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...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Nielsen, Frank (Editor)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2019.
Imprint: Springer,
Edition:1st ed. 2019.
Series:Signals and Communication Technology,
Subjects:
Telecommunication.
Coding theory.
Information theory.
Global analysis (Mathematics).
Manifolds (Mathematics).
Communications Engineering, Networks.
Coding and Information Theory.
Global Analysis and Analysis on Manifolds.
Online Access:Full-text access
Table of Contents:
  • 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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