English

DLITE: The Discounted Least Information Theory of Entropy

Information Theory 2020-02-20 v1 math.IT Statistics Theory Statistics Theory

Abstract

We propose an entropy-based information measure, namely the Discounted Least Information Theory of Entropy (DLITE), which not only exhibits important characteristics expected as an information measure but also satisfies conditions of a metric. Classic information measures such as Shannon Entropy, KL Divergence, and Jessen-Shannon Divergence have manifested some of these properties while missing others. This work fills an important gap in the advancement of information theory and its application, where related properties are desirable.

Keywords

Cite

@article{arxiv.2002.07888,
  title  = {DLITE: The Discounted Least Information Theory of Entropy},
  author = {Weimao Ke},
  journal= {arXiv preprint arXiv:2002.07888},
  year   = {2020}
}

Comments

12 pages, 7 figures