Natural Gradient Agrees At Equilibrium

Documentation

Lean 4 Proof

theorem natural_gradient_agrees_at_equilibrium {J : ℕ} (hJ : 0 < J) :
    fisherRaoDistance (symmetricShare J) (symmetricShare J) = 0 := by
  simp only [fisherRaoDistance]
  rw [bhattacharyya_uniform_self hJ]
  exact Real.arccos_one

Dependency Graph

Module Section

Information Geometry of CES: