Geometric Theory of Information

Buch | Softcover

XII, 392 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-35181-0 (ISBN)

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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 -connections.- A Riemannian geometry in the q-exponential Banach manifold induced by q-divergences.- Computational algebraic methods in efficient estimation.

Erscheinungsdatum	16.09.2016
Reihe/Serie	Signals and Communication Technology
Zusatzinfo	XII, 392 p. 81 illus., 60 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Technik ► Elektrotechnik / Energietechnik
Schlagworte	Banach Information Manifolds • Computational Information Geometry • Data Mining • data mining and knowledge discovery • Differential and Riemannian geometry • Differential Geometry • Engineering • Expert systems / knowledge-based systems • Geographical information systems (GIS) and remote • GSI'2013 - Geometric Science of Information • GSI’2013 - Geometric Science of Information • Imaging systems and technology • Information analysis • Information Ranking • Mathematical Applications in Computer Science • Mathematical Modelling • Remote Sensing/Photogrammetry • Shape Spaces • Shape Variability • Signal, Image and Speech Processing • Signal Processing
ISBN-10	3-319-35181-8 / 3319351818
ISBN-13	978-3-319-35181-0 / 9783319351810
Zustand	Neuware