{"id":"https://openalex.org/W2805594262","doi":"https://doi.org/10.3390/e21050478","title":"Distributed Hypothesis Testing with Privacy Constraints","display_name":"Distributed Hypothesis Testing with Privacy Constraints","publication_year":2019,"publication_date":"2019-05-07","ids":{"openalex":"https://openalex.org/W2805594262","doi":"https://doi.org/10.3390/e21050478","mag":"2805594262","pmid":"https://pubmed.ncbi.nlm.nih.gov/33267192"},"language":"en","primary_location":{"id":"doi:10.3390/e21050478","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21050478","pdf_url":"https://www.mdpi.com/1099-4300/21/5/478/pdf?version=1557814030","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/21/5/478/pdf?version=1557814030","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Atefeh Gilani","orcid":null},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Atefeh Gilani","raw_affiliation_strings":["Department of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran 14171614418, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran 14171614418, Iran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Selma Belhadj Amor","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Selma Belhadj Amor","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Sadaf Salehkalaibar","orcid":null},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Sadaf Salehkalaibar","raw_affiliation_strings":["Department of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran 14171614418, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran 14171614418, Iran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"last","author":{"id":null,"display_name":"Vincent Y. F. Tan","orcid":"https://orcid.org/0000-0002-5008-4527"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Vincent Y. F. Tan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-5008-4527","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I23946033"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.8581,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.8645379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"5","first_page":"478","last_page":"478"},"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":0.6984999775886536,"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":0.6984999775886536,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.1559000015258789,"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":0.07429999858140945,"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/converse","display_name":"Converse","score":0.7767000198364258},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.6241999864578247},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5390999913215637},{"id":"https://openalex.org/keywords/null-hypothesis","display_name":"Null hypothesis","score":0.5055999755859375},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.498199999332428},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.47780001163482666},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.4643000066280365},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4422000050544739},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4124999940395355}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.7767000198364258},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.6241999864578247},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5390999913215637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.527899980545044},{"id":"https://openalex.org/C191988596","wikidata":"https://www.wikidata.org/wiki/Q628374","display_name":"Null hypothesis","level":2,"score":0.5055999755859375},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.498199999332428},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.47780001163482666},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.4643000066280365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44359999895095825},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4422000050544739},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4124999940395355},{"id":"https://openalex.org/C120577422","wikidata":"https://www.wikidata.org/wiki/Q843558","display_name":"Alternative hypothesis","level":3,"score":0.40230000019073486},{"id":"https://openalex.org/C120639","wikidata":"https://www.wikidata.org/wiki/Q7068958","display_name":"Null distribution","level":4,"score":0.3894999921321869},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.3856000006198883},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3653999865055084},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36320000886917114},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3458000123500824},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.32989999651908875},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C3716254","wikidata":"https://www.wikidata.org/wiki/Q83966","display_name":"Communication theory","level":2,"score":0.3154999911785126},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.3125999867916107},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29249998927116394},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.26820001006126404},{"id":"https://openalex.org/C9483764","wikidata":"https://www.wikidata.org/wiki/Q585740","display_name":"Likelihood-ratio