Supplemental to Differential Privacy Over Riemannian Manifolds 1 Simulation details

Simulations are done in Matlab on a desktop computer with an Intel Xeon processor at 3.60GHz with 31.9 For our simulations, we set r = 1 .5 and df = 2. 1.2.2 Let ( θ,φ) be the pair of polar and azimuthal angles, respectively, where θ [0,π ] and φ [0, 2π). Then Y will be a draw from the d-dimensional Euclidean Laplace with scale σ and center x . One can sample vectors on the required tangent space in several manners, the proposed method is chosen for computational ease.