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# modified from https://github.com/rosinality/stylegan2-pytorch/blob/master/op/fused_act.py # noqa:E501 | |
# Copyright (c) 2021, NVIDIA Corporation. All rights reserved. | |
# NVIDIA Source Code License for StyleGAN2 with Adaptive Discriminator | |
# Augmentation (ADA) | |
# ======================================================================= | |
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# ======================================================================= | |
import torch | |
import torch.nn.functional as F | |
from torch import nn | |
from torch.autograd import Function | |
from ..utils import ext_loader | |
ext_module = ext_loader.load_ext('_ext', ['fused_bias_leakyrelu']) | |
class FusedBiasLeakyReLUFunctionBackward(Function): | |
"""Calculate second order deviation. | |
This function is to compute the second order deviation for the fused leaky | |
relu operation. | |
""" | |
def forward(ctx, grad_output, out, negative_slope, scale): | |
ctx.save_for_backward(out) | |
ctx.negative_slope = negative_slope | |
ctx.scale = scale | |
empty = grad_output.new_empty(0) | |
grad_input = ext_module.fused_bias_leakyrelu( | |
grad_output, | |
empty, | |
out, | |
act=3, | |
grad=1, | |
alpha=negative_slope, | |
scale=scale) | |
dim = [0] | |
if grad_input.ndim > 2: | |
dim += list(range(2, grad_input.ndim)) | |
grad_bias = grad_input.sum(dim).detach() | |
return grad_input, grad_bias | |
def backward(ctx, gradgrad_input, gradgrad_bias): | |
out, = ctx.saved_tensors | |
# The second order deviation, in fact, contains two parts, while the | |
# the first part is zero. Thus, we direct consider the second part | |
# which is similar with the first order deviation in implementation. | |
gradgrad_out = ext_module.fused_bias_leakyrelu( | |
gradgrad_input, | |
gradgrad_bias.to(out.dtype), | |
out, | |
act=3, | |
grad=1, | |
alpha=ctx.negative_slope, | |
scale=ctx.scale) | |
return gradgrad_out, None, None, None | |
class FusedBiasLeakyReLUFunction(Function): | |
def forward(ctx, input, bias, negative_slope, scale): | |
empty = input.new_empty(0) | |
out = ext_module.fused_bias_leakyrelu( | |
input, | |
bias, | |
empty, | |
act=3, | |
grad=0, | |
alpha=negative_slope, | |
scale=scale) | |
ctx.save_for_backward(out) | |
ctx.negative_slope = negative_slope | |
ctx.scale = scale | |
return out | |
def backward(ctx, grad_output): | |
out, = ctx.saved_tensors | |
grad_input, grad_bias = FusedBiasLeakyReLUFunctionBackward.apply( | |
grad_output, out, ctx.negative_slope, ctx.scale) | |
return grad_input, grad_bias, None, None | |
class FusedBiasLeakyReLU(nn.Module): | |
"""Fused bias leaky ReLU. | |
This function is introduced in the StyleGAN2: | |
http://arxiv.org/abs/1912.04958 | |
The bias term comes from the convolution operation. In addition, to keep | |
the variance of the feature map or gradients unchanged, they also adopt a | |
scale similarly with Kaiming initialization. However, since the | |
:math:`1+{alpha}^2` : is too small, we can just ignore it. Therefore, the | |
final scale is just :math:`\sqrt{2}`:. Of course, you may change it with # noqa: W605, E501 | |
your own scale. | |
TODO: Implement the CPU version. | |
Args: | |
channel (int): The channel number of the feature map. | |
negative_slope (float, optional): Same as nn.LeakyRelu. | |
Defaults to 0.2. | |
scale (float, optional): A scalar to adjust the variance of the feature | |
map. Defaults to 2**0.5. | |
""" | |
def __init__(self, num_channels, negative_slope=0.2, scale=2**0.5): | |
super(FusedBiasLeakyReLU, self).__init__() | |
self.bias = nn.Parameter(torch.zeros(num_channels)) | |
self.negative_slope = negative_slope | |
self.scale = scale | |
def forward(self, input): | |
return fused_bias_leakyrelu(input, self.bias, self.negative_slope, | |
self.scale) | |
def fused_bias_leakyrelu(input, bias, negative_slope=0.2, scale=2**0.5): | |
"""Fused bias leaky ReLU function. | |
This function is introduced in the StyleGAN2: | |
http://arxiv.org/abs/1912.04958 | |
The bias term comes from the convolution operation. In addition, to keep | |
the variance of the feature map or gradients unchanged, they also adopt a | |
scale similarly with Kaiming initialization. However, since the | |
:math:`1+{alpha}^2` : is too small, we can just ignore it. Therefore, the | |
final scale is just :math:`\sqrt{2}`:. Of course, you may change it with # noqa: W605, E501 | |
your own scale. | |
Args: | |
input (torch.Tensor): Input feature map. | |
bias (nn.Parameter): The bias from convolution operation. | |
negative_slope (float, optional): Same as nn.LeakyRelu. | |
Defaults to 0.2. | |
scale (float, optional): A scalar to adjust the variance of the feature | |
map. Defaults to 2**0.5. | |
Returns: | |
torch.Tensor: Feature map after non-linear activation. | |
""" | |
if not input.is_cuda: | |
return bias_leakyrelu_ref(input, bias, negative_slope, scale) | |
return FusedBiasLeakyReLUFunction.apply(input, bias.to(input.dtype), | |
negative_slope, scale) | |
def bias_leakyrelu_ref(x, bias, negative_slope=0.2, scale=2**0.5): | |
if bias is not None: | |
assert bias.ndim == 1 | |
assert bias.shape[0] == x.shape[1] | |
x = x + bias.reshape([-1 if i == 1 else 1 for i in range(x.ndim)]) | |
x = F.leaky_relu(x, negative_slope) | |
if scale != 1: | |
x = x * scale | |
return x | |