ott.initializers.linear.initializers.GaussianInitializer

class ott.initializers.linear.initializers.GaussianInitializer

Gaussian initializer [Thornton and Cuturi, 2022].

Compute Gaussian approximations of each PointCloud, then compute closed from Kantorovich potential between Gaussian approximations using Brenier’s theorem (adapt convex/Brenier potential to Kantorovich). Use this Gaussian potential to initialize Sinkhorn potentials/scalings.

Methods

init_fu(ot_prob, lse_mode[, rng])	Initialize Sinkhorn potential/scaling f_u.
init_gv(ot_prob, lse_mode[, rng])	Initialize Sinkhorn potential/scaling g_v.