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@@ -2,7 +2,9 @@
## Denoising Diffusion Probabilistic Model, in Pytorch
Implementation of <a href="https://arxiv.org/abs/2006.11239">Denoising Diffusion Probabilistic Model</a> in Pytorch. It is a new approach to generative modeling that may <a href="https://ajolicoeur.wordpress.com/the-new-contender-to-gans-score-matching-with-langevin-sampling/">have the potential</a> to rival GANs. It uses denoising score matching to estimate the gradient of the data distribution, followed by Langevin sampling to sample from the true distribution. This implementation was transcribed from the official Tensorflow version <a href="https://github.com/hojonathanho/diffusion">here</a>.
Implementation of <a href="https://arxiv.org/abs/2006.11239">Denoising Diffusion Probabilistic Model</a> in Pytorch. It is a new approach to generative modeling that may <a href="https://ajolicoeur.wordpress.com/the-new-contender-to-gans-score-matching-with-langevin-sampling/">have the potential</a> to rival GANs. It uses denoising score matching to estimate the gradient of the data distribution, followed by Langevin sampling to sample from the true distribution.
This implementation was transcribed from the official Tensorflow version <a href="https://github.com/hojonathanho/diffusion">here</a> and then modified to use <a href="https://arxiv.org/abs/2201.03545">ConvNext</a> blocks instead of Resnets.
<img src="./sample.png" width="500px"><img>
@@ -32,7 +34,7 @@ diffusion = GaussianDiffusion(
loss_type = 'l1' # L1 or L2
)
training_images = torch.randn(8, 3, 128, 128)
training_images = torch.randn(8, 3, 128, 128) # your images need to be normalized from a range of -1 to +1
loss = diffusion(training_images)
loss.backward()
# after a lot of training
@@ -66,7 +68,7 @@ trainer = Trainer(
train_num_steps = 700000, # total training steps
gradient_accumulate_every = 2, # gradient accumulation steps
ema_decay = 0.995, # exponential moving average decay
fp16 = True # turn on mixed precision training with apex
amp = True # turn on mixed precision
)
trainer.train()
@@ -97,3 +99,14 @@ Samples and model checkpoints will be logged to `./results` periodically
note = {under review}
}
```
```bibtex
@misc{liu2022convnet,
title = {A ConvNet for the 2020s},
author = {Zhuang Liu and Hanzi Mao and Chao-Yuan Wu and Christoph Feichtenhofer and Trevor Darrell and Saining Xie},
year = {2022},
eprint = {2201.03545},
archivePrefix = {arXiv},
primaryClass = {cs.CV}
}
```
@@ -7,21 +7,16 @@ from inspect import isfunction
from functools import partial
from torch.utils import data
from torch.cuda.amp import autocast, GradScaler
from pathlib import Path
from torch.optim import Adam
from torchvision import transforms, utils
from PIL import Image
import numpy as np
from tqdm import tqdm
from einops import rearrange
try:
from apex import amp
APEX_AVAILABLE = True
except:
APEX_AVAILABLE = False
# helpers functions
def exists(x):
@@ -45,13 +40,6 @@ def num_to_groups(num, divisor):
arr.append(remainder)
return arr
def loss_backwards(fp16, loss, optimizer, **kwargs):
if fp16:
with amp.scale_loss(loss, optimizer) as scaled_loss:
scaled_loss.backward(**kwargs)
else:
loss.backward(**kwargs)
# small helper modules
class EMA():
@@ -91,31 +79,29 @@ class SinusoidalPosEmb(nn.Module):
emb = torch.cat((emb.sin(), emb.cos()), dim=-1)
return emb
class Mish(nn.Module):
def forward(self, x):
return x * torch.tanh(F.softplus(x))
def Upsample(dim):
return nn.ConvTranspose2d(dim, dim, 4, 2, 1)
class Upsample(nn.Module):
def __init__(self, dim):
def Downsample(dim):
return nn.Conv2d(dim, dim, 4, 2, 1)
class LayerNorm(nn.Module):
