{"id":"https://openalex.org/W2912332216","doi":"https://doi.org/10.1145/3313276.3316332","title":"Communication complexity of estimating correlations","display_name":"Communication complexity of estimating correlations","publication_year":2019,"publication_date":"2019-06-20","ids":{"openalex":"https://openalex.org/W2912332216","doi":"https://doi.org/10.1145/3313276.3316332","mag":"2912332216"},"language":"en","primary_location":{"id":"doi:10.1145/3313276.3316332","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3313276.3316332","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing","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/1901.09100","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031381806","display_name":"Uri Hadar","orcid":"https://orcid.org/0000-0003-4300-5613"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Uri Hadar","raw_affiliation_strings":["Tel Aviv University, Israel","Tel Aviv University *"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University *","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100383868","display_name":"Jingbo Liu","orcid":"https://orcid.org/0000-0001-5637-5264"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jingbo Liu","raw_affiliation_strings":["Massachusetts Institute of Technology, USA","Massachusetts Institute of Technology , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology , USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031031216","display_name":"Yury Polyanskiy","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yury Polyanskiy","raw_affiliation_strings":["Massachusetts Institute of Technology, USA","Massachusetts Institute Of Technology#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute Of Technology#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032708627","display_name":"Ofer Shayevitz","orcid":"https://orcid.org/0000-0003-4321-0318"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ofer Shayevitz","raw_affiliation_strings":["Tel Aviv University, Israel","Tel-Aviv Univ., Israel#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel-Aviv Univ., Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00676427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"792","last_page":"803"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/omega","display_name":"Omega","score":0.7574290633201599},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.685089647769928},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6347124576568604},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.6311863660812378},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6104580163955688},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.5390922427177429},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.495868057012558},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.48670628666877747},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.47882822155952454},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46136823296546936},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.43236225843429565},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.42515814304351807},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18637028336524963},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10873264074325562}],"concepts":[{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.7574290633201599},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.685089647769928},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6347124576568604},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.6311863660812378},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6104580163955688},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.5390922427177429},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.495868057012558},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.48670628666877747},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.47882822155952454},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46136823296546936},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.43236225843429565},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.42515814304351807},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18637028336524963},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10873264074325562},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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":5,"locations":[{"id":"doi:10.1145/3313276.3316332","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3313276.3316332","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1901.09100","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.09100","pdf_url":"https://arxiv.org/pdf/1901.09100","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":"mag:2912332216","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.09100v2","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:dspace.mit.edu:1721.1/137657.2","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/137657.2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv","raw_type":"Article"},{"id":"doi:10.48550/arxiv.1901.09100","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1901.09100","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1901.09100","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.09100","pdf_url":"https://arxiv.org/pdf/1901.09100","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/G1537770138","display_name":"An Information Theory of Simple Interaction","funder_award_id":"639573","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W605043455","https://openalex.org/W786265215","https://openalex.org/W1484600874","https://openalex.org/W1511694993","https://openalex.org/W1585160083","https://openalex.org/W1974086310","https://openalex.org/W1979790324","https://openalex.org/W1985526537","https://openalex.org/W1991681982","https://openalex.org/W2002501531","https://openalex.org/W2003776291","https://openalex.org/W2021376507","https://openalex.org/W2021547642","https://openalex.org/W2027226665","https://openalex.org/W2074493852","https://openalex.org/W2085618145","https://openalex.org/W2107917944","https://openalex.org/W2112905930","https://openalex.org/W2122058331","https://openalex.org/W2122759946","https://openalex.org/W2132822431","https://openalex.org/W2152625085","https://openalex.org/W2162576315","https://openalex.org/W2290247654","https://openalex.org/W2340787257","https://openalex.org/W2465286492","https://openalex.org/W2602685089","https://openalex.org/W2741612923","https://openalex.org/W2886974017","https://openalex.org/W2944857505","https://openalex.org/W2963300987","https://openalex.org/W2963414882","https://openalex.org/W2963422939","https://openalex.org/W2964150111","https://openalex.org/W3215641518","https://openalex.org/W4248270945"],"related_works":["https://openalex.org/W2951396215","https://openalex.org/W2106695582","https://openalex.org/W3104142580","https://openalex.org/W3045507343","https://openalex.org/W2563994828","https://openalex.org/W1984126159","https://openalex.org/W3103169419","https://openalex.org/W2127853119","https://openalex.org/W2964115870","https://openalex.org/W1870267105","https://openalex.org/W2882989878","https://openalex.org/W2101781652","https://openalex.org/W1920077183","https://openalex.org/W2800163243","https://openalex.org/W2802221854","https://openalex.org/W2962882306","https://openalex.org/W3197235085","https://openalex.org/W2951362742","https://openalex.org/W2805017331","https://openalex.org/W2951027593"],"abstract_inverted_index":{"We":[0,45,109],"characterize":[1],"the":[2,6,48,71,92,112,160,164],"communication":[3],"complexity":[4,162],"of":[5,19,43,73,125,163],"following":[7],"distributed":[8],"estimation":[9],"problem.":[10],"Alice":[11],"and":[12,57,142],"Bob":[13,36],"observe":[14],"infinitely":[15],"many":[16],"iid":[17],"copies":[18],"\u03c1-correlated":[20],"unit-variance":[21],"(Gaussian":[22],"or":[23],"\u00b11":[24],"binary)":[25],"random":[26],"variables,":[27],"with":[28,97],"unknown":[29],"\u03c1\u2208[\u22121,1].":[30],"By":[31],"interactively":[32],"exchanging":[33,88],"k":[34,89],"bits,":[35],"wants":[37],"to":[38,120],"produce":[39],"an":[40,155],"estimate":[41],"\u03c1":[42,117],"\u03c1.":[44],"show":[46,170],"that":[47],"best":[49],"possible":[50],"performance":[51,105],"(optimized":[52],"over":[53],"interaction":[54],"protocol":[55,102],"\u03a0":[56],"estimator":[58],"\u03c1)":[59],"satisfies":[60],"inf\u03a0":[61],"\u03c1sup\u03c1E":[62],"[|\u03c1\u2212\u03c1|2]":[63],"=":[64],"k\u22121":[65],"(1/2":[66],"ln2":[67],"+":[68],"o(1)).":[69],"Curiously,":[70],"number":[72],"samples":[74,90],"in":[75,81],"our":[76],"achievability":[77],"scheme":[78,87],"is":[79,106,118],"exponential":[80],"k;":[82],"by":[83],"contrast,":[84],"a":[85,98,128,171],"naive":[86],"achieves":[91],"same":[93],"\u03a9(1/k)":[94,113],"rate":[95],"but":[96],"suboptimal":[99],"prefactor.":[100],"Our":[101,133,151],"achieving":[103],"optimal":[104],"one-way":[107],"(non-interactive).":[108],"also":[110,153],"prove":[111],"bound":[114,158],"even":[115],"when":[116],"restricted":[119],"any":[121],"small":[122],"open":[123],"sub-interval":[124],"[\u22121,1]":[126],"(i.e.":[127],"local":[129],"minimax":[130],"lower":[131,157],"bound).":[132],"proof":[134],"techniques":[135,145],"rely":[136],"on":[137,159],"symmetric":[138],"strong":[139],"data-processing":[140],"inequalities":[141],"various":[143],"tensorization":[144],"from":[146],"information-theoretic":[147,173],"interactive":[148],"common-randomness":[149],"extraction.":[150],"results":[152],"imply":[154],"\u03a9(n)":[156],"information":[161],"Gap-Hamming":[165],"problem,":[166],"for":[167],"which":[168],"we":[169],"direct":[172],"proof.":[174]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
