Author | : Frank Nielsen |
File Size | : 45,9 Mb |
Publisher | : Springer |
Language | : English |
Release Date | : 19 November 2018 |
ISBN | : 9783030025205 |
Pages | : 392 pages |
Geometric Structures of Information by Frank Nielsen Book PDF Summary
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.