0000-0003-3798-8035"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alon Kipnis","raw_affiliation_strings":["School of Computer Science, Reichman University, Herzliya, Israel","School of Computer Science at Reichman University, Herzliya, Israel","Department of Electrical Engineering at Stanford University, Stanford, CA, 94035"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Reichman University, Herzliya, Israel","institution_ids":[]},{"raw_affiliation_string":"School of Computer Science at Reichman University, Herzliya, Israel","institution_ids":[]},{"raw_affiliation_string":"Department of Electrical Engineering at Stanford University, Stanford, CA, 94035","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061331093","display_name":"John C. Duchi","orcid":"https://orcid.org/0000-0003-0045-7185"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John C. Duchi","raw_affiliation_strings":["Department of Statistics and the Department of Electrical Engineering, Stanford University, Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and the Department of Electrical Engineering, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074838733"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":0.5678,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.65971842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"68","issue":"9","first_page":"6276","last_page":"6296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9984999895095825,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/estimator","display_name":"Estimator","score":0.7773312330245972},{"id":"https://openalex.org/keywords/sample-size-determination","display_name":"Sample size determination","score":0.5942767262458801},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5853585600852966},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.47622519731521606},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.4654358923435211},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4503638744354248},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.44071394205093384},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.42687445878982544},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42507097125053406},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4230273365974426},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3554862141609192},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3367505669593811},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.17342305183410645}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7773312330245972},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.5942767262458801},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5853585600852966},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.47622519731521606},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.4654358923435211},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4503638744354248},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.44071394205093384},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.42687445878982544},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42507097125053406},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4230273365974426},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3554862141609192},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3367505669593811},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.17342305183410645},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2022.3174409","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3174409","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1901.03403","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.03403","pdf_url":"https://arxiv.org/pdf/1901.03403","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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1901.03403","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.03403","pdf_url":"https://arxiv.org/pdf/1901.03403","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4187305132","display_name":null,"funder_award_id":"DMS-1418362","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8830337753","display_name":null,"funder_award_id":"DMS-1407813","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/F4320306406","display_name":"Koret Foundation","ror":"https://ror.org/02efnsc68"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W21435260","https://openalex.org/W113562060","https://openalex.org/W219346272","https://openalex.org/W643803686","https://openalex.org/W1460189015","https://openalex.org/W1507943102","https://openalex.org/W1511694993","https://openalex.org/W1535258871","https://openalex.org/W1595172192","https://openalex.org/W1626317705","https://openalex.org/W1776974347","https://openalex.org/W1966650560","https://openalex.org/W2005695907","https://openalex.org/W2021376507","https://openalex.org/W2028333242","https://openalex.org/W2045086034","https://openalex.org/W2057841763","https://openalex.org/W2060659343","https://openalex.org/W2068143054","https://openalex.org/W2074992478","https://openalex.org/W2080037086","https://openalex.org/W2086161653","https://openalex.org/W2087771945","https://openalex.org/W2095812090","https://openalex.org/W2096704225","https://openalex.org/W2097380742","https://openalex.org/W2102931639","https://openalex.org/W2109547112","https://openalex.org/W2112038498","https://openalex.org/W2112905930","https://openalex.org/W2116890432","https://openalex.org/W2122759946","https://openalex.org/W2135589601","https://openalex.org/W2136968358","https://openalex.org/W2143059729","https://openalex.org/W2143219333","https://openalex.org/W2150593711","https://openalex.org/W2156307401","https://openalex.org/W2162576315","https://openalex.org/W2163382065","https://openalex.org/W2172272342","https://openalex.org/W2294622949","https://openalex.org/W2497446532","https://openalex.org/W2526144952","https://openalex.org/W2885907219","https://openalex.org/W2905382656","https://openalex.org/W2912271671","https://openalex.org/W2963422939","https://openalex.org/W2963473808","https://openalex.org/W2963730179","https://openalex.org/W2963881987","https://openalex.org/W2964003909","https://openalex.org/W2964200481","https://openalex.org/W2964322027","https://openalex.org/W2964336134","https://openalex.org/W3000924877","https://openalex.org/W3121701465","https://openalex.org/W3147513489","https://openalex.org/W3215641518","https://openalex.org/W4252207317","https://openalex.org/W4254197176","https://openalex.org/W4288598403","https://openalex.org/W4293508270","https://openalex.org/W4301459447","https://openalex.org/W6608686917","https://openalex.org/W6636483370","https://openalex.org/W6675423521","https://openalex.org/W6684583874","https://openalex.org/W6685123235","https://openalex.org/W6763621396"],"related_works":["https://openalex.org/W3125536267","https://openalex.org/W2274645452","https://openalex.org/W4388813866","https://openalex.org/W1999706086","https://openalex.org/W2521753262","https://openalex.org/W2999104021","https://openalex.org/W4293088233","https://openalex.org/W2850804095","https://openalex.org/W1481656249","https://openalex.org/W2162280767"],"abstract_inverted_index":{"We":[0,31,50,161],"consider":[1,51],"the":[2,6,14,29,33,41,46,104,115,121,126,129,158,167],"problem":[3],"of":[4,8,40,48,73,103,128,146,177],"estimating":[5],"mean":[7,34,123],"a":[9,18,38,55,71,101,136,144,147],"symmetric":[10],"log-concave":[11],"distribution":[12,25],"under":[13],"constraint":[15],"that":[16,114,134,172],"only":[17,143],"single":[19],"bit":[20,99,141],"per":[21],"sample":[22,42,72,122],"from":[23],"this":[24],"is":[26,86,100,124,142,179],"available":[27],"to":[28,120,181],"estimator.":[30],"study":[32],"squared":[35],"error":[36],"as":[37],"function":[39,102,145],"size":[43,74],"(and":[44],"hence":[45],"number":[47],"bits).":[49],"three":[52],"settings:":[53],"first,":[54],"centralized":[56],"setting,":[57],"where":[58,111,139],"an":[59,93],"encoder":[60],"may":[61],"release":[62],"<inline-formula":[63,75],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[64,76,174],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[65,77],"<tex-math":[66,78],"notation=\"LaTeX\">$n$":[67,79],"</tex-math></inline-formula>":[68,80],"bits":[69],"given":[70],",":[81],"and":[82,107],"for":[83,90],"which":[84,97],"there":[85],"no":[87,150],"asymptotic":[88],"penalty":[89],"quantization;":[91],"second,":[92],"adaptive":[94,168],"setting":[95,138,169],"in":[96,135,166],"each":[98,140],"current":[105],"observation":[106],"previously":[108],"recorded":[109],"bits,":[110],"we":[112,132],"show":[113,133],"optimal":[116,154,183],"relative":[117],"efficiency":[118,127,155],"compared":[119],"precisely":[125],"median;":[130],"lastly,":[131],"distributed":[137],"local":[148],"sample,":[149],"estimator":[151],"can":[152],"achieve":[153,182],"uniformly":[156],"over":[157],"parameter":[159],"space.":[160],"additionally":[162],"complement":[163],"our":[164],"results":[165],"by":[170],"showing":[171],"<italic":[173],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">one</i>":[175],"round":[176],"adaptivity":[178],"sufficient":[180],"mean-square":[184],"error.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
