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

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Jan Nechwatal,Anna Wielgoss,Kurt Mendgenn Diffeomorphic Metric Mapping is an attractive framework for that purpose. However, template estimation using LDDMM is computationally expensive, which is a limitation for the study of large datasets. This chapter presents an iterative method which quickly provides a centroid of the population in t

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E. B. Ford F.R.S., Hon.F.R.C.P.esses to macrostructures of distributed finite objects. They arise in areas such as signal processing, molecular biology, cosmology, agricultural spatial distributions, oceanography, meteorology, tomography, radiography and medicine. The new contribution here is to couple information geometry with m

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Frank NielsenBrings together geometric tools and their applications for Information analysis.Collects the most important contributions to the conference GSI’2013 - Geometric Science of Information.Presents many cu

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Hessian Structures and Divergence Functions on Deformed Exponential Families,n. In information geometry, it is known that an exponential family naturally has dualistic Hessian structures and their canonical divergences coincide with the Kullback-Leibler divergences, which are also called the relative entropies. A deformed exponential family is a generalization of exponential