def __init__(self, dim, eps = 1e-5):
super().__init__()
self.conv = nn.ConvTranspose2d(dim, dim, 4, 2, 1)
self.eps = eps
self.g = nn.Parameter(torch.ones(1, dim, 1, 1))
self.b = nn.Parameter(torch.zeros(1, dim, 1, 1))
def forward(self, x):
return self.conv(x)
class Downsample(nn.Module):
def __init__(self, dim):
super().__init__()
self.conv = nn.Conv2d(dim, dim, 3, 2, 1)
def forward(self, x):
return self.conv(x)
var = torch.var(x, dim = 1, unbiased = False, keepdim = True)
mean = torch.mean(x, dim = 1, keepdim = True)
return (x - mean) / (var + self.eps).sqrt() * self.g + self.b
class PreNorm(nn.Module):
def __init__(self, dim, fn):
super().__init__()
self.fn = fn
self.norm = nn.InstanceNorm2d(dim, affine = True)
self.norm = LayerNorm(dim)
def forward(self, x):
x = self.norm(x)
@@ -127,9 +113,9 @@ class Block(nn.Module):
def __init__(self, dim, dim_out, groups = 8):
super().__init__()
self.block = nn.Sequential(
nn.Conv2d(dim, dim_out, 3, padding=1),
nn.Conv2d(dim, dim_out, 3, padding = 1),
nn.GroupNorm(groups, dim_out),
Mish()
nn.SiLU()
)
def forward(self, x):
return self.block(x)
@@ -138,27 +124,89 @@ class ResnetBlock(nn.Module):
def __init__(self, dim, dim_out, *, time_emb_dim = None, groups = 8):
super().__init__()
self.mlp = nn.Sequential(
Mish(),
nn.SiLU(),
nn.Linear(time_emb_dim, dim_out)
) if exists(time_emb_dim) else None
self.block1 = Block(dim, dim_out)
self.block2 = Block(dim_out, dim_out)
self.block1 = Block(dim, dim_out, groups = groups)
self.block2 = Block(dim_out, dim_out, groups = groups)
self.res_conv = nn.Conv2d(dim, dim_out, 1) if dim != dim_out else nn.Identity()
def forward(self, x, time_emb):
def forward(self, x, time_emb = None):
h = self.block1(x)
if exists(self.mlp):
print('hmmm')
h += self.mlp(time_emb)[:, :, None, None]
if exists(self.mlp) and exists(time_emb):
time_emb = self.mlp(time_emb)
h = rearrange(time_emb, 'b c -> b c 1 1') + h
h = self.block2(h)
return h + self.res_conv(x)
class ConvNextBlock(nn.Module):
""" https://arxiv.org/abs/2201.03545 """
def __init__(self, dim, dim_out, *, time_emb_dim = None, mult = 2, norm = True):
super().__init__()
self.mlp = nn.Sequential(
nn.GELU(),
nn.Linear(time_emb_dim, dim)
) if exists(time_emb_dim) else None
self.ds_conv = nn.Conv2d(dim, dim, 7, padding = 3, groups = dim)
self.net = nn.Sequential(
LayerNorm(dim) if norm else nn.Identity(),
nn.Conv2d(dim, dim_out * mult, 3, padding = 1),
nn.GELU(),
LayerNorm(dim_out * mult),
nn.Conv2d(dim_out * mult, dim_out, 3, padding = 1)
)
self.res_conv = nn.Conv2d(dim, dim_out, 1) if dim != dim_out else nn.Identity()
def forward(self, x, time_emb = None):
h = self.ds_conv(x)
if exists(self.mlp) and exists(time_emb):
assert exists(time_emb), 'time emb must be passed in'
condition = self.mlp(time_emb)
h = h + rearrange(condition, 'b c -> b c 1 1')
h = self.net(h)
return h + self.res_conv(x)
class LinearAttention(nn.Module):
def __init__(self, dim, heads = 4, dim_head = 32):
super().__init__()
self.scale = dim_head ** -0.5
self.heads = heads
hidden_dim = dim_head * heads
self.to_qkv = nn.Conv2d(dim, hidden_dim * 3, 1, bias = False)
self.to_out = nn.Sequential(
nn.Conv2d(hidden_dim, dim, 1),
LayerNorm(dim)
)
def forward(self, x):
b, c, h, w = x.shape
qkv = self.to_qkv(x).chunk(3, dim = 1)
q, k, v = map(lambda t: rearrange(t, 'b (h c) x y -> b h c (x y)', h = self.heads), qkv)
q = q.softmax(dim = -2)
k = k.softmax(dim = -1)
q = q * self.scale
context = torch.einsum('b h d n, b h e n -> b h d e', k, v)
out = torch.einsum('b h d e, b h d n -> b h e n', context, q)
out = rearrange(out, 'b h c (x y) -> b (h c) x y', h = self.heads, x = h, y = w)
return self.to_out(out)
class Attention(nn.Module):
