Fisher-Rao Metric — Statistical Manifold of Gaussians

Steps: 80
Clear Points Animate Geodesic Click to place distributions

The Fisher-Rao metric on Gaussian distributions ds²=(dμ²+2dσ²)/σ² is the Poincaré metric of hyperbolic geometry. Geodesics are semicircles and vertical lines. Click two points to see their geodesic and hyperbolic distance.