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

10/14/2022

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by   Kashti S. Umare, et al.

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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 (√(DL)), an important property of a metric, along with alternative proofs for two additional properties.