Information geometry

The set of all normal distributions forms a statistical manifold with hyperbolic geometry.

Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. [1] It studies statistical manifolds, which are Riemannian manifolds whose points correspond to probability distributions.

  1. ^ Nielsen, Frank (2022). "The Many Faces of Information Geometry" (PDF). Notices of the AMS. 69 (1). American Mathematical Society: 36-45.