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.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Illustrationen
60
21 s/w Abbildungen, 60 farbige Abbildungen
XII, 392 p. 81 illus., 60 illus. in color.
Dateigröße
ISBN-13
978-3-319-05317-2 (9783319053172)
DOI
10.1007/978-3-319-05317-2
Schweitzer Klassifikation
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 a-connections.- A Riemannian geometry in the q-exponential Banach manifold induced by q-divergences.- Computational algebraic methods in efficient estimation.
