jaxopt.projection.projection_halfspace

jaxopt.projection.projection_halfspace(x, hyperparams)

Projection onto a halfspace:

$$\underset{y}{\text{argmin}}||x-y|{|}_2^2\text{subject to}{a}^{\mathrm{\top }}y\le b$$

Parameters

• x (Array) – pytree to project.

• hyperparams (Tuple) – tuple hyperparams = (a, b), where a is a pytree with the same structure as x and b is a scalar.

Return type

Array

Returns

output array, with same shape as x.