Information Geometry of the Probability Simplex: A Short Course
From MaRDI portal
Publication:5145575
DOI10.33581/1561-4085-2020-23-2-221-242zbMath1452.94036arXiv1911.01876OpenAlexW3047693429WikidataQ125617728 ScholiaQ125617728MaRDI QIDQ5145575
Publication date: 21 January 2021
Published in: Nonlinear Phenomena in Complex Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.01876
Measures of information, entropy (94A17) Differential geometric aspects of statistical manifolds and information geometry (53B12)
Related Items
Lagrangian and Hamiltonian dynamics for probabilities on the statistical bundle ⋮ Contact Hamiltonian Systems for Probability Distribution Functions and Expectation Variables: A Study Based on a Class of Master Equations ⋮ A Lecture About the Use of Orlicz Spaces in Information Geometry ⋮ Rényi relative entropy from homogeneous Kullback-Leibler divergence Lagrangian ⋮ Statistical bundle of the transport model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Examples of the application of nonparametric information geometry to statistical physics
- Information geometry formalism for the spatially homogeneous Boltzmann equation
- Markov bases in algebraic statistics.
- An infinite-dimensional statistical manifold modelled on Hilbert space
- Lectures on algebraic statistics
- Deformed exponential bundle: the linear growth case
- Possible generalization of Boltzmann-Gibbs statistics.
- Differential-geometrical methods in statistics
- The uniqueness of the Fisher metric as information metric
- Generalised Thermostatistics
- Algebraic Geometry and Statistical Learning Theory
- Algebraic and Geometric Methods in Statistics
- Connections on Non-Parametric Statistical Manifolds by Orlicz Space Geometry
- Algebraic Statistics
- Towards the geometry of estimation of distribution algorithms based on the exponential family
- Algebraic Statistics for Computational Biology
- Non-linear kinetics underlying generalized statistics
- H-theorem and generalized entropies within the framework of nonlinear kinetics
