日本フィジカルAI新聞

世界のフィジカルAIを、日本語で。

週刊ニュースレター購読
arXiv:0904.1907

Average Entropy Functions

Average Entropy Functions

シェア:XThreadsFacebookLINEはてブBluesky

著者: Qi Chen, Chen He, Lingge Jiang, Qingchuan Wang

分類: cs.IT, cs.RO, math.IT

原文アブストラクト

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