amplitude_atanh#
- hypercoil.functional.activation.amplitude_atanh(input: Tensor) Tensor[source]#
Inverse hyperbolic tangent (hyperbolic arctangent) activation function applied to the amplitude only.
The amplitude (absolute value) of the input is transformed according to
\(\mathrm{arctanh} x\)
while the phase (complex argument) is preserved. This function maps the open unit disc in the complex plane into the entire complex plane: the origin is mapped to itself and the circumference is mapped to infinity.
- Dimension:
As this activation function is applied elementwise, it conserves dimension; the output will be of the same shape as the input.
- Parameters:
- inputTensor
Tensor whose amplitude is to be transformed elementwise by the hyperbolic arctangent function.
- Returns:
- outTensor
Transformed input tensor.