Average Entropy Functions
Information Theory
2009-04-14 v1 Robotics
math.IT
Abstract
The closure of the set of entropy functions associated with n discrete variables, Gammar*n, is a convex cone in (2n-1)- dimensional space, but its full characterization remains an open problem. In this paper, we map Gammar*n to an n-dimensional region Phi*n by averaging the joint entropies with the same number of variables, and show that the simpler Phi*n can be characterized solely by the Shannon-type information inequalities
Keywords
Cite
@article{arxiv.0904.1907,
title = {Average Entropy Functions},
author = {Qi Chen and Chen He and Lingge Jiang and Qingchuan Wang},
journal= {arXiv preprint arXiv:0904.1907},
year = {2009}
}
Comments
accepted by ISIT2009