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Geometric Structures of Information

Geometric Structures of Information

Hardcover

Series: Signals and Communication Technology

Technology & EngineeringGeneral ComputersGeneral Mathematics

ISBN10: 3030025195
ISBN13: 9783030025199
Publisher: Springer
Published: Nov 29 2018
Pages: 392
Weight: 1.62
Height: 0.88 Width: 6.14 Depth: 9.21
Language: English

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.

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