Information geometric complexity of entropic motion on curved statistical manifolds under different metrizations of probability spaces
DOI10.1142/S0219887819500828zbMath1420.62017arXiv1903.11190OpenAlexW3102850105MaRDI QIDQ5233021
Publication date: 13 September 2019
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.11190
Asymptotic properties of parametric estimators (62F12) Metric spaces, metrizability (54E35) Measures of information, entropy (94A17) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Information theory (general) (94A15) Statistical aspects of information-theoretic topics (62B10) Linear and affine connections (53B05) Affine differential geometry (53A15) Probabilistic metric spaces (54E70)
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Cites Work
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- Dark energy from entanglement entropy
- Entropy differential metric, distance and divergence measures in probability spaces: A unified approach
- Quantifying the complexity of geodesic paths on curved statistical manifolds through information geometric entropies and Jacobi fields
- Entangled states in quantum cosmology and the interpretation of \(\Lambda \)
- Information geometry and its applications
- Information-geometric indicators of chaos in Gaussian Models on statistical manifolds of negative Ricci Curvature
- Application of the maximum relative entropy method to the physics of ferromagnetic materials
- Geometric algebra and information geometry for quantum computational software
- An information geometric perspective on the complexity of macroscopic predictions arising from incomplete information
- Differential-geometrical methods in statistics
- Jacobi fields on statistical manifolds of negative curvature
- Geometric classification of the torsion tensor in space-time
- Entropic dynamics, time and quantum theory
- Quantum information and relativity theory
- An Extended Cencov Characterization of the Information Metric
- Information geometric methods for complexity
- Torsion in Bianchi IX cosmology
- Theoretical investigations of an information geometric approach to complexity
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