GDIteration

class deepinv.optim.optim_iterators.GDIteration(**kwargs)

Bases: OptimIterator

Iterator for Gradient Descent.

Class for a single iteration of the gradient descent (GD) algorithm for minimising \(f(x) + \lambda g(x)\).

The iteration is given by

\[\begin{split}\begin{equation*} \begin{aligned} v_{k} &= \nabla f(x_k) + \nabla g(x_k) \\ x_{k+1} &= x_k-\gamma v_{k} \end{aligned} \end{equation*}\end{split}\]

where \(\gamma\) is a stepsize.

forward(X, cur_data_fidelity, cur_prior, cur_params, y, physics, *args, **kwargs)

Single gradient descent iteration on the objective \(f(x) + \lambda g(x)\).

Parameters:

• X (dict) – Dictionary containing the current iterate \(x_k\).

• cur_data_fidelity (deepinv.optim.DataFidelity) – Instance of the DataFidelity class defining the current data_fidelity.

• cur_prior (deepinv.optim.prior) – Instance of the Prior class defining the current prior.

• cur_params (dict) – Dictionary containing the current parameters of the algorithm.

• y (torch.Tensor) – Input data.

Returns:

Dictionary {“est”: (x, ), “cost”: F} containing the updated current iterate and the estimated current cost.

Examples using GDIteration:

Random phase retrieval and reconstruction methods.

Random phase retrieval and reconstruction methods.