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

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Shape Analysis on Lie Groups and Homogeneous Spacessation 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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Optimal Matching Between Curves in a Manifoldensional manifold and compared using a Riemannian metric that is invariant under the action of the reparameterization group. This group induces a quotient structure classically interpreted as the “shape space”. We introduce a simple algorithm allowing to compute geodesics of the quotient shape space

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Regularized Barycenters in the Wasserstein Spaced on .. We discuss the existence and uniqueness of such barycenters for a large class of regularizing functions. A stability result of regularized barycenters in terms of Bregman distance associated to the convex regularization term is also given. Additionally we discuss the convergence of the regul

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Anomaly Detection in Network Traffic with a Relationnal Clustering Criterionen used to perform this task. However, to describe network traffic, both numerical and categorical variables are commonly used. So most clustering algorithms are not very well-suited to such data. Few clustering algorithms have been proposed for such heterogeneous data. Many approaches do not posses

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