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Preprint
On Triangular Inequality of the Discounted Least Information Theory of Entropy (DLITE)
14 Oct 2022
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.
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Details
- Title
- On Triangular Inequality of the Discounted Least Information Theory of Entropy (DLITE)
- Creators
- Kashti S UmareWeimao Ke
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Information Science
- Other Identifier
- 991020546595404721