| Description |
1 online resource |
| Series |
Signals and communication technology |
|
Signals and communication technology.
|
| Contents |
Rho-Tau Embedding of Statistical Models / Jan Naudts and Jun Zhang -- A Class of Non-parametric Deformed Exponential Statistical Models / Luigi Montrucchio and Giovanni Pistone -- Statistical Manifolds Admitting Torsion and Partially Flat Spaces / Masayuki Henmi and Hiroshi Matsuzoe -- Conformal Flattening on the Probability Simplex and Its Applications to Voronoi Partitions and Centroids / Atsumi Ohara -- Monte Carlo Information-Geometric Structures / Frank Nielsen and Gaëtan Hadjeres -- Information Geometry in Portfolio Theory / Ting-Kam Leonard Wong -- Generalizing Frailty Assumptions in Survival Analysis: a Geometric Approach / Vahed Maroufy and Paul Marriott -- Some Universal Insights on Divergences for Statistics, Machine Learning and Artificial Intelligence / Michel Broniatowski and Wolfgang Stummer -- Information-Theoretic Matrix Inequalities and Diffusion Processes on Unimodular Lie Groups / Gergory S. Chirikjian -- Warped Riemannian Metrics for Locaton-Scale Models / Salem Said, Lionel Bombrun and Yannick Berthoumieu -- Clustering in Hilbert's Projective Geometry: the Case Studies of Correlation Matrices / Frank Nielsen and Ke Sun -- Jean-Louis Koszul and the Elementary Structures of Information Geometry / Frédéric Barbaresco |
| 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"--Page 4 of cover |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (EBSCO, viewed November 30, 2018) |
| Subject |
Geometrical models in statistics -- Congresses
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Information theory in mathematics -- Congresses
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Geometry, Differential -- Congresses
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Data structures (Computer science) -- Congresses
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Coding theory & cryptology.
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Numerical analysis.
|
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Communications engineering -- telecommunications.
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MATHEMATICS -- Applied.
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MATHEMATICS -- Probability & Statistics -- General.
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MATHEMATICS -- Geometry -- Differential.
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Data structures (Computer science)
|
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Geometrical models in statistics
|
|
Geometry, Differential
|
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Information theory in mathematics
|
| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
|
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Actes de congrès.
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| Form |
Electronic book
|
| Author |
Nielsen, Frank, editor.
|
| ISBN |
9783030025205 |
|
3030025209 |
|
