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math.ST2022
Dually affine Information Geometry modeled on a Banach space
Goffredo Chirco, Giovanni Pistone
In this chapter, we study Information Geometry from a particular non-parametric or functional point of view. The basic model is a probabilities subset usually specified by regulari…
math.ST2020★ 10 cited
Lagrangian and Hamiltonian Mechanics for Probabilities on the Statistical Manifold
Goffredo Chirco, Luigi Malagò, Giovanni Pistone
We provide an Information-Geometric formulation of Classical Mechanics on the Riemannian manifold of probability distributions, which is an affine manifold endowed with a dually-fl…