Gaussian Activation

gaussian_actv_type

gaussian_actv_type(
  scale=1.0,
  sigma=1.5,
  mu=0.0,
  attributes=...
)

The Gaussian activation function applies a Gaussian (bell curve) transformation to the input.

\[f(x) = s \frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{(x-\mu)^2}{2\sigma^2}}\]

where \(\sigma\) is the standard deviation, \(\mu\) is the mean, and \(s\) is a scaling factor. This activation is useful for radial basis function networks and certain specialised architectures.

Arguments

• scale (real): Scaling factor for the output. Default: 1.0.

• sigma (real): Standard deviation of the Gaussian function. Default: 1.5.

• mu (real): Mean of the Gaussian function. Default: 0.0.

• attributes (array): Optional ONNX attributes.

Shape:

• Input: Any shape.

• Output: Same shape as input.