soft_shrink

Contents

soft_shrink#

class brainpy.math.soft_shrink(x, lambd=0.5)[source]#

Applies the soft shrinkage function elementwise:

\[\begin{split}\text{SoftShrinkage}(x) = \begin{cases} x - \lambda, & \text{ if } x > \lambda \\ x + \lambda, & \text{ if } x < -\lambda \\ 0, & \text{ otherwise } \end{cases}\end{split}\]
Parameters:

lambd – the \(\lambda\) (must be no less than zero) value for the Softshrink formulation. Default: 0.5

Shape:
  • Input: \((*)\), where \(*\) means any number of dimensions.

  • Output: \((*)\), same shape as the input.