DiffuseExpand / data /utils /losses.py
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"""
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"
# Force variances to be Tensors. Broadcasting helps convert scalars to
# Tensors, but it does not work for th.exp().
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))