pyproximal.Box

class pyproximal.Box(lower=-inf, upper=inf)

Box proximal operator.

Proximal operator of a Box: \(\operatorname{Box}_{[l, u]} = \{ x: l \leq x\leq u \}\).

Parameters

lowerfloat or np.ndarray, optional

Lower bound

upperfloat or np.ndarray, optional

Upper bound

Notes

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

Methods

__init__([lower, upper])
affine_addition(v)	Affine addition
chain(g)	Chain
grad(x)	Compute gradient
postcomposition(sigma)	Postcomposition
precomposition(a, b)	Precomposition
prox(**kwargs)
proxdual(**kwargs)

Examples using pyproximal.Box

Norms

Norms

Low-Rank completion via Matrix factorization

Low-Rank completion via Matrix factorization

Nonlinear inversion with box constraints

Nonlinear inversion with box constraints

Quadratic program with box constraints

Quadratic program with box constraints