Titlebook: Geometric Theory of Information; Frank Nielsen Book 2014 Springer International Publishing Switzerland 2014 Banach Information Manifolds.C

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FACT

Jean Remy Davée Guimarães,Donna Merglerpurpose, we review the standard harmonic map and affine harmonic maps, and describe the conditions for harmonicity of maps between level surfaces of a Hessian domain in terms of the parameter . and the dimension .. To illustrate the theory, we describe harmonic maps between the level surfaces of convex cones.

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Harmonic Maps Relative to ,-Connections,purpose, we review the standard harmonic map and affine harmonic maps, and describe the conditions for harmonicity of maps between level surfaces of a Hessian domain in terms of the parameter . and the dimension .. To illustrate the theory, we describe harmonic maps between the level surfaces of convex cones.

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HARP

Mirko D’Onofrio,Andrea Ruzzenenteviewpoint of information geometry. It is proved that the geometry is invariant under special linear group actions and naturally introduces a foliated structure. Each leaf is proved to be a homogeneous statistical manifold with a negative constant curvature and enjoy a special decomposition property

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Jean Remy Davée Guimarães,Donna Merglerpurpose, we review the standard harmonic map and affine harmonic maps, and describe the conditions for harmonicity of maps between level surfaces of a Hessian domain in terms of the parameter . and the dimension .. To illustrate the theory, we describe harmonic maps between the level surfaces of con

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Steven Bouillon,Rod M. Connollya Banach manifold modelled on spaces of essentially bounded random variables. As a result of the construction, this manifold recovers the exponential manifold given by Pistone and Sempi up to continuous embeddings on the modeling space. The .-divergence functional plays two important roles on the ma

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Ecological Diversity and Its Measurementarticular it is shown how first and second order efficient estimators can be constructed, such as bias corrected Maximum Likelihood and more general estimators, and for which the estimating equations are purely algebraic. In addition it is shown how Gröbner basis technology, which is at the heart of

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Hugo Rosa Da Conceição,Jan Börnernberg Characteristic function logarithm (KVCFL). The front of the Legendre mapping of this KVCFL is the graph of a convex function, the Legendre transform of this KVCFL. By analogy in thermodynamic with Dual Massieu–Duhem potentials (Free Energy and Entropy), the Legendre transform of KVCFL is inter