AffineModel

class cuqi.model.AffineModel(linear_operator, shift, linear_operator_adjoint=None, range_geometry=None, domain_geometry=None)

Model class representing an affine model, i.e. a linear operator with a fixed shift. For linear models, represented by a linear operator only, see LinearModel.

The affine model is defined as:

\[x \mapsto Ax + shift\]

where \(A\) is the linear operator and \(shift\) is the shift.

Parameters:

• linear_operator (2d ndarray, callable function or cuqi.model.LinearModel) – The linear operator. If ndarray is given, the operator is assumed to be a matrix.

• shift (scalar or array_like) – The shift to be added to the forward operator.

• linear_operator_adjoint (callable function, optional) – The adjoint of the linear operator. Also used for computing gradients.

• range_geometry (cuqi.geometry.Geometry) – The geometry representing the range.

• domain_geometry (cuqi.geometry.Geometry) – The geometry representing the domain.

__init__(linear_operator, shift, linear_operator_adjoint=None, range_geometry=None, domain_geometry=None)

Methods

__init__(linear_operator, shift[, ...])
forward(*args[, is_par])	Forward function of the model.
gradient(direction, *args[, ...])	Gradient of the forward operator (Direction-Jacobian product)

Attributes

domain_dim	The dimension of the domain
domain_geometry	The geometry representing the domain of the model.
number_of_inputs	The number of inputs of the model.
range_dim	The dimension of the range
range_geometry	The geometry representing the range of the model.
shift	The shift of the affine model.