Geometric Science of Information

This book constitutes the refereed proceedings of the Third International Conference on Geometric Science of 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 dataShape SpaceOptimal Transport & Applications I (Data Science and Economics)Optimal Transport & Applications II (Signal and Image Processing)Topology and statistical learningStatistical Manifold & Hessian Information GeometryMonotone Embedding in Information GeometryInformation Structure in NeuroscienceGeometric Robotics & TrackingGeometric Mechanics & RoboticsStochastic Geometric Mechanics & Lie Group ThermodynamicsProbability on Riemannian ManifoldsDivergence GeometryGeometric Deep LearningFirst and second-order Optimization on Statistical ManifoldsNon-parametric Information GeometryGeometry of quantum statesOptimization on ManifoldComputational Information GeometryProbability Density EstimationGeometry of Tensor-Valued DataGeometry and Inverse ProblemsGeometry in Vision, Learning and Dynamical SystemsLie Groups and WaveletsGeometry of metric measure spacesGeometry and TelecomGeodesic Methods with ConstraintsApplications of Distance Geometry