ArticleProceedings. Mathematical, physical, and engineering sciences2019
A new class of entropic information measures, formal group theory and information geometry.
Article in Proceedings. Mathematical, physical, and engineering sciences, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Weighted Relative Group Entropies and Associated Fisher Metrics.Entropy (Basel, Switzerland) · 2022Article
- Generalized entropies, density of states, and non-extensivity.Scientific reports · 2020Article
- Universality Classes and Information-Theoretic Measures of Complexity via Group Entropies.Scientific reports · 2020Article
- Group Entropies: From Phase Space Geometry to Entropy Functionals via Group Theory.Entropy (Basel, Switzerland) · 2018Review
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3 authors.
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Abstract
In this work, we study generalized entropies and information geometry in a group-theoretical framework. We explore the conditions that ensure the existence of some natural properties and at the same time of a group-theoretical structure for a large class of entropies. In addition, a method for defining new entropies, using previously known ones with some desired group-theoretical properties is proposed. In the second part of this work, the information geometrical counterpart of the previous construction is examined and a general class of divergences are proposed and studied. Finally, a method of constructing new divergences from known ones is discussed; in particular, some results concerning the Riemannian structure associated with the class of divergences under investigation are formulated.
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