Geometric Structures of Information

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Nielsen, Frank (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Signals and Communication Technology,
• Θέματα: Electrical engineering.; Coding theory.; Information theory.; Global analysis (Mathematics).; Manifolds (Mathematics).; Communications Engineering, Networks.; Coding and Information Theory.; Global Analysis and Analysis on Manifolds.
• Φυσική περιγραφή: VIII, 392 p. 49 illus., 36 illus. in color. online resource.
• ISBN: 9783030025205
• ISSN: 1860-4862
• DOI: 10.1007/978-3-030-02520-5

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.