Title
A Correlation Measure Based On Vector-Valued L-P Norms
Abstract
In this paper, a new measure of correlation is introduced. This measure depends on a parameter alpha, and is defined in terms of vector-valued L-p norms. The measure is within a constant of the exponential of alpha-Renyi mutual information, and reduces to the trace norm (total variation distance) for alpha = 1. We provide some properties and applications of this measure of correlation. In particular, we establish a bound on the secrecy exponent of the wiretap channel (under the total variation metric) in terms of the alpha-Renyi mutual information according to Csiszar's proposal.
Year
DOI
Venue
2019
10.1109/ISIT.2019.8849703
2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
DocType
Volume
Issue
Journal
65
12
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Mohammad Mahdi Mojahedian122.08
Salman Beigi25611.43
Amin Gohari314421.81
Mohammad Hossein Yassaee4133.10
Mohammad Reza Aref554790.68