DEVI Seminar- Stéphane Puechmorel (ENAC)

Date - Heure / Date - Hour
Date(s) - 12/12/2019
10h30 - 11h30

Emplacement / Location
ENAC, Building Breguet, Amphi Breguet

Foliation of statistical manifold

Summary: A statistical manifold is formally a Riemannian manifold with two dual connections. This abstract object appears naturally when we study parameterized families of densities and formalize some common estimation procedures. In this paper we will address as intuitively as possible the structural questions relating to statistical manifolds and in particular the existence of two leaves, one riemannian and the other symplectic, closely related to dual connections. The case of dimension 3 will be discussed more specifically.