This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing.
The book collects the most important contributions to the conference GSI'2017 - Geometric Science of Information.
| ISBN: | 9783030025199 |
| Publication date: | 29th November 2018 |
| Author: | Frank Nielsen |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Hardback |
| Pagination: | 392 pages |
| Series: | Signals and Communication Technology |
| Genres: |
Communications engineering / telecommunications Information theory Coding theory and cryptology Calculus and mathematical analysis |