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...

Full description

Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Nielsen, Frank (Editor)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Series:Signals and Communication Technology,
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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.