A Novel Distance Matric: Generalized Relative Entropy
Information Theory
2017-04-24 v1 math.IT
Abstract
Information entropy and its extension, which are important generalization of entropy, have been applied in many research domains today. In this paper, a novel generalized relative entropy is constructed to avoid some defects of traditional relative entropy. We presented the structure of generalized relative entropy after the discussion of defects in relative entropy. Moreover, some properties of the provided generalized relative entropy is presented and proved. The provided generalized relative entropy is proved to have a finite range and is a finite distance metric.
Keywords
Cite
@article{arxiv.1704.06423,
title = {A Novel Distance Matric: Generalized Relative Entropy},
author = {Shuai Liu and Mengye Lu and Gaocheng Liu and Zheng Pan},
journal= {arXiv preprint arXiv:1704.06423},
year = {2017}
}
Comments
7pages