DocumentCode
1780598
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
fYear
2014
fDate
June 29 2014-July 4 2014
Firstpage
3022
Lastpage
3026
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location
Honolulu, HI
Type
conf
DOI
10.1109/ISIT.2014.6875389
Filename
6875389
Link To Document