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03616nam a2200517 4500 |
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|a 9783030025205
|9 978-3-030-02520-5
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|a 10.1007/978-3-030-02520-5
|2 doi
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|a TK1-9971
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|a 621.382
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|a Geometric Structures of Information
|h [electronic resource] /
|c edited by Frank Nielsen.
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|a 1st ed. 2019.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2019.
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|a VIII, 392 p. 49 illus., 36 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
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|a text file
|b PDF
|2 rda
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|a Signals and Communication Technology,
|x 1860-4862
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|a 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 Groups.
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|a 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.
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|a Electrical engineering.
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|a Coding theory.
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|a Information theory.
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|a Global analysis (Mathematics).
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650 |
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|a Manifolds (Mathematics).
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|a Communications Engineering, Networks.
|0 http://scigraph.springernature.com/things/product-market-codes/T24035
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|a Coding and Information Theory.
|0 http://scigraph.springernature.com/things/product-market-codes/I15041
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|a Global Analysis and Analysis on Manifolds.
|0 http://scigraph.springernature.com/things/product-market-codes/M12082
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700 |
1 |
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|a Nielsen, Frank.
|e editor.
|0 (orcid)0000-0001-5728-0726
|1 https://orcid.org/0000-0001-5728-0726
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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|a SpringerLink (Online service)
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|t Springer eBooks
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776 |
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|i Printed edition:
|z 9783030025199
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|i Printed edition:
|z 9783030025212
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830 |
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|a Signals and Communication Technology,
|x 1860-4862
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856 |
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|u https://doi.org/10.1007/978-3-030-02520-5
|z Full Text via HEAL-Link
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|a ZDB-2-ENG
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|a Engineering (Springer-11647)
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