def __init__(self, dim, heads = 4, dim_head = 32):
super().__init__()
self.scale = dim_head ** -0.5
self.heads = heads
hidden_dim = dim_head * heads
self.to_qkv = nn.Conv2d(dim, hidden_dim * 3, 1, bias = False)
@@ -166,12 +214,16 @@ class LinearAttention(nn.Module):
def forward(self, x):
b, c, h, w = x.shape
qkv = self.to_qkv(x)
q, k, v = rearrange(qkv, 'b (qkv heads c) h w -> qkv b heads c (h w)', heads = self.heads, qkv=3)
k = k.softmax(dim=-1)
context = torch.einsum('bhdn,bhen->bhde', k, v)
out = torch.einsum('bhde,bhdn->bhen', context, q)
out = rearrange(out, 'b heads c (h w) -> b (heads c) h w', heads=self.heads, h=h, w=w)
qkv = self.to_qkv(x).chunk(3, dim = 1)
q, k, v = map(lambda t: rearrange(t, 'b (h c) x y -> b h c (x y)', h = self.heads), qkv)
q = q * self.scale
sim = einsum('b h d i, b h d j -> b h i j', q, k)
sim = sim - sim.amax(dim = -1, keepdim = True).detach()
attn = sim.softmax(dim = -1)
out = einsum('b h i j, b h d j -> b h i d', attn, v)
out = rearrange(out, 'b h (x y) d -> b (h d) x y', x = h, y = w)
return self.to_out(out)
# model
@@ -180,30 +232,50 @@ class Unet(nn.Module):
def __init__(
self,
dim,
init_dim = None,
out_dim = None,
dim_mults=(1, 2, 4, 8),
groups = 8,
channels = 3,
with_time_emb = True
with_time_emb = True,
use_convnext = False,
resnet_block_groups = 8,
convnext_mult = 2
):
super().__init__()
# determine dimensions
self.channels = channels
dims = [channels, *map(lambda m: dim * m, dim_mults)]
init_dim = default(init_dim, dim // 3 * 2)
self.init_conv = nn.Conv2d(channels, init_dim, 7, padding = 3)
dims = [init_dim, *map(lambda m: dim * m, dim_mults)]
in_out = list(zip(dims[:-1], dims[1:]))
# resnet or convnext
if use_convnext:
block_klass = partial(ConvNextBlock, mult = convnext_mult)
else:
block_klass = partial(ResnetBlock, groups = resnet_block_groups)
# time embeddings
if with_time_emb:
time_dim = dim
time_dim = dim * 4
self.time_mlp = nn.Sequential(
SinusoidalPosEmb(dim),
nn.Linear(dim, dim * 4),
Mish(),
nn.Linear(dim * 4, dim)
nn.Linear(dim, time_dim),
nn.GELU(),
nn.Linear(time_dim, time_dim)
)
else:
time_dim = None
self.time_mlp = None
# layers
self.downs = nn.ModuleList([])
self.ups = nn.ModuleList([])
num_resolutions = len(in_out)
@@ -212,41 +284,43 @@ class Unet(nn.Module):
is_last = ind >= (num_resolutions - 1)
self.downs.append(nn.ModuleList([
ResnetBlock(dim_in, dim_out, time_emb_dim = time_dim),
ResnetBlock(dim_out, dim_out, time_emb_dim = time_dim),
block_klass(dim_in, dim_out, time_emb_dim = time_dim),
block_klass(dim_out, dim_out, time_emb_dim = time_dim),
Residual(PreNorm(dim_out, LinearAttention(dim_out))),
Downsample(dim_out) if not is_last else nn.Identity()
]))
mid_dim = dims[-1]
self.mid_block1 = ResnetBlock(mid_dim, mid_dim, time_emb_dim = time_dim)
self.mid_attn = Residual(PreNorm(mid_dim, LinearAttention(mid_dim)))
self.mid_block2 = ResnetBlock(mid_dim, mid_dim, time_emb_dim = time_dim)
self.mid_block1 = block_klass(mid_dim, mid_dim, time_emb_dim = time_dim)
self.mid_attn = Residual(PreNorm(mid_dim, Attention(mid_dim)))
self.mid_block2 = block_klass(mid_dim, mid_dim, time_emb_dim = time_dim)
for ind, (dim_in, dim_out) in enumerate(reversed(in_out[1:])):
is_last = ind >= (num_resolutions - 1)
self.ups.append(nn.ModuleList([
ResnetBlock(dim_out * 2, dim_in, time_emb_dim = time_dim),
ResnetBlock(dim_in, dim_in, time_emb_dim = time_dim),
block_klass(dim_out * 2, dim_in, time_emb_dim = time_dim),
block_klass(dim_in, dim_in, time_emb_dim = time_dim),
Residual(PreNorm(dim_in, LinearAttention(dim_in))),
Upsample(dim_in) if not is_last else nn.Identity()
]))
out_dim = default(out_dim, channels)
self.final_conv = nn.Sequential(
Block(dim, dim),
block_klass(dim, dim),
