α -Geometry, Tsallis q-Entropy and Positive-Definite Matrices

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Abstract

An f-divergence is not necessarily of the Bregman type. Hence, the invariant geometry induced from an f-divergence does not necessarily give a dually flat structure.

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Amari, S. ichi. (2016). α -Geometry, Tsallis q-Entropy and Positive-Definite Matrices. In Applied Mathematical Sciences (Switzerland) (Vol. 194, pp. 71–106). Springer. https://doi.org/10.1007/978-4-431-55978-8_4

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