Geometric Structures of Information

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 dom...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Nielsen, Frank (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Signals and Communication Technology,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Geometric Structures of Information  |h [electronic resource] /  |c edited by Frank Nielsen. 
250 |a 1st ed. 2019. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2019. 
300 |a VIII, 392 p. 49 illus., 36 illus. in color.  |b online resource. 
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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 Electrical engineering. 
650 0 |a Coding theory. 
650 0 |a Information theory. 
650 0 |a Global analysis (Mathematics). 
650 0 |a Manifolds (Mathematics). 
650 1 4 |a Communications Engineering, Networks.  |0 http://scigraph.springernature.com/things/product-market-codes/T24035 
650 2 4 |a Coding and Information Theory.  |0 http://scigraph.springernature.com/things/product-market-codes/I15041 
650 2 4 |a Global Analysis and Analysis on Manifolds.  |0 http://scigraph.springernature.com/things/product-market-codes/M12082 
700 1 |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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830 0 |a Signals and Communication Technology,  |x 1860-4862 
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