ott.geometry.costs.Euclidean

class ott.geometry.costs.Euclidean

Euclidean distance.

Note that the Euclidean distance is not cast as a TICost, since this would correspond to \(h\) being jax.numpy.linalg.norm(), whose gradient is not invertible, because the function is not strictly convex (it is linear on rays).

Methods

all_pairs(x, y)	Compute matrix of all pairwise costs, including the norms.
all_pairs_pairwise(x, y)	Compute matrix of all pairwise costs, excluding the norms.
barycenter(weights, xs)	Barycentric operator.
pairwise(x, y)	Compute Euclidean norm using custom jvp implementation.
twist_operator(vec, dual_vec, variable)	Twist inverse operator of the cost function.

Attributes

norm