A short characterization of relative entropy
classification
💻 cs.IT
math-phmath.ITmath.MPmath.STstat.TH
keywords
entropyrelativecharacterizationknownq-logarithmicaxiomaticallybeenbefore
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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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