Ebook: Geometric Structures of Information
Author: Frank Nielsen
- Tags: Engineering, Communications Engineering Networks, Coding and Information Theory, Global Analysis and Analysis on Manifolds
- Series: Signals and Communication Technology
- Year: 2019
- Publisher: Springer International Publishing
- Edition: 1st ed.
- Language: English
- pdf
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.