mlx.nn.losses.gaussian_nll_loss

class gaussian_nll_loss(inputs: array, targets: array, vars: array, full: bool = False, eps: float = 1e-06, reduction: Literal['none', 'mean', 'sum'] = 'mean')

Computes the negative log likelihood loss for a Gaussian distribution.

The loss is given by:

\[\frac{1}{2}\left(\log\left(\max\left(\text{vars}, \ \epsilon\right)\right) + \frac{\left(\text{inputs} - \text{targets} \right)^2} {\max\left(\text{vars}, \ \epsilon \right)}\right) + \text{const.}\]

where inputs are the predicted means and vars are the the predicted variances.

Parameters:

• inputs (array) – The predicted expectation of the Gaussian distribution.

• targets (array) – The target values (samples from the Gaussian distribution).

• vars (array) – The predicted variance of the Gaussian distribution.

• full (bool, optional) – Whether to include the constant term in the loss calculation. Default: False.

• eps (float, optional) – Small positive constant for numerical stability. Default: 1e-6.

• reduction (str, optional) – Specifies the reduction to apply to the output: 'none' | 'mean' | 'sum'. Default: 'none'.

Returns:

The Gaussian NLL loss.

Return type:

array