Geometric Theory of Information

This book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image & Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition and natural language treatment which are also substantially relevant for the industry.

Brings 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 current uses of in the interdisciplinary fields of Information Geometry Manifolds Includes supplementary material: sn.pub/extras

Inhalt
Preface.- Divergence Functions and Geometric Structures They Induce on a Manifold.- Geometry on Positive Definite Matrices Deformed by V-potentials and Its Submanifold Structure.- Hessian structures and divergence functions on deformed exponential families.- Harmonic maps relative to -connections.- A Riemannian geometry in the q-exponential Banach manifold induced by q-divergences.- Computational algebraic methods in efficient estimation.