pyproximal.AffineSet

class pyproximal.AffineSet(Op: LinearOperator, b: ndarray[tuple[Any, ...], dtype[_ScalarT]], niter: int)

Affine set proximal operator.

Proximal operator of an Affine set: \(\{ \mathbf{x} : \mathbf{Opx}=\mathbf{b} \}\).

Parameters

Oppylops.LinearOperator

Linear operator

bnumpy.ndarray

Data vector

niterint

Number of iterations of iterative scheme used to compute the projection.

Notes

As the Affine set is an indicator function, the proximal operator corresponds to its orthogonal projection (see pyproximal.projection.AffineSetProj for details.

Methods

__init__(Op, b, niter)
affine_addition(v)	Affine addition
chain(g)	Chain
grad(x)	Gradient of the Moreau envelope of the function.
postcomposition(sigma)	Postcomposition
precomposition(a, b)	Precomposition
prox(**kwargs)
proxdual(**kwargs)

Examples using pyproximal.AffineSet

Basis Pursuit

Basis Pursuit