Fig 2. Geodesic reveals the boundary.

Top: The parameter values for geodesics on the model manifold in Fig 1. The geodesic path is parameterized by τ which is proportional to the information distance on the model manifold. The boundary is reached shortly after τ ≈ 0.35 at which point two of the parameters become infinite. Bottom left: the initial and final components of the parameter normalized velocities for the geodesic (v₁ ∼ log k_f, v₂ ∼ log k_r v₃ ∼ log k_c.) The limiting approximation is deduced by considering the final geodesic velocity. Bottom right: Near the boundary, the FIM is nearly singular. The smallest FIM eigenvalue becomes zero as the boundary is approached.