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Geometric structures of information

Nielsen, Frank.

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Geometric structures of information

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometric structures of information/ edited by Frank Nielsen.
other author:	Nielsen, Frank.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	viii, 392 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Geometrical models in statistics. -
Online resource:	https://doi.org/10.1007/978-3-030-02520-5
ISBN:	9783030025205

Geometric structures of information
Geometric structures of information[electronic resource] /edited by Frank Nielsen. - Cham :Springer International Publishing :2019. - viii, 392 p. :ill., digital ;24 cm. - Signals and communication technology,1860-4862. - Signals and communication technology..

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.

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.

ISBN: 9783030025205

Standard No.: 10.1007/978-3-030-02520-5doiSubjects--Topical Terms:

3252266
Geometrical models in statistics.

LC Class. No.: QA276.23 / .G466 2019

Dewey Class. No.: 519.5

Geometric structures of information
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245 0 0 $a Geometric structures of information $h [electronic resource] / $c edited by Frank Nielsen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a viii, 392 p. : $b ill., digital ; $c 24 cm.
490 1 $a Signals and communication technology, $x 1860-4862
505 0 $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.
520 $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.
650 0 $a Geometrical models in statistics. $3 3252266
650 0 $a Information theory in mathematics. $3 757432
650 0 $a Geometry, Differential. $3 523835
650 0 $a Data structures (Computer science) $3 527210
650 1 4 $a Communications Engineering, Networks. $3 891094
650 2 4 $a Coding and Information Theory. $3 891252
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 891107
700 1 $a Nielsen, Frank. $3 778030
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Signals and communication technology. $3 1565543
856 4 0 $u https://doi.org/10.1007/978-3-030-02520-5
950 $a Engineering (Springer-11647)