ArticleEntropy (Basel, Switzerland)2021
Entropic Dynamics on Gibbs Statistical Manifolds.
Article in Entropy (Basel, Switzerland), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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9 citing papers in PubMed.
- Simulation-based inference captures non-Markovian effects as exemplified in protein production kinetics through cell division.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
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- Avoiding subtraction and division of stochastic signals using normalizing flows: NFdeconvolve.iScience · 2025Article
- Mamba time series forecasting with uncertainty quantification.Machine learning: science and technology · 2025Article
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- Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of ConstantEntropy (Basel, Switzerland) · 2022Article
- Grand Canonical Ensembles of Sparse Networks and Bayesian Inference.Entropy (Basel, Switzerland) · 2022Article
- Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms.Entropy (Basel, Switzerland) · 2021Article
- Entropy, Information, and the Updating of Probabilities.Entropy (Basel, Switzerland) · 2021Article
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3 authors.
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Abstract
Entropic dynamics is a framework in which the laws of dynamics are derived as an application of entropic methods of inference. Its successes include the derivation of quantum mechanics and quantum field theory from probabilistic principles. Here, we develop the entropic dynamics of a system, the state of which is described by a probability distribution. Thus, the dynamics unfolds on a statistical manifold that is automatically endowed by a metric structure provided by information geometry. The curvature of the manifold has a significant influence. We focus our dynamics on the statistical manifold of Gibbs distributions (also known as canonical distributions or the exponential family). The model includes an "entropic" notion of time that is tailored to the system under study; the system is its own clock. As one might expect that entropic time is intrinsically directional; there is a natural arrow of time that is led by entropic considerations. As illustrative examples, we discuss dynamics on a space of Gaussians and the discrete three-state system.
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