Conference Proceeding

Average entropy functions

Dept. of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China
08/2009; DOI:10.1109/ISIT.2009.5205939 pp.2632 - 2633 In proceeding of: Information Theory, 2009. ISIT 2009. IEEE International Symposium on
Source: IEEE Xplore

ABSTRACT The closure of the set of entropy functions associated with n discrete variables, ¿¿¿¿¿¿n*, is a convex cone in (2n - 1)-dimensional space, but its full characterization remains an open problem. In this paper, we map ¿¿¿n* to an n-dimensional region ¿¿n* by averaging the joint entropies with the same number of variables, and show that the simpler ¿¿n* can be characterized solely by the Shannon-type information inequalities.

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Keywords

1)-dimensional space
 
convex cone
 
entropy functions
 
full characterization
 
joint entropies
 
n discrete variables
 
n-dimensional region ¿¿<sub>n</sub>*
 
open problem
 
Shannon-type information inequalities