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Título:
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A new class of entropic information measures, formal group theory and information geometry.
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Autores:
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Rodríguez González, Miguel Ángel ;
Romaniega, Álvaro ;
Tempesta, Piergiulio
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Tipo de documento:
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texto impreso
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Editorial:
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Royal soc, 2019-02
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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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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En línea:
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https://eprints.ucm.es/55558/1/TempestaP%2003%20Preprint.pdf
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