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Geometric Structures of Information. 2019 ed.
・ISBN 978-3-030-02519-9 hard EUR 149.99
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| 著者・編者 | Nielsen, Frank (ed.), |
|---|---|
| シリーズ | (Signals and Communication Technology) |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 392 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A03-93270＞ |
解説
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.