Geometric Theory of Information

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Nielsen, Frank (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Signals and Communication Technology,
• Θέματα: Engineering.; Data mining.; Remote sensing.; Computer science > Mathematics.; Computer mathematics.; Differential geometry.; Signal, Image and Speech Processing.; Differential Geometry.; Data Mining and Knowledge Discovery.; Mathematical Applications in Computer Science.; Remote Sensing/Photogrammetry.

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...

Πίνακας περιεχομένων:

• 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.