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Geometric Structures of Information / edited by Frank Nielsen

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Signals and Communication Technology | Springer eBook Collection | SpringerLink BücherPublisher: Cham : Springer International Publishing, 2019Description: Online-Ressource (VIII, 392 p. 49 illus., 36 illus. in color, online resource)ISBN:
  • 9783030025205
Subject(s): Additional physical formats: 9783030025199 | 9783030025212 | Erscheint auch als: 978-3-030-02519-9 Druck-Ausgabe | Printed edition: 9783030025199 | Printed edition: 9783030025212 DDC classification:
  • 621.382
MSC: MSC: *62-06 | 60-06 | 53-06 | 94-06 | 00B25LOC classification:
  • TK1-9971
DOI: DOI: 10.1007/978-3-030-02520-5Online resources: 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 InformationSummary: Rho-Tau Embedding of Statistical Models -- A class of non-parametric deformed exponential statistical models -- Statistical Manifolds Admitting Torsion and Partially Flat Spaces -- Conformal attening on the probability simplex and its applications to Voronoi partitions and centroids Atsumi Ohara -- Monte Carlo Information-Geometric Structures -- Information geometry in portfolio theory -- Generalising Frailty Assumptions in Survival Analysis: a Geometric Approach -- Some Universal Insights on Divergences for Statistics, Machine Learning and Articial Intelligence -- Information-Theoretic Matrix Inequalities and Diusion Processes on Unimodular Lie GroupsPPN: PPN: 1041330820Package identifier: Produktsigel: ZDB-2-ENG | ZDB-2-SEB | ZDB-2-SXE
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