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書名 Geometric structures of information / edited by Frank Nielsen
出版項 Cham : Springer International Publishing : Imprint: Springer, 2019
國際標準書號 9783030025205 (electronic bk.)
9783030025199 (paper)
國際標準號碼 10.1007/978-3-030-02520-5 doi
book jacket
說明 1 online resource (viii, 392 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 Signals and communication technology, 1860-4862
Signals and communication technology
附註 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
Host Item Springer eBooks
主題 Geometrical models in statistics
Information theory in mathematics
Geometry, Differential
Data structures (Computer science)
Communications Engineering, Networks
Coding and Information Theory
Global Analysis and Analysis on Manifolds
Alt Author Nielsen, Frank, editor
SpringerLink (Online service)
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