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arXiv · 1712.04903

A short characterization of relative entropy

Tom Leinster
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Abstract

We prove characterization theorems for relative entropy (also known as Kullback-Leibler divergence), q-logarithmic entropy (also known as Tsallis entropy), and q-logarithmic relative entropy. All three have been characterized axiomatically before, but we show that earlier proofs can be simplified considerably, at the same time relaxing some of the hypotheses.

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Tom Leinster. 2017-12-13. A short characterization of relative entropy. https://arxiv.org/abs/1712.04903

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