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Progress in Information Geometry Theory and Applications

This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topo...

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Bibliographic Details
Other Authors: Nielsen, Frank (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2021, 2021
Edition:1st ed. 2021
Series:Signals and Communication Technology
Subjects:
Coding And Information Theory
Complex Systems
Coding Theory
Statistics 
System Theory
Signal, Speech And Image Processing
Information Theory
Telecommunication
Statistics In Engineering, Physics, Computer Science, Chemistry And Earth Sciences
Communications Engineering, Networks
Manifolds (mathematics)
Signal Processing
Global Analysis (mathematics)
Global Analysis And Analysis On Manifolds
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Information Geometry of smooth densities on the Gaussian space: Poincare inequalities
  • On Normalization Functions and ϕ-families of Probability Distributions
  • Affine Connections with Torsion in (para-)complexified Structures
  • Contact Hamiltonian systems for probability distribution functions and expectation variables: A study based on a class of master equations
  • Invariant Koszul Form of Homogeneous Bounded Domains and Information Geometry Structures
  • Gauge freedom of entropies on q-Gaussian measures
  • On geodesic triangles with right angles in a dually flat space
  • Chain Rule Optimal Transport
  • Towards the “Shape” of Cosmological Observables and the String Theory Landscape with Topological Data Analysis
  • A review of two decades of correlations, hierarchies, networks and clustering in financial markets

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