maxframe.tensor.special.softplus#

maxframe.tensor.special.softplus(x, **kwargs)[source]#

Compute the softplus function element-wise.

The softplus function is defined as: softplus(x) = log(1 + exp(x)). It is a smooth approximation of the rectifier function (ReLU).

Parameters:

  • x (array_like) – Input value.

  • **kwargs – For other keyword-only arguments, see the ufunc docs.

Returns:

softplus – Logarithm of exp(0) + exp(x).

Return type:

ndarray

Examples

>>> from maxframe.tensor import special

>>> special.softplus(0).to_numpy()
0.6931471805599453

>>> special.softplus([-1, 0, 1]).to_numpy()
array([0.31326169, 0.69314718, 1.31326169])