{"id":"https://openalex.org/W2963787787","doi":"https://doi.org/10.1109/isit.2018.8437784","title":"An Entropy Inequality for Symmetric Random Variables","display_name":"An Entropy Inequality for Symmetric Random Variables","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2963787787","doi":"https://doi.org/10.1109/isit.2018.8437784","mag":"2963787787"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2018.8437784","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437784","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5087248118","display_name":"Jing Hao","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jing Hao","raw_affiliation_strings":["University of Wisconsin, 1415 Engineering Drive Madison, Departments of Mathematics and Electrical &#x0026; Computer Engineering, Madison, WI, 53706","Departments of Mathematics and Electrical & Computer Engineering, University of Wisconsin, Madison, WI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin, 1415 Engineering Drive Madison, Departments of Mathematics and Electrical &#x0026; Computer Engineering, Madison, WI, 53706","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Departments of Mathematics and Electrical & Computer Engineering, University of Wisconsin, Madison, WI","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021502006","display_name":"Varun Jog","orcid":"https://orcid.org/0000-0003-4159-0900"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Varun Jog","raw_affiliation_strings":["University of Wisconsin, 1415 Engineering Drive Madison, Departments of Mathematics and Electrical &#x0026; Computer Engineering, Madison, WI, 53706","Departments of Mathematics and Electrical & Computer Engineering, University of Wisconsin, Madison, WI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin, 1415 Engineering Drive Madison, Departments of Mathematics and Electrical &#x0026; Computer Engineering, Madison, WI, 53706","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Departments of Mathematics and Electrical & Computer Engineering, University of Wisconsin, Madison, WI","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1600","last_page":"1604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9449999928474426,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9244999885559082,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/combinatorics","display_name":"Combinatorics","score":0.5641748905181885},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.548607587814331},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5277950167655945},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5174225568771362},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3942756652832031},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3905813992023468},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19341832399368286},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14246904850006104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09629914164543152}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5641748905181885},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.548607587814331},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5277950167655945},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5174225568771362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3942756652832031},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3905813992023468},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19341832399368286},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14246904850006104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09629914164543152},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2018.8437784","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437784","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 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":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1544500240","https://openalex.org/W1551558821","https://openalex.org/W1968021238","https://openalex.org/W1989833377","https://openalex.org/W1995875735","https://openalex.org/W2002867407","https://openalex.org/W2014739224","https://openalex.org/W2043371182","https://openalex.org/W2048251292","https://openalex.org/W2086878253","https://openalex.org/W2096751391","https://openalex.org/W2101107238","https://openalex.org/W2137226437","https://openalex.org/W2147157881","https://openalex.org/W2165440928","https://openalex.org/W2171750587","https://openalex.org/W2521677112","https://openalex.org/W2553412270","https://openalex.org/W2607262463","https://openalex.org/W2612376998","https://openalex.org/W2783845836","https://openalex.org/W2950206725","https://openalex.org/W2963581439","https://openalex.org/W2963787787","https://openalex.org/W2963952097","https://openalex.org/W3101904822","https://openalex.org/W3105573210","https://openalex.org/W4247407092"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2090715877","https://openalex.org/W2149931498"],"abstract_inverted_index":{"We":[0,57],"establish":[1],"a":[2,30],"lower":[3,35,65],"bound":[4,36,66],"on":[5,139],"the":[6,41,64,129,132,140,143,146],"entropy":[7,43],"of":[8,11,40,44,92,114,131,145],"weighted":[9],"sums":[10],"(possibly":[12],"dependent)":[13],"random":[14,81],"variables":[15],"(X":[16,45,115],"<sub":[17,22,46,51,74,116],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18,23,47,52,75,117],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[19,48,118],",":[20,25,49,54,119],"X":[21,27,50,73,121],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[24,53],"...,":[26,55,120],"n)":[28],"possessing":[29],"symmetric":[31],"joint":[32,42],"distribution.":[33],"Our":[34,123],"is":[37,67],"in":[38,128],"terms":[39],"Xn).":[56],"show":[58],"that":[59],"for":[60,110],"n":[61,84],"\u2265":[62],"3,":[63],"tight":[68],"if":[69,72],"and":[70,135,142],"only":[71],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</sub>":[76],"'S":[77],"are":[78,88],"i.i.d.":[79,96],"Gaussian":[80],"variables.":[82],"For":[83],"=":[85],"2":[86],"there":[87],"numerous":[89],"other":[90],"cases":[91],"equality":[93,133],"apart":[94],"from":[95],"Gaussians,":[97],"which":[98],"we":[99,105],"completely":[100],"characterize.":[101],"Going":[102],"beyond":[103],"sums,":[104],"also":[106],"present":[107],"an":[108],"inequality":[109],"certain":[111],"linear":[112],"transformations":[113],"n.).":[122],"primary":[124],"technical":[125],"contribution":[126],"lies":[127],"analysis":[130],"cases,":[134],"our":[136],"approach":[137],"relies":[138],"geometry":[141],"symmetry":[144],"problem.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
