{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T21:04:54Z","timestamp":1774991094528,"version":"3.50.1"},"reference-count":32,"publisher":"IEEE","license":[{"start":{"date-parts":[[2016,7,1]],"date-time":"2016-07-01T00:00:00Z","timestamp":1467331200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2016,7,1]],"date-time":"2016-07-01T00:00:00Z","timestamp":1467331200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,7]]},"DOI":"10.1109\/isit.2016.7541459","type":"proceedings-article","created":{"date-parts":[[2016,8,15]],"date-time":"2016-08-15T18:52:57Z","timestamp":1471287177000},"page":"1048-1052","source":"Crossref","is-referenced-by-count":17,"title":["Brascamp-Lieb inequality and its reverse: An information theoretic view"],"prefix":"10.1109","author":[{"given":"Jingbo","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Princeton University, United States"}]},{"given":"Thomas A.","family":"Courtade","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, United States"}]},{"given":"Paul","family":"Cuff","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Princeton University, United States"}]},{"given":"Sergio","family":"Verd\u00fa","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Princeton University, United States"}]}],"member":"263","reference":[{"key":"ref32","doi-asserted-by":"crossref","first-page":"984","DOI":"10.1109\/TIT.2015.2507602","article-title":"Key capacity for product sources with application to stationary Gaussian processes","volume":"62","author":"liu","year":"2016","journal-title":"IEEE Transactions on Information Theory"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176996454"},{"key":"ref30","article-title":"Wyner's common information: Generalizations and a new lossy source coding interpretation","author":"xu","year":"2013","journal-title":"arXiv preprint arXiv 1301 2237"},{"key":"ref10","article-title":"Communication lower bounds for statistical estimation problems via a distributed data processing inequality","author":"braverman","year":"2015","journal-title":"arXiv preprint arXiv 1506 01070"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2010.171.295"},{"key":"ref12","first-page":"429","article-title":"Local privacy and statistical minimax rates","author":"john","year":"2013","journal-title":"IEEE 54th Annual Symposium on Foundations of Computer Science(FOCS)"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2304457"},{"key":"ref14","article-title":"An extremal inequality related to hypercontractivity of Gaussian random variables","author":"nair","year":"0"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s000390050054"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s002220050267"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2015.7447063"},{"key":"ref18","article-title":"Tensorization: information theory and hypercontractivity","author":"nair","year":"2015","journal-title":"presented at Bombay Information Theory Seminar 2016"},{"key":"ref19","article-title":"Information theoretic perspectives on Brascamp-Lieb inequality and its reverse","author":"liu","year":"0","journal-title":"DRAFT"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(86)90019-1"},{"key":"ref4","article-title":"Smoothing Brascamp-Lieb inequalities and strong converses for CR generation","author":"liu","year":"2016","journal-title":"Proc IEEE Internation Symp Information Theory"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1949-09320-5"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s00039-007-0619-6"},{"key":"ref6","article-title":"A note on the strong data-processing inequalities in Bayesian networks","author":"polyanskiy","year":"0"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2014.7028531"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620288"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2015.7282881"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2015.7282547"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01233426"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2014.27"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(76)90184-5"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s00039-009-0001-y"},{"key":"ref22","article-title":"Equivalent formulations of hypercontractivity using information measures","author":"nair","year":"2014","journal-title":"International Zurich Seminar"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176995937"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2464378"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/130939730"},{"key":"ref26","article-title":"On maximal correlation, hypercontractivity, and the data processing inequality studied by Erkip and Cover","author":"anantharam","year":"0"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511921889"}],"event":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","location":"Barcelona, Spain","start":{"date-parts":[[2016,7,10]]},"end":{"date-parts":[[2016,7,15]]}},"container-title":["2016 IEEE International Symposium on Information Theory (ISIT)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/7532279\/7541040\/07541459.pdf?arnumber=7541459","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T19:53:20Z","timestamp":1774986800000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/7541459\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7]]},"references-count":32,"URL":"https:\/\/doi.org\/10.1109\/isit.2016.7541459","relation":{},"subject":[],"published":{"date-parts":[[2016,7]]}}}