{"id":"https://openalex.org/W4289655076","doi":"https://doi.org/10.1109/isit50566.2022.9834855","title":"The Entropic Central Limit Theorem for Discrete Random Variables","display_name":"The Entropic Central Limit Theorem for Discrete Random Variables","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655076","doi":"https://doi.org/10.1109/isit50566.2022.9834855"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834855","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 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/A5050641868","display_name":"Lampros Gavalakis","orcid":"https://orcid.org/0000-0003-3011-9435"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Lampros Gavalakis","raw_affiliation_strings":["University of Cambridge"],"affiliations":[{"raw_affiliation_string":"University of Cambridge","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044225058","display_name":"Ioannis Kontoyiannis","orcid":"https://orcid.org/0000-0001-7242-6375"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ioannis Kontoyiannis","raw_affiliation_strings":["University of Cambridge"],"affiliations":[{"raw_affiliation_string":"University of Cambridge","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050641868"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":0.5823,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.57830189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"708","last_page":"713"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9753000140190125,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9753000140190125,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9728000164031982,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9661999940872192,"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/central-limit-theorem","display_name":"Central limit theorem","score":0.8140558004379272},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.8122190237045288},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7391183376312256},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5871737599372864},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.560642421245575},{"id":"https://openalex.org/keywords/convergence-of-random-variables","display_name":"Convergence of random variables","score":0.532873809337616},{"id":"https://openalex.org/keywords/illustration-of-the-central-limit-theorem","display_name":"Illustration of the central limit theorem","score":0.5155805945396423},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.48627984523773193},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.48170024156570435},{"id":"https://openalex.org/keywords/sum-of-normally-distributed-random-variables","display_name":"Sum of normally distributed random variables","score":0.42947494983673096},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.42344382405281067},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.42114073038101196},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41535964608192444},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39229273796081543},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.384397953748703},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2761017084121704},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13574424386024475},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1328374445438385},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09660112857818604}],"concepts":[{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.8140558004379272},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.8122190237045288},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7391183376312256},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5871737599372864},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.560642421245575},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.532873809337616},{"id":"https://openalex.org/C165770473","wikidata":"https://www.wikidata.org/wiki/Q6000597","display_name":"Illustration of the central limit theorem","level":5,"score":0.5155805945396423},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.48627984523773193},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.48170024156570435},{"id":"https://openalex.org/C182514268","wikidata":"https://www.wikidata.org/wiki/Q7636889","display_name":"Sum of normally distributed random variables","level":4,"score":0.42947494983673096},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.42344382405281067},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.42114073038101196},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41535964608192444},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39229273796081543},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.384397953748703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2761017084121704},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13574424386024475},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1328374445438385},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09660112857818604},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834855","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W194569547","https://openalex.org/W1506910446","https://openalex.org/W1544500240","https://openalex.org/W1551558821","https://openalex.org/W1556911442","https://openalex.org/W1973429478","https://openalex.org/W1973991661","https://openalex.org/W1980089149","https://openalex.org/W1995875735","https://openalex.org/W2018762986","https://openalex.org/W2035364928","https://openalex.org/W2043371182","https://openalex.org/W2056076447","https://openalex.org/W2057339196","https://openalex.org/W2072884346","https://openalex.org/W2104072072","https://openalex.org/W2105081412","https://openalex.org/W2107271148","https://openalex.org/W2118830875","https://openalex.org/W2123704833","https://openalex.org/W2130334134","https://openalex.org/W2135057628","https://openalex.org/W2137226437","https://openalex.org/W2137601763","https://openalex.org/W2146094904","https://openalex.org/W2171750587","https://openalex.org/W2217094038","https://openalex.org/W2951783141","https://openalex.org/W3103598778","https://openalex.org/W3166779482","https://openalex.org/W3172580395","https://openalex.org/W4205235378","https://openalex.org/W6607858468","https://openalex.org/W6781336095","https://openalex.org/W6790059173","https://openalex.org/W6797344364"],"related_works":["https://openalex.org/W1908930887","https://openalex.org/W80741332","https://openalex.org/W3087792333","https://openalex.org/W4285080941","https://openalex.org/W1969020126","https://openalex.org/W3154620714","https://openalex.org/W2901699755","https://openalex.org/W2798819106","https://openalex.org/W4289655076","https://openalex.org/W2949755951"],"abstract_inverted_index":{"An":[0],"information-theoretic":[1,18],"proof":[2],"of":[3,7,25,33],"a":[4],"strengthened":[5],"version":[6],"the":[8,26,30],"classical":[9],"discrete":[10],"central":[11],"limit":[12],"theorem":[13],"is":[14,47],"presented.":[15],"Using":[16],"only":[17],"and":[19,36,42],"elementary":[20],"arguments,":[21],"convergence":[22],"to":[23],"zero":[24],"relative":[27],"entropy":[28],"between":[29],"standardised":[31],"sum":[32],"n":[34],"independent":[35],"identically":[37],"distributed":[38],"lattice":[39],"random":[40],"variables":[41],"an":[43],"appropriately":[44],"discretised":[45],"Gaussian":[46],"established.":[48]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-28T23:10:37.245301","created_date":"2025-10-10T00:00:00"}
