Characterization of the complexity of an ED model via information geometry

  • Chunhui Li
  • Huafei SunEmail author
  • Shicheng Zhang
Regular Article


Characterization of the complexity of an entropic dynamical model is investigated from the viewpoint of information geometry. By introducing a Riemannian metric with respect to the underlying statistical manifold, the geometric structure is achieved. Based on the general construction, the instability of the geodesic spreads on this manifold is analyzed via the associated Jacobi vector field. Entropic dynamical models with microstates spanning on its submanifold are studied similarly.


Manifold Probability Density Function Scalar Curvature Geometric Structure Inductive Inference 
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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of MathematicsBeijing Institute of TechnologyBeijingChina
  2. 2.School of MathematicsXuzhou Normal UniversityXuzhouChina

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