{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T20:46:18Z","timestamp":1773261978552,"version":"3.50.1"},"reference-count":49,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100000001","name":"NSF","doi-asserted-by":"publisher","award":["CNS-1527846"],"award-info":[{"award-number":["CNS-1527846"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"NSF","doi-asserted-by":"publisher","award":["CCF-1618145"],"award-info":[{"award-number":["CCF-1618145"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"NSF","doi-asserted-by":"publisher","award":["CCF-1901004"],"award-info":[{"award-number":["CCF-1901004"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"NSF","doi-asserted-by":"publisher","award":["CIF-2007965"],"award-info":[{"award-number":["CIF-2007965"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"NSF Science and Technology Center","doi-asserted-by":"publisher","award":["CCF-0939370"],"award-info":[{"award-number":["CCF-0939370"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100004439","name":"William and Flora Hewlett Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100004439","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Center for Long Term Cybersecurity at Berkeley"},{"DOI":"10.13039\/100000001","name":"NSF","doi-asserted-by":"publisher","award":["CCF-1841190"],"award-info":[{"award-number":["CCF-1841190"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"NSF","doi-asserted-by":"publisher","award":["CCF-1907786"],"award-info":[{"award-number":["CCF-1907786"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002920","name":"General Research Fund","doi-asserted-by":"publisher","award":["14303714"],"award-info":[{"award-number":["14303714"]}],"id":[{"id":"10.13039\/501100002920","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002920","name":"General Research Fund","doi-asserted-by":"publisher","award":["14231916"],"award-info":[{"award-number":["14231916"]}],"id":[{"id":"10.13039\/501100002920","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002920","name":"General Research Fund","doi-asserted-by":"publisher","award":["14206518"],"award-info":[{"award-number":["14206518"]}],"id":[{"id":"10.13039\/501100002920","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004853","name":"Discretionary Fund of the Vice Chancellor of The Chinese University of Hong Kong","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004853","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2022,12]]},"DOI":"10.1109\/tit.2022.3192913","type":"journal-article","created":{"date-parts":[[2022,7,21]],"date-time":"2022-07-21T19:35:37Z","timestamp":1658432137000},"page":"7665-7684","source":"Crossref","is-referenced-by-count":12,"title":["Unifying the Brascamp-Lieb Inequality and the Entropy Power Inequality"],"prefix":"10.1109","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6214-7927","authenticated-orcid":false,"given":"Venkat","family":"Anantharam","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4159-0900","authenticated-orcid":false,"given":"Varun","family":"Jog","sequence":"additional","affiliation":[{"name":"Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, U.K."}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2745-5614","authenticated-orcid":false,"given":"Chandra","family":"Nair","sequence":"additional","affiliation":[{"name":"Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3128136"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT45174.2021.9518133"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2016.7541457"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176995937"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.3390\/e20030182"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2017.8006890"},{"key":"ref37","article-title":"Genie-based outer bounds for interference channels","author":"liu","year":"2016"},{"key":"ref36","first-page":"1","article-title":"An extremal inequality related to hypercontractivity of Gaussian random variables","author":"nair","year":"2014","journal-title":"Proc Inf Theory Appl Workshop"},{"key":"ref35","article-title":"On geodesically convex formulations for the Brascamp&#x2013;Lieb constant","author":"vishnoi","year":"2018","journal-title":"arXiv 1804 04051"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(79)90179-4"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2527790"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2014.7028531"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/ITW.2016.7606792"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1965.1053768"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.3390\/e20060418"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s11856-008-1067-1"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s002220050267"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s000390050054"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2304457"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(91)90155-X"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-55925-9_47"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-55925-9_30"},{"key":"ref11","first-page":"254","article-title":"A generalization of information theoretic inequalities to linear transformations of independent vector","author":"zamir","year":"1993","journal-title":"Proc 6th Joint Swedish-Russian Int Workshop Inf Theory"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177704579"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(76)90184-5"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s00039-007-0619-6"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-02-00941-2"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/BF02922101"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s00039-009-0001-y"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2006.04.003"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-10-10304-9"},{"key":"ref19","author":"nair","year":"2014","journal-title":"Equivalent formulations of hypercontractivity using information measures International Zurich Seminar on Communications (IZS)"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/18.259666"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1985.1057105"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-7005-6_7"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2779745"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(59)90348-1"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2562630"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1975.1055416"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2090193"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-04-00459-X"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/s12220-020-00398-y"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2854545"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.899484"},{"key":"ref42","article-title":"Bijdrage tot de theorie der convexe puntverzamelingen","author":"bunt","year":"1934"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3163647"},{"key":"ref44","article-title":"Transportation proof of an inequality by Anantharam, Jog and Nair","author":"courtade","year":"2019","journal-title":"arXiv 1901 10893"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2676093"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/18\/9961124\/9834952-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/9961124\/09834952.pdf?arnumber=9834952","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,12]],"date-time":"2022-12-12T19:11:41Z","timestamp":1670872301000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9834952\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12]]},"references-count":49,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tit.2022.3192913","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12]]}}}