def mix_gaussian_loss(y_hat, y, log_scale_min=-7.0, reduce=True):
    """Mixture of continuous gaussian distributions loss

    Note that it is assumed that input is scaled to [-1, 1].

    Args:
        y_hat (Tensor): Predicted output (B x C x T)
        y (Tensor): Target (B x T x 1).
        log_scale_min (float): Log scale minimum value
        reduce (bool): If True, the losses are averaged or summed for each
          minibatch.
    Returns
        Tensor: loss
    """
    assert y_hat.dim() == 3
    C = y_hat.size(1)
    if C == 2:
        nr_mix = 1
    else:
        assert y_hat.size(1) % 3 == 0
        nr_mix = y_hat.size(1) // 3

    # (B x T x C)
    y_hat = y_hat.transpose(1, 2)

    # unpack parameters.
    if C == 2:
        # special case for C == 2, just for compatibility
        logit_probs = None
        means = y_hat[:, :, 0:1]
        log_scales = torch.clamp(y_hat[:, :, 1:2], min=log_scale_min)
    else:
        #  (B, T, num_mixtures) x 3
        logit_probs = y_hat[:, :, :nr_mix]
        means = y_hat[:, :, nr_mix : 2 * nr_mix]
        log_scales = torch.clamp(
            y_hat[:, :, 2 * nr_mix : 3 * nr_mix], min=log_scale_min
        )

    # B x T x 1 -> B x T x num_mixtures
    y = y.expand_as(means)

    centered_y = y - means
    dist = Normal(loc=0.0, scale=torch.exp(log_scales))
    # do we need to add a trick to avoid log(0)?
    log_probs = dist.log_prob(centered_y)

    if nr_mix > 1:
        log_probs = log_probs + F.log_softmax(logit_probs, -1)

    if reduce:
        if nr_mix == 1:
            return -torch.sum(log_probs)
        else:
            return -torch.sum(log_sum_exp(log_probs))
    else:
        if nr_mix == 1:
            return -log_probs
        else:
            return -log_sum_exp(log_probs).unsqueeze(-1)
Mixture of continuous gaussian distributions loss

Note that it is assumed that input is scaled to [-1, 1].

Args:
y_hat (Tensor): Predicted output (B x C x T)
y (Tensor): Target (B x T x 1).
log_scale_min (float): Log scale minimum value
reduce (bool): If True, the losses are averaged or summed for each
minibatch.
Returns
Tensor: loss
models/tts/debatts/utils/distribution.py