Description
Geometric Theory of Information, 2014
Signals and Communication Technology Series
Coordinator: Nielsen Frank
Language: EnglishSubjects for Geometric Theory of Information:
Geometric Theory of Information
Publication date: 09-2016
Support: Print on demand
Publication date: 09-2016
Support: Print on demand
Geometric Theory of Information
Publication date: 05-2014
392 p. · 15.5x23.5 cm · Hardback
Publication date: 05-2014
392 p. · 15.5x23.5 cm · Hardback
Description
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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.
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.
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
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