tick.prox.ProxL2

class tick.prox.ProxL2(strength: float, range: tuple = None, positive: bool = False)[source]

Proximal operator of the L2 penalization. Do not mix up with ProxL2sq, which is regular ridge (squared L2) penalization. ProxL2 induces sparsity on the full vector, whenever the norm of it is small enough. This is mostly used in the ProxGroupL1 for group-lasso penalization.

Parameters:

strength : float

Level of penalization. Note that in this proximal operator, strength is automatically multiplied by the square-root of end - start, when a range is used, or n_coeffs, when no range is used (size of the passed vector). This allows to consider strengths that have the same order as with ProxL1 or other separable proximal operators.

range : tuple of two int, default=`None`

Range on which the prox is applied. If None then the prox is applied on the whole vector

positive : bool, default=`False`

If True, apply L2 penalization together with a projection onto the set of vectors with non-negative entries

Attributes:

dtype : {'float64', 'float32'}

Type of the arrays used.