test","level":2,"score":0.26100000739097595},{"id":"https://openalex.org/C123842658","wikidata":"https://www.wikidata.org/wiki/Q2918980","display_name":"Property testing","level":2,"score":0.25999999046325684}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/e21050478","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21050478","pdf_url":"https://www.mdpi.com/1099-4300/21/5/478/pdf?version=1557814030","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33267192","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33267192","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:arXiv.org:1806.02015","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1806.02015","pdf_url":"https://arxiv.org/pdf/1806.02015","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"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/210778","is_oa":true,"landing_page_url":"https://scholarbank.nus.edu.sg/handle/10635/210778","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus OA2019","raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:c78e904cecf547a48de6cbd2228ca527","is_oa":true,"landing_page_url":"https://doaj.org/article/c78e904cecf547a48de6cbd2228ca527","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 21, Iss 5, p 478 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/5/478/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e21050478","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 21; Issue 5; Pages: 478","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7514967","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7514967","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e21050478","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21050478","pdf_url":"https://www.mdpi.com/1099-4300/21/5/478/pdf?version=1557814030","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320698","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2805594262.pdf","grobid_xml":"https://content.openalex.org/works/W2805594262.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1557833142","https://openalex.org/W1648660600","https://openalex.org/W1974086310","https://openalex.org/W1989065278","https://openalex.org/W1990844093","https://openalex.org/W1994846830","https://openalex.org/W2021547642","https://openalex.org/W2039030058","https://openalex.org/W2042451119","https://openalex.org/W2074006684","https://openalex.org/W2074503439","https://openalex.org/W2077145963","https://openalex.org/W2085618145","https://openalex.org/W2130099852","https://openalex.org/W2136288990","https://openalex.org/W2154752110","https://openalex.org/W2478708596","https://openalex.org/W2583220279","https://openalex.org/W2744172881","https://openalex.org/W2758026859","https://openalex.org/W2769131234","https://openalex.org/W2792664856","https://openalex.org/W2896609429","https://openalex.org/W2898328340","https://openalex.org/W2911030528","https://openalex.org/W2963446403","https://openalex.org/W2963609360","https://openalex.org/W2964209319","https://openalex.org/W3140053156","https://openalex.org/W4288345394","https://openalex.org/W4300840296","https://openalex.org/W6674829165","https://openalex.org/W6682222663","https://openalex.org/W6758947373"],"related_works":[],"abstract_inverted_index":{"We":[0,35,78],"revisit":[1],"the":[2,14,21,25,41,45,53,70,86,100,103,107,110,113,116,123,132,150,153,159],"distributed":[3],"hypothesis":[4,7,74,105],"testing":[5,8,119],"(or":[6],"with":[9,59,169],"communication":[10,154],"constraints)":[11],"problem":[12],"from":[13,139],"viewpoint":[15],"of":[16,19,33,93,109,112],"privacy.":[17],"Instead":[18],"observing":[20],"raw":[22,46],"data":[23],"directly,":[24],"transmitter":[26],"observes":[27],"a":[28,66,81,170,173],"sanitized":[29],"or":[30,72],"randomized":[31,48],"version":[32],"it.":[34],"impose":[36],"an":[37,90,146],"upper":[38],"bound":[39,84],"on":[40,68,85],"mutual":[42],"information":[43,141],"between":[44],"and":[47,158,172],"data.":[49],"Under":[50],"this":[51],"scenario,":[52],"receiver,":[54],"which":[55],"is":[56,62,75,106,125,156,162],"also":[57,144],"provided":[58],"side":[60],"information,":[61],"required":[63],"to":[64],"make":[65],"decision":[67],"whether":[69],"null":[71,117],"alternative":[73,104],"in":[76],"effect.":[77],"first":[79],"provide":[80,145],"general":[82],"lower":[83],"type-II":[87],"exponent":[88,124,151],"for":[89,149],"arbitrary":[91],"pair":[92],"hypotheses.":[94],"Next,":[95],"we":[96,129,143,165],"show":[97,130],"that":[98,131],"if":[99],"distribution":[101,114],"under":[102,115],"product":[108],"marginals":[111],"(i.e.,":[118],"against":[120],"independence),":[121],"then":[122],"known":[126],"exactly.":[127],"Moreover,":[128],"strong":[133],"converse":[134],"property":[135],"holds.":[136],"Using":[137],"ideas":[138],"Euclidean":[140],"theory,":[142],"approximate":[147],"expression":[148],"when":[152],"rate":[155],"low":[157],"privacy":[160],"level":[161],"high.":[163],"Finally,":[164],"illustrate":[166],"our":[167],"results":[168],"binary":[171],"Gaussian":[174],"example.":[175]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2018-06-13T00:00:00"}