信息几何是将微分几何与概率论结合而成的数学理论。主要应用于统计分析、控制理论、神经网络、量子力学、信息论等领域。

Information geometry is a branch of mathematics that applies the techniques of differential geometry to the field of probability theory. This is done by taking probability distributions for a statistical model as the points of a Riemannian manifold, forming a statistical manifold. The Fisher information metric provides the Riemannian metric.