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Abstract: A generalized Kullback-Leibler relative entropy is introduced starting withthe symmetric Jackson derivative of the generalized overlap between twoprobability distributions.
The generalization retains much of the structurepossessed by the original formulation.
We present the fundamental propertiesincluding positivity, metricity, concavity, bounds and stability.
In addition,a connection to shift information and behavior under Liouville dynamics arediscussed.



Author: Takuya Yamano

Source: https://arxiv.org/



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