{"id":"https://openalex.org/W2509360458","doi":"https://doi.org/10.1109/isit.2016.7541366","title":"Operational interpretation of R\u00e9nyi conditional mutual information via composite hypothesis testing against Markov distributions","display_name":"Operational interpretation of R\u00e9nyi conditional mutual information via composite hypothesis testing against Markov distributions","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2509360458","doi":"https://doi.org/10.1109/isit.2016.7541366","mag":"2509360458"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541366","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541366","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040644995","display_name":"Marco Tomamichel","orcid":"https://orcid.org/0000-0001-5410-3329"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Marco Tomamichel","raw_affiliation_strings":["School of Physics, The University of Sydney, Australia","School of Physics, The University of Sydney"],"affiliations":[{"raw_affiliation_string":"School of Physics, The University of Sydney, Australia","institution_ids":["https://openalex.org/I129604602"]},{"raw_affiliation_string":"School of Physics, The University of Sydney","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024634142","display_name":"Masahito Hayashi","orcid":"https://orcid.org/0000-0003-3104-1000"},"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"]},{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP","SG"],"is_corresponding":false,"raw_author_name":"Masahito Hayashi","raw_affiliation_strings":["Graduate School of Mathematics, Nagoya University, Japan","Graduate School of Mathematics, National University of Singapore"],"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Nagoya University, Japan","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"Graduate School of Mathematics, National University of Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040644995"],"corresponding_institution_ids":["https://openalex.org/I129604602"],"apc_list":null,"apc_paid":null,"fwci":0.3718,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66013865,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"585","last_page":"589"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.998199999332428,"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":0.998199999332428,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9980000257492065,"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/T10136","display_name":"Statistical Methods and Inference","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.6949782967567444},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6068709492683411},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5567408800125122},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5307163000106812},{"id":"https://openalex.org/keywords/conditional-mutual-information","display_name":"Conditional mutual information","score":0.49553000926971436},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.4529215395450592},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.4374580681324005},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.4138088524341583},{"id":"https://openalex.org/keywords/conditional-independence","display_name":"Conditional independence","score":0.4124978184700012},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.41242802143096924},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35519829392433167},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33560365438461304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3319767713546753},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3280022442340851},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32577815651893616},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.27443474531173706},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.255138635635376}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.6949782967567444},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6068709492683411},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5567408800125122},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5307163000106812},{"id":"https://openalex.org/C124805900","wikidata":"https://www.wikidata.org/wiki/Q5159269","display_name":"Conditional mutual information","level":3,"score":0.49553000926971436},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.4529215395450592},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.4374580681324005},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.4138088524341583},{"id":"https://openalex.org/C79772020","wikidata":"https://www.wikidata.org/wiki/Q5159264","display_name":"Conditional independence","level":2,"score":0.4124978184700012},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.41242802143096924},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35519829392433167},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33560365438461304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3319767713546753},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3280022442340851},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32577815651893616},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.27443474531173706},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.255138635635376},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2016.7541366","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541366","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:opus.lib.uts.edu.au:10453/120314","is_oa":false,"landing_page_url":"http://hdl.handle.net/10453/120314","pdf_url":null,"source":{"id":"https://openalex.org/S4306401357","display_name":"UTS ePRESS (University of Technology Sydney)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114017466","host_organization_name":"University of Technology Sydney","host_organization_lineage":["https://openalex.org/I114017466"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Proceeding"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W79265410","https://openalex.org/W148564650","https://openalex.org/W1976493872","https://openalex.org/W1991315500","https://openalex.org/W1999805402","https://openalex.org/W2026653933","https://openalex.org/W2051258594","https://openalex.org/W2055055260","https://openalex.org/W2059120410","https://openalex.org/W2103641619","https://openalex.org/W2134619286","https://openalex.org/W2166827316","https://openalex.org/W2258483871","https://openalex.org/W2342752031","https://openalex.org/W2763740675","https://openalex.org/W2964335488","https://openalex.org/W3009870883","https://openalex.org/W4246098931","https://openalex.org/W4251984466","https://openalex.org/W4301258660","https://openalex.org/W6606084189","https://openalex.org/W6692269756","https://openalex.org/W6834225493"],"related_works":["https://openalex.org/W4205619203","https://openalex.org/W3135541457","https://openalex.org/W4313429060","https://openalex.org/W3164528651","https://openalex.org/W2044289181","https://openalex.org/W181490901","https://openalex.org/W2337819340","https://openalex.org/W3024538535","https://openalex.org/W3089673743","https://openalex.org/W3022655582"],"abstract_inverted_index":{"We":[0,14,62],"revisit":[1],"the":[2,24,36,39,50,53,60,78,87,93,99],"problem":[3],"of":[4,70,82],"asymmetric":[5],"binary":[6],"hypothesis":[7,26,80],"testing":[8],"against":[9],"a":[10,16],"composite":[11],"alternative":[12,25,79],"hypothesis.":[13],"introduce":[15],"general":[17],"framework":[18],"to":[19,28,66],"treat":[20],"such":[21],"problems":[22],"when":[23],"adheres":[27],"certain":[29,83],"axioms.":[30],"In":[31,74],"this":[32],"case":[33,77],"we":[34,90],"find":[35,67,91],"threshold":[37],"rate,":[38],"optimal":[40,94],"error":[41],"and":[42,52],"strong":[43],"converse":[44],"exponents":[45,95],"(at":[46,56],"large":[47],"deviations":[48,58],"from":[49,59],"threshold)":[51],"second-order":[54],"asymptotics":[55],"small":[57],"threshold).":[61],"apply":[63],"our":[64],"results":[65],"operational":[68],"interpretations":[69],"R\u00e9nyi":[71,100],"information":[72],"measures.":[73],"particular,":[75],"in":[76],"consists":[81],"tripartite":[84],"distributions":[85],"satisfying":[86],"Markov":[88],"property,":[89],"that":[92],"are":[96],"determined":[97],"by":[98],"conditional":[101],"mutual":[102],"information.":[103]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}