Search Results for author: Giovanni Pistone

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Lagrangian and Hamiltonian Mechanics for Probabilities on the Statistical Manifold

no code implementations20 Sep 2020 Goffredo Chirco, Luigi Malagò, Giovanni Pistone

In a non-parametric formalism, we consider the full set of positive probability functions on a finite sample space, and we provide a specific expression for the tangent and cotangent spaces over the statistical manifold, in terms of a Hilbert bundle structure that we call the Statistical Bundle.

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