{"id":"https://openalex.org/W2518435680","doi":"https://doi.org/10.1109/isit.2016.7541556","title":"Remaining uncertainties and exponents under R\u00e9nyi information measures","display_name":"Remaining uncertainties and exponents under R\u00e9nyi information measures","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2518435680","doi":"https://doi.org/10.1109/isit.2016.7541556","mag":"2518435680"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541556","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541556","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/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"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Masahito Hayashi","raw_affiliation_strings":["Graduate School of Mathematics, Nagoya University, CQT, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Nagoya University, CQT, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058345431","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","[Dept of Electrical and Computer Engineering, National University of Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Dept of Electrical and Computer Engineering, National University of Singapore, Singapore]","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024634142"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":0.5593,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71546335,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1536","last_page":"1540"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.885949969291687},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.7501084208488464},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6227219104766846},{"id":"https://openalex.org/keywords/converse-theorem","display_name":"Converse theorem","score":0.5753128528594971},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5402230024337769},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4952036440372467},{"id":"https://openalex.org/keywords/shannons-source-coding-theorem","display_name":"Shannon's source coding theorem","score":0.4931623339653015},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.49267083406448364},{"id":"https://openalex.org/keywords/r\u00e9nyi-entropy","display_name":"R\u00e9nyi entropy","score":0.4802444279193878},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.47673118114471436},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.346457302570343},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.33482518792152405},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19598469138145447},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17567488551139832},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.12468767166137695},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09090891480445862},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.07483935356140137},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.06405559182167053}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.885949969291687},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.7501084208488464},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6227219104766846},{"id":"https://openalex.org/C204591131","wikidata":"https://www.wikidata.org/wiki/Q5166461","display_name":"Converse theorem","level":3,"score":0.5753128528594971},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5402230024337769},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4952036440372467},{"id":"https://openalex.org/C177409962","wikidata":"https://www.wikidata.org/wiki/Q2411312","display_name":"Shannon's source coding theorem","level":5,"score":0.4931623339653015},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.49267083406448364},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.4802444279193878},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.47673118114471436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.346457302570343},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.33482518792152405},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19598469138145447},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17567488551139832},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.12468767166137695},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09090891480445862},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.07483935356140137},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.06405559182167053},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C132817261","wikidata":"https://www.wikidata.org/wiki/Q1134435","display_name":"Automorphic form","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2016.7541556","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541556","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1549664537","https://openalex.org/W1604817450","https://openalex.org/W1955330666","https://openalex.org/W2043769961","https://openalex.org/W2059120410","https://openalex.org/W2062843442","https://openalex.org/W2099213070","https://openalex.org/W2155676967","https://openalex.org/W2199707703","https://openalex.org/W2254512934","https://openalex.org/W2597388719","https://openalex.org/W2611093107","https://openalex.org/W2964007073","https://openalex.org/W3101381962","https://openalex.org/W4301258660","https://openalex.org/W4302366875"],"related_works":["https://openalex.org/W3114186922","https://openalex.org/W1487340131","https://openalex.org/W1545685255","https://openalex.org/W4230340119","https://openalex.org/W2883631711","https://openalex.org/W1581042959","https://openalex.org/W3039648158","https://openalex.org/W2147597887","https://openalex.org/W2964265063","https://openalex.org/W1796110375"],"abstract_inverted_index":{"We":[0,42],"study":[1],"the":[2,5,25,38,51,56],"asymptotics":[3],"of":[4,8,15,23,37,50,59],"remaining":[6,26],"uncertainty":[7,27],"a":[9,12],"source":[10,61],"when":[11],"compressed":[13],"version":[14],"it":[16],"and":[17,55],"correlated":[18],"side-information":[19],"is":[20],"observed.":[21],"Instead":[22],"measuring":[24],"using":[28,34],"Shannon":[29],"measures,":[30],"we":[31],"do":[32],"so":[33],"two":[35],"forms":[36],"conditional":[39],"R\u00e9nyi":[40],"entropy.":[41],"show":[43],"that":[44],"these":[45],"asymptotic":[46],"results":[47],"are":[48],"generalizations":[49],"strong":[52],"converse":[53],"exponent":[54,58],"error":[57],"Slepian-Wolf":[60],"coding.":[62]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}