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...

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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Nielsen, Frank (Editor)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Signals and Communication Technology,
Subjects:
Signal processing.
Geometry, Differential.
Data mining.
Computer science-Mathematics.
Geographic information systems.
Signal, Speech and Image Processing .
Differential Geometry.
Data Mining and Knowledge Discovery.
Mathematical Applications in Computer Science.
Geographical Information System.
Online Access:Texto Completo
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.

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