Tikhonov
- class deepinv.optim.Tikhonov(*args, **kwargs)[source]
Bases:
Prior
Tikhonov regularizer \(\reg{x} = \frac{1}{2}\| x \|_2^2\).
- fn(x, *args, **kwargs)[source]
Computes the Tikhonov regularizer \(\reg{x} = \frac{1}{2}\| x \|_2^2\).
- Parameters:
x (torch.Tensor) – Variable \(x\) at which the prior is computed.
- Returns:
(torch.Tensor) prior \(\reg{x}\).
- grad(x, *args, **kwargs)[source]
Calculates the gradient of the Tikhonov regularization term \(\regname\) at \(x\).
- Parameters:
x (torch.Tensor) – Variable \(x\) at which the gradient is computed.
- Returns:
(torch.Tensor) gradient at \(x\).
- prox(x, *args, gamma=1.0, **kwargs)[source]
Calculates the proximity operator of the Tikhonov regularization term \(\gamma g\) at \(x\).
- Parameters:
x (torch.Tensor) – Variable \(x\) at which the proximity operator is computed.
gamma (float) – stepsize of the proximity operator.
- Returns:
(torch.Tensor) proximity operator at \(x\).