3.1.22.6. unit_scaling.functional.gelu

unit_scaling.functional.gelu(input: Tensor, mult: float = 1.0, constraint: str | None = 'to_output_scale', approximate: str = 'none') → Tensor

Applies a unit-scaled GELU function.

When the approximate argument is ‘none’, it applies element-wise the function \(\text{GELU}(x) = x * \Phi(x)\)

where \(\Phi(x)\) is the Cumulative Distribution Function for Gaussian Distribution.

When the approximate argument is ‘tanh’, Gelu is estimated with

\[\text{GELU}(x) = 0.5 * x * (1 + \text{Tanh}(\sqrt{2 / \pi} * (x + 0.044715 * x^3)))\]

See Gaussian Error Linear Units (GELUs).

Parameters:

• mult (float?) – a multiplier to be applied to change the shape of a nonlinear function. Typically, high multipliers (> 1) correspond to a ‘sharper’ (low temperature) function, while low multipliers (< 1) correspond to a ‘flatter’ (high temperature) function.

• constraint (Optional[str]?) – The name of the constraint function to be applied to the outputs & input gradient. In this case, the constraint name must be one of: [None, ‘gmean’, ‘hmean’, ‘amean’, ‘to_output_scale’, ‘to_grad_input_scale’] (see unit_scaling.constraints for details on these constraint functions). Defaults to gmean.