Statistical Manifolds from the Perspective of Information Theory

In this article, we'll briefly introduce statistical manifolds and explore why a surface whose points are probability density functions possesses a manifold structure. Subsequently, we'll define the Fisher information metric, which plays the role of a Riemannian metric. Finally, we'll introduce the concept of entropy on statistical manifolds. This demonstrates the deep connection between information theory and geometry.

کلیدواژه ها:

Statistical Manifolds ، Fisher Matrix ، Information Theory ، Entropy