The Rényi Entropies Operate in Positive Semifields

The Rényi Entropies Operate in Positive Semifields

We set out to demonstrate that the Rényi entropies are better thought of as operating in a type of non-linear semiring called a positive semifield. We show how the Rényi’s postulates lead to Pap’s g-calculus where the functions carrying out the domain transforma...

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Bibliographic Details
Main Authors: Francisco J. Valverde-Albacete, Carmen Peláez-Moreno
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Entropy
Subjects:
shifted Rényi entropy
Pap’s g-calculus
non-Newtonian calculus
positive commutative semifields
idempotent semifields
artificial intelligence
machine learning
computational intelligence
Online Access:https://www.mdpi.com/1099-4300/21/8/780

Internet

https://www.mdpi.com/1099-4300/21/8/780

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