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Geometric Theory of Information / edited by Frank Nielsen

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Signals and Communication Technology | SpringerLink BücherPublisher: Cham ; s.l. : Springer International Publishing, 2014Description: Online-Ressource (XII, 392 p. 81 illus., 60 illus. in color, online resource)ISBN:
  • 9783319053172
Subject(s): Additional physical formats: 9783319053165 | Erscheint auch als: 978-331-90531-6-5 Druck-AusgabeDDC classification:
  • 621.382
MSC: MSC: *94-06 | 94A15 | 00A69 | 00B25LOC classification:
  • TK5102.9 TA1637-1638 TK7882.S65
  • TK5102.9
  • TA1637-1638
  • TK7882.S65
DOI: DOI: 10.1007/978-3-319-05317-2Online resources:
Contents:
PrefaceDivergence Functions and Geometric Structures They Induce on a Manifold -- Geometry on Positive Definite Matrices Deformed by V-potentials and Its Submanifold Structure -- Hessian structures and divergence functions on deformed exponential families -- Harmonic maps relative to α-connections -- A Riemannian geometry in the q-exponential Banach manifold induced by q-divergences -- Computational algebraic methods in efficient estimation.
Summary: This book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition and natural language treatment which are also substantially relevant for the industry.Summary: This book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image & Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition, and natural language treatment which are also substantially relevant for the industryPPN: PPN: 165795580XPackage identifier: Produktsigel: ZDB-2-ENG
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