ott.geometry.costs.PNormP

class ott.geometry.costs.PNormP(p)

p-norm to the power p (and divided by p) of the difference of two vectors.

Parameters

p (float) – Power of the p-norm, a finite float larger than 1.0.

Methods

all_pairs(x, y)	Compute matrix of all costs (including norms) for vectors in x / y.
all_pairs_pairwise(x, y)	Compute matrix of all pairwise-costs (no norms) for vectors in x / y.
barycenter(weights, xs)	Barycentric operator.
h(z)	TI function acting on difference of \(x-y\) to output cost.
h_legendre(z)	Legendre transform of h() when it is convex.
pairwise(x, y)	Compute cost as evaluation of h() on \(x-y\).

Attributes

norm