Title :
On hypercontractivity and a data processing inequality
Author :
Anantharam, Venkat ; Gohari, Amin ; Kamath, Sanmati ; Nair, C.
Author_Institution :
EECS Dept., Univ. of California, Berkeley, Berkeley, CA, USA
fDate :
June 29 2014-July 4 2014
Abstract :
In this paper we provide the correct tight constant to a data-processing inequality claimed by Erkip and Cover. The correct constant turns out to be a particular hypercontractivity parameter of (X,Y), rather than their squared maximal correlation. We also provide alternate geometric characterizations for both maximal correlation as well as the hypercontractivity parameter that characterizes the data-processing inequality.
Keywords :
correlation methods; data handling; probability; data processing inequality; geometric characterizations; hypercontractivity parameter; squared maximal correlation; Correlation; Data processing; Educational institutions; Information theory; Markov processes; Probability distribution; Random variables;
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
DOI :
10.1109/ISIT.2014.6875389
