论文标题

部分可观测时空混沌系统的无模型预测

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

论文作者

Umare, Kashti S., Ke, Weimao

论文摘要

折现最小信息熵理论(DLITE)是一种新的信息度量,可量化两个概率分布之间的熵差量。它表现出多种关键特性既是信息理论数量又是度量距离。在报告中,我们提供了Dlite Cube root($ \ sqrt [3] {dl} $)的三角形不平等的证明,这是度量的重要属性,以及其他两个额外属性的证据。

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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