Theoretical investigations of an information geometric approach to complexity
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Publication:5370836
DOI10.1142/S0129055X17300023zbMath1431.94038arXiv1709.02428MaRDI QIDQ5370836
Publication date: 20 October 2017
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.02428
Quantum chaos (81Q50) Measures of information, entropy (94A17) Applications of functional analysis in probability theory and statistics (46N30) Methods of local Riemannian geometry (53B21) Problems with incomplete information (optimization) (49N30)
Related Items
An information geometric perspective on the complexity of macroscopic predictions arising from incomplete information ⋮ Information geometric methods for complexity ⋮ Information geometric complexity of entropic motion on curved statistical manifolds under different metrizations of probability spaces
Cites Work
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- Local softening of information geometric indicators of chaos in statistical modeling in the presence of quantum-like considerations
- Information geometric complexity of a trivariate Gaussian statistical model
- The geometric structures and instability of entropic dynamical models
- Reexamination of an information geometric construction of entropic indicators of complexity
- Quantifying the complexity of geodesic paths on curved statistical manifolds through information geometric entropies and Jacobi fields
- Quantum chaos: a decoherent definition
- Information-geometric indicators of chaos in Gaussian Models on statistical manifolds of negative Ricci Curvature
- What is complexity?
- Application of the maximum relative entropy method to the physics of ferromagnetic materials
- Maximum-entropy inference and inverse continuity of the numerical range
- Measures of statistical complexity: why?
- A statistical cohomogeneity one metric on the upper plane with constant negative curvature
- Notions of the ergodic hierarchy for curved statistical manifolds
- Jacobi fields on statistical manifolds of negative curvature
- On the instability of two entropic dynamical models
- A five-dimensional Riemannian manifold with an irreducible \(\mathrm{SO}(3)\)-structure as a model of abstract statistical manifold
- Entanglement in scattering processes
- Continuity of the maximum-entropy inference
- Opinion particles: classical physics and opinion dynamics
- Information geometric characterization of the complexity of fractional Brownian motions
- Softening the Complexity of Entropic Motion on Curved Statistical Manifolds
- Entropic dynamics, time and quantum theory
- Statistical Inference, Occam's Razor, and Statistical Mechanics on the Space of Probability Distributions
- The generalized Jacobi equation
- On the complexity of statistical models admitting correlations
- Hypersensitivity and chaos signatures in the quantum baker's maps
- Kolmogorov–Sinai entropy and black holes
- INFORMATION GEOMETRY, INFERENCE METHODS AND CHAOTIC ENERGY LEVELS STATISTICS
- Geometrodynamics of Information on Curved Statistical Manifolds and its Applications to Chaos
- K-Divisibility and a Theorem of Lorentz and Shimogaki
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- Counting probability distributions: Differential geometry and model selection
- Fisher information geometry of the barycenter map
- Quantifying networks complexity from information geometry viewpoint
- Maximizing the Divergence from a Hierarchical Model of Quantum States
- Standard forms and entanglement engineering of multimode Gaussian states under local operations
- Information-theoretic lower bound on energy cost of stochastic computation
- Dynamics of non-stationary processes that follow the maximum of the Rényi entropy principle
- Entanglement mechanisms in one-dimensional potential scattering
- Logical basis for information theory and probability theory
- Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?