TY - BOOK AU - Nielsen,Frank ED - SpringerLink (Online service) TI - Geometric Theory of Information T2 - Signals and Communication Technology, SN - 9783319053172 AV - TK5102.9 U1 - 621.382 23 PY - 2014/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Engineering KW - Data mining KW - Remote sensing KW - Computer science KW - Mathematics KW - Computer mathematics KW - Differential geometry KW - Signal, Image and Speech Processing KW - Differential Geometry KW - Data Mining and Knowledge Discovery KW - Mathematical Applications in Computer Science KW - Remote Sensing/Photogrammetry N1 - 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 α-connections -- A Riemannian geometry in the q-exponential Banach manifold induced by q-divergences -- Computational algebraic methods in efficient estimation N2 - 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 UR - http://dx.doi.org/10.1007/978-3-319-05317-2 ER -