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10/14/2022
Affine statistical bundle modeled on a Gaussian Orlicz-Sobolev space
The dually flat structure of statistical manifolds can be derived in a n...
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04/02/2022
Dually affine Information Geometry modeled on a Banach space
In this chapter, we study Information Geometry from a particular non-par...
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12/06/2020
A Lecture About the Use of Orlicz Spaces in Information Geometry
This is a revised version of a tutorial lecture that I presented at the ...
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09/20/2020
Lagrangian and Hamiltonian Mechanics for Probabilities on the Statistical Manifold
We provide an Information-Geometric formulation of Classical Mechanics o...
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02/28/2020
Information Geometry of smooth densities on the Gaussian space: Poincaré inequalities
We derive bounds for the Orlicz norm of the deviation of a random variab...
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02/24/2020
Finite space Kantorovich problem with an MCMC of table moves
In Optimal Transport (OT) on a finite metric space, one defines a distan...
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02/24/2020
Computing Kantorovich distance with a MCMC of moves
In Optimal Transport (OT) on a finite metric space, one defines a distan...
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11/05/2019
Information Geometry of the Probability Simplex: A Short Course
This set of notes is intended for a short course aiming to provide an (a...
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01/28/2018