A Lecture About the Use of Orlicz Spaces in Information Geometry

12/06/2020

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by   Giovanni Pistone, et al.

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This is a revised version of a tutorial lecture that I presented at the Ècole de Physique des Houches on July 26-31 2020. Topics include Non-parametric Information Geometry, the Statistical bundle, exponential Orlicz spaces, and Gaussian Orlicz-Sobolev spaces.