Frank Nielsen

Geometric Science of Information: First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings - Lecture Notes in Computer Science Frank Nielsen 2013 edition

Jacket Description/Back: This book constitutes the refereed proceedings of the First International Conference on Geometric Science of Information, GSI 2013, held in Paris, France, in August 2013. The nearly 100 papers presented were carefully reviewed and selected from numerous submissions and are organized into the following thematic sessions: Geometric Statistics on Manifolds and Lie Groups, Deformations in Shape Spaces, Differential Geometry in Signal Processing, Relational Metric, Discrete Metric Spaces, Computational Information Geometry, Hessian Information Geometry I and II, Computational Aspects of Information Geometry in Statistics, Optimization on Matrix Manifolds, Optimal Transport Theory, Probability on Manifolds, Divergence Geometry and Ancillarity, Entropic Geometry, Tensor-Valued Mathematical Morphology, Machine/Manifold/Topology Learning, Geometry of Audio Processing, Geometry of Inverse Problems, Algebraic/Infinite dimensionnal/Banach Information Manifolds, Information Geometry Manifolds, and Algorithms on ManifoldsTable of Contents: Geometric statistics on manifolds and Lie groups.- Deformations in shape spaces.- Differential Geometry in Signal Processing.- Relational Metric.- Discrete Metric Spaces.- Computational Information Geometry.- Computational Aspects of Information Geometry in Statistics.- Optimization on Matrix Manifolds.- Optimal Transport Theory.- Probability on Manifolds.- Divergence Geometry and Ancillarity.- Entropic Geometry.- Tensor-Valued Mathematical Morphology.- Machine/Manifold/Topology Learning.- Hessian Information Geometry.- Geometry of Audio Processing.- Geometry of Inverse Problems.- Algebraic/Infinite dimensional/Banach Information Manifolds.- Information Geometry Manifolds.- Algorithms on Manifolds.

Contributor Bio:  Nielsen, Frank Frank Nielsen (Japan) is a technical director and researcher at Sony Computer Science Laboratories Inc., and has written extensively on graphic design and programming in several journals including Transactions on Graphics, Computational Geometry: Theory and Applications, Transactions on Pattern Analysis, and Machine Intelligence. His writings have also appeared in numerous conference papers. Nielsen has also taught in France at ESSI and ISIA (Ecole des Mines de Paris). He holds a Ph. D. degree in Computer Science from the University of Nice (France).