Titlebook: Geometric Structures of Information; Frank Nielsen Book 2019 Springer Nature Switzerland AG 2019 Hessian Information Geometry.Shape Space.

呼吸

Rho-Tau Embedding of Statistical Models,he coordinates of a parametric model are affine then the rho-tau metric tensor is Hessian and the dual coordinates are affine as well. We illustrate our approach using models belonging to deformed exponential families, and give a simple and precise characterization for the rho-tau metric to become Hessian.

Psa617

有斑点

wangle

Rho-Tau Embedding of Statistical Models,-tau divergence. It depends only on the product . of the derivatives of . and .. Hence, once the metric tensor is fixed still some freedom is left to manipulate the geometry. We call this the .. A sufficient condition for the existence of a dually flat geometry is established. It is shown that, if t

Commemorate

A Class of Non-parametric Deformed Exponential Statistical Models,t zero. This class generalizes the class introduced by N.J. Newton. We discuss the convexity and regularity of the normalization operator, the form of the deformed statistical divergences and their convex duality, the properties of the escort densities, and the affine manifold structure of the stati

灵敏

欢呼

STALL

Monte Carlo Information-Geometric Structures,pect to any statistical divergence like the Kullback–Leibler (KL) divergence or the Hellinger divergence. When equipping a statistical manifold with the KL divergence, the induced manifold structure is dually flat, and the KL divergence between distributions amounts to an equivalent Bregman divergen

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乞丐