ott.geometry.costs.ElasticL1#
- class ott.geometry.costs.ElasticL1(gamma=1.0)[source]#
Cost inspired by elastic net [Zou and Hastie, 2005] regularization.
\[\frac{1}{2} \|\cdot\|_2^2 + \gamma \|\cdot\|_1\]- Parameters:
gamma (
float) – Strength of the \(\|\cdot\|_1\) regularization, \(\ge 0\).
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.
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 \(x-y\).prox_reg(z)Proximal operator of
reg().reg(z)Regularization function.
Attributes