Geometric Structures of Information

By Nielsen

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.

• Format: Hardcover
• Language: English
• ISBN: 3030025195
• ISBN13: 9783030025199
• Release Date: November 2018
• Publisher: Springer
• Length: 392 Pages
• Weight: 1.62 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"