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Geometric Structures of Information

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 dom...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Nielsen, Frank (Editor)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2019.
Imprint: Springer,
Edition:1st ed. 2019.
Series:Signals and Communication Technology,
Subjects:
Online Access:Full-text access
Description
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.
Physical Description:VIII, 392 p. 49 illus., 36 illus. in color. online resource.
ISBN:9783030025205
ISSN:1860-4870
DOI:10.1007/978-3-030-02520-5