| """ |
| Helpers for various likelihood-based losses. These are ported from the original |
| Ho et al. diffusion models codebase: |
| https://github.com/hojonathanho/diffusion/blob/1e0dceb3b3495bbe19116a5e1b3596cd0706c543/diffusion_tf/utils.py |
| """ |
|
|
| import numpy as np |
| import torch as th |
| import torch.nn as nn |
| import torch.nn.functional as F |
|
|
|
|
| def normal_kl(mean1, logvar1, mean2, logvar2): |
| """ |
| Compute the KL divergence between two gaussians. |
| |
| Shapes are automatically broadcasted, so batches can be compared to |
| scalars, among other use cases. |
| """ |
| tensor = None |
| for obj in (mean1, logvar1, mean2, logvar2): |
| if isinstance(obj, th.Tensor): |
| tensor = obj |
| break |
| assert tensor is not None, "at least one argument must be a Tensor" |
|
|
| |
| |
| logvar1, logvar2 = [ |
| x if isinstance(x, th.Tensor) else th.tensor(x).to(tensor) |
| for x in (logvar1, logvar2) |
| ] |
|
|
| return 0.5 * ( |
| -1.0 |
| + logvar2 |
| - logvar1 |
| + th.exp(logvar1 - logvar2) |
| + ((mean1 - mean2) ** 2) * th.exp(-logvar2) |
| ) |
|
|
|
|
| def approx_standard_normal_cdf(x): |
| """ |
| A fast approximation of the cumulative distribution function of the |
| standard normal. |
| """ |
| return 0.5 * (1.0 + th.tanh(np.sqrt(2.0 / np.pi) * (x + 0.044715 * th.pow(x, 3)))) |
|
|
|
|
| def discretized_gaussian_log_likelihood(x, *, means, log_scales): |
| """ |
| Compute the log-likelihood of a Gaussian distribution discretizing to a |
| given image. |
| |
| :param x: the target images. It is assumed that this was uint8 values, |
| rescaled to the range [-1, 1]. |
| :param means: the Gaussian mean Tensor. |
| :param log_scales: the Gaussian log stddev Tensor. |
| :return: a tensor like x of log probabilities (in nats). |
| """ |
| assert x.shape == means.shape == log_scales.shape |
| centered_x = x - means |
| inv_stdv = th.exp(-log_scales) |
| plus_in = inv_stdv * (centered_x + 1.0 / 255.0) |
| cdf_plus = approx_standard_normal_cdf(plus_in) |
| min_in = inv_stdv * (centered_x - 1.0 / 255.0) |
| cdf_min = approx_standard_normal_cdf(min_in) |
| log_cdf_plus = th.log(cdf_plus.clamp(min=1e-12)) |
| log_one_minus_cdf_min = th.log((1.0 - cdf_min).clamp(min=1e-12)) |
| cdf_delta = cdf_plus - cdf_min |
| log_probs = th.where( |
| x < -0.999, |
| log_cdf_plus, |
| th.where(x > 0.999, log_one_minus_cdf_min, th.log(cdf_delta.clamp(min=1e-12))), |
| ) |
| assert log_probs.shape == x.shape |
| return log_probs |
|
|
|
|
| def make_one_hot(input, num_classes): |
| """Convert class index tensor to one hot encoding tensor. |
| Args: |
| input: A tensor of shape [N, 1, *] |
| num_classes: An int of number of class |
| Returns: |
| A tensor of shape [N, num_classes, *] |
| """ |
| shape = np.array(input.shape) |
| shape[1] = num_classes |
| shape = tuple(shape) |
| result = th.zeros(shape) |
| result = result.scatter_(1, input.cpu(), 1) |
|
|
| return result |
|
|
|
|
| import numpy as np |
| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
|
|
|
|
| def make_one_hot(input, num_classes): |
| """Convert class index tensor to one hot encoding tensor. |
| Args: |
| input: A tensor of shape [N, 1, *] |
| num_classes: An int of number of class |
| Returns: |
| A tensor of shape [N, num_classes, *] |
| """ |
| shape = np.array(input.shape) |
| shape[1] = num_classes |
| shape = tuple(shape) |
| result = torch.zeros(shape) |
| result = result.scatter_(1, input.cpu(), 1) |
|
|
| return result |
|
|
|
|
| class BinaryDiceLoss(nn.Module): |
| """Dice loss of binary class |
| Args: |
| smooth: A float number to smooth loss, and avoid NaN error, default: 1 |
| p: Denominator value: \sum{x^p} + \sum{y^p}, default: 2 |
| predict: A tensor of shape [N, *] |
| target: A tensor of shape same with predict |
| reduction: Reduction method to apply, return mean over batch if 'mean', |
| return sum if 'sum', return a tensor of shape [N,] if 'none' |
| Returns: |
| Loss tensor according to arg reduction |
| Raise: |
| Exception if unexpected reduction |
| """ |
| def __init__(self, smooth=1, p=2, reduction='mean'): |
| super(BinaryDiceLoss, self).__init__() |
| self.smooth = smooth |
| self.p = p |
| self.reduction = reduction |
|
|
| def forward(self, predict, target): |
| assert predict.shape[0] == target.shape[0], "predict & target batch size don't match" |
| predict = predict.contiguous().view(predict.shape[0], -1) |
| target = target.contiguous().view(target.shape[0], -1) |
|
|
| num = torch.sum(torch.mul(predict, target), dim=1) + self.smooth |
| den = torch.sum(predict.pow(self.p) + target.pow(self.p), dim=1) + self.smooth |
|
|
| loss = 1 - num / den |
|
|
| if self.reduction == 'mean': |
| return loss.mean() |
| elif self.reduction == 'sum': |
| return loss.sum() |
| elif self.reduction == 'none': |
| return loss |
| else: |
| raise Exception('Unexpected reduction {}'.format(self.reduction)) |
|
|
|
|
| class DiceLoss(nn.Module): |
| """Dice loss, need one hot encode input |
| Args: |
| weight: An array of shape [num_classes,] |
| ignore_index: class index to ignore |
| predict: A tensor of shape [N, C, *] |
| target: A tensor of same shape with predict |
| other args pass to BinaryDiceLoss |
| Return: |
| same as BinaryDiceLoss |
| """ |
| def __init__(self, weight=None, ignore_index=None, **kwargs): |
| super(DiceLoss, self).__init__() |
| self.kwargs = kwargs |
| self.weight = weight |
| self.ignore_index = ignore_index |
|
|
| def forward(self,pred, mask): |
| weit = 1 + torch.abs(F.avg_pool2d(mask, kernel_size=31, stride=1, padding=15) - mask) / 100 |
| wbce = F.binary_cross_entropy_with_logits(pred, mask, reduction='none') |
| wbce = (weit * wbce).sum(dim=(2, 3)) / weit.sum(dim=(2, 3)) |
|
|
| pred = torch.sigmoid(pred) |
| inter = ((pred * mask) * weit).sum(dim=(2, 3)) |
| union = ((pred + mask) * weit).sum(dim=(2, 3)) |
| wiou = 1 - (inter + 1) / (union - inter + 1) |
| return (wbce + wiou).mean() |
|
|
| class PSNRLoss(nn.Module): |
| """Peak Signal to Noise Ratio |
| img1 and img2 have range [0, 255]""" |
|
|
| def __init__(self): |
| super(PSNRLoss, self).__init__() |
| self.name = "PSNR" |
|
|
| def forward(self, img1, img2): |
| mse = th.mean((img1 - img2) ** 2) |
| return 20 * th.log10(1.0 / th.sqrt(mse)) |
|
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