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Titlebook: Geometric Science of Information; Third International Frank Nielsen,Frédéric Barbaresco Conference proceedings 2017 Springer International

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Analysis of Optimal Transport Related Misfit Functions in Seismic Imagingters of the objective functions further illustrates the role of optimal transport maps in this iterative approach. In this context we refer to the objective function as misfit. A realistic numerical example is presented.
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Anomaly Detection in Network Traffic with a Relationnal Clustering Criterionmilarity function for values in a lattice, which can then be applied to both numerical and categorical variables. Finally we propose an optimisation heuristic of this criterion and an anomaly score which outperforms many state of the art solutions.
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0302-9743 f Information, GSI 2017,held in Paris, France, in November 2017...The 101 full papers presented were carefully reviewed and selected from 113 submissions and are organized into the following subjects: .statistics on non-linear data; shape space; optimal transport and applications: image processing;
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Economic Aspects of Early Osteoarthritisutational setting for discrete surfaces, using the Large Deformation Diffeomorphic Metric Mapping framework as model for deformations. We present experiments on real data and compare with the varifolds approach.
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Information Geometry of Wasserstein Divergence-relaxed transportation plan naturally defines the exponential family and the dually flat structure of information geometry. Although the optimal cost does not define a distance function, we introduce a novel divergence function in ., which connects the relaxed Wasserstein distance to the KL-divergence by one parameter.
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Dietary Fatty Acids and Placentation,sation of the SRVT from Euclidean spaces to shape spaces of curves on Lie groups and on homogeneous manifolds. The main idea behind our approach is to exploit the geometry of the natural Lie group actions on these spaces.
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