Geometric Structures of Information

Nielsen, Frank

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.

Details

Published by: Springer

Publication Date: 2018-11-29

Format: Hardcover

ISBN-13: 9783030025199

DOI: 10.1007/978-3-030-02520-5

Dimensions: 235.0cm x155.0cm

Pages: 392.0