RT Journal Article
T1 A new class of entropic information measures, formal group theory and information geometry.
A1 Rodríguez González, Miguel Ángel
A1 Romaniega, Álvaro
A1 Tempesta, Piergiulio
AB 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.
PB Royal soc
SN 1364-5021
YR 2019
FD 2019-02
LK https://hdl.handle.net/20.500.14352/13348
UL https://hdl.handle.net/20.500.14352/13348
LA eng
NO © 2019 Royal society.M.A.R. has been partly supported by the research project no. FIS2015-63966, MINECO, Spain. P.T. has been partly supported by the research project FIS2015-63966, MINECO, Spain, by the ICMAT Severo Ochoa grant no. SEV-2015-0554 and by the GNFM, Italy.
NO Ministerio de Economía y Competitividad (MINECO)
NO Centros de Excelencia Severo Ochoa (ICMAT)
NO GNFM, Italy
DS Docta Complutense
RD 23 ene 2026