Logo image
On Triangular Inequality of the Discounted Least Information Theory of Entropy (DLITE)
Preprint   Open access

On Triangular Inequality of the Discounted Least Information Theory of Entropy (DLITE)

Kashti S Umare and Weimao Ke
14 Oct 2022
url
https://doi.org/10.48550/arxiv.2210.08079View
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute Open

Abstract

The Discounted Least Information Theory of Entropy (DLITE) is a new information measure that quantifies the amount of entropic difference between two probability distributions. It manifests multiple critical properties both as an information-theoretic quantity and as metric distance. In the report, we provide a proof of the triangular inequality of DLITE's cube root ($\sqrt[3]{DL}$), an important property of a metric, along with alternative proofs for two additional properties.

Metrics

15 Record Views

Details

Logo image