Geometric Structures of Information
Frank Nielsen, "Geometric Structures of Information"
English | ISBN: 3030025195 | 2019 | 402 pages | PDF, EPUB | 53 MB
English | ISBN: 3030025195 | 2019 | 402 pages | PDF, EPUB | 53 MB
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.