e3x.nn.activations.soft_sign

e3x.nn.activations.soft_sign(x)[source]

Soft-sign activation function.

Computes the gated linear activation with:

\[\mathrm{gate}(x) = \frac{1}{|x| + 1}\]

For scalar inputs, this is equivalent to:

\[\mathrm{soft\_sign}(x) = \frac{x}{|x| + 1}\]

../_images/e3x.nn.activations.soft_sign_0_0.svg

Parameters:: x (Union[Float[Array, '... 1 (max_degree+1)**2 num_features'], Float[Array, '... 2 (max_degree+1)**2 num_features']]) – Input features to which the nonlinearity is applied.
Return type:: Union[Float[Array, '... 1 (max_degree+1)**2 num_features'], Float[Array, '... 2 (max_degree+1)**2 num_features']]
Returns:: The result of applying the nonlinearity to the input features.