nn.Conv2d(dim, out_dim, 1)
)
def forward(self, x, time):
x = self.init_conv(x)
t = self.time_mlp(time) if exists(self.time_mlp) else None
h = []
for resnet, resnet2, attn, downsample in self.downs:
x = resnet(x, t)
x = resnet2(x, t)
for block1, block2, attn, downsample in self.downs:
x = block1(x, t)
x = block2(x, t)
x = attn(x)
h.append(x)
x = downsample(x)
@@ -255,10 +329,10 @@ class Unet(nn.Module):
x = self.mid_attn(x)
x = self.mid_block2(x, t)
for resnet, resnet2, attn, upsample in self.ups:
for block1, block2, attn, upsample in self.ups:
x = torch.cat((x, h.pop()), dim=1)
x = resnet(x, t)
x = resnet2(x, t)
x = block1(x, t)
x = block2(x, t)
x = attn(x)
x = upsample(x)
@@ -282,11 +356,11 @@ def cosine_beta_schedule(timesteps, s = 0.008):
as proposed in https://openreview.net/forum?id=-NEXDKk8gZ
"""
steps = timesteps + 1
x = np.linspace(0, steps, steps)
alphas_cumprod = np.cos(((x / steps) + s) / (1 + s) * np.pi * 0.5) ** 2
x = torch.linspace(0, timesteps, steps)
alphas_cumprod = torch.cos(((x / timesteps) + s) / (1 + s) * torch.pi * 0.5) ** 2
alphas_cumprod = alphas_cumprod / alphas_cumprod[0]
betas = 1 - (alphas_cumprod[1:] / alphas_cumprod[:-1])
return np.clip(betas, a_min = 0, a_max = 0.999)
return torch.clip(betas, 0, 0.999)
class GaussianDiffusion(nn.Module):
def __init__(
@@ -296,50 +370,48 @@ class GaussianDiffusion(nn.Module):
image_size,
channels = 3,
timesteps = 1000,
loss_type = 'l1',
betas = None
loss_type = 'l1'
):
super().__init__()
self.channels = channels
self.image_size = image_size
self.denoise_fn = denoise_fn
if exists(betas):
betas = betas.detach().cpu().numpy() if isinstance(betas, torch.Tensor) else betas
else:
betas = cosine_beta_schedule(timesteps)
betas = cosine_beta_schedule(timesteps)
alphas = 1. - betas
alphas_cumprod = np.cumprod(alphas, axis=0)
alphas_cumprod_prev = np.append(1., alphas_cumprod[:-1])
alphas_cumprod = torch.cumprod(alphas, axis=0)
alphas_cumprod_prev = F.pad(alphas_cumprod[:-1], (1, 0), value = 1.)
timesteps, = betas.shape
self.num_timesteps = int(timesteps)
self.loss_type = loss_type
to_torch = partial(torch.tensor, dtype=torch.float32)
self.register_buffer('betas', to_torch(betas))
self.register_buffer('alphas_cumprod', to_torch(alphas_cumprod))
self.register_buffer('alphas_cumprod_prev', to_torch(alphas_cumprod_prev))
self.register_buffer('betas', betas)
self.register_buffer('alphas_cumprod', alphas_cumprod)
self.register_buffer('alphas_cumprod_prev', alphas_cumprod_prev)
# calculations for diffusion q(x_t | x_{t-1}) and others
self.register_buffer('sqrt_alphas_cumprod', to_torch(np.sqrt(alphas_cumprod)))
self.register_buffer('sqrt_one_minus_alphas_cumprod', to_torch(np.sqrt(1. - alphas_cumprod)))
self.register_buffer('log_one_minus_alphas_cumprod', to_torch(np.log(1. - alphas_cumprod)))
self.register_buffer('sqrt_recip_alphas_cumprod', to_torch(np.sqrt(1. / alphas_cumprod)))
self.register_buffer('sqrt_recipm1_alphas_cumprod', to_torch(np.sqrt(1. / alphas_cumprod - 1)))
self.register_buffer('sqrt_alphas_cumprod', torch.sqrt(alphas_cumprod))
self.register_buffer('sqrt_one_minus_alphas_cumprod', torch.sqrt(1. - alphas_cumprod))
self.register_buffer('log_one_minus_alphas_cumprod', torch.log(1. - alphas_cumprod))
self.register_buffer('sqrt_recip_alphas_cumprod', torch.sqrt(1. / alphas_cumprod))
self.register_buffer('sqrt_recipm1_alphas_cumprod', torch.sqrt(1. / alphas_cumprod - 1))
# calculations for posterior q(x_{t-1} | x_t, x_0)
posterior_variance = betas * (1. - alphas_cumprod_prev) / (1. - alphas_cumprod)
# above: equal to 1. / (1. / (1. - alpha_cumprod_tm1) + alpha_t / beta_t)
self.register_buffer('posterior_variance', to_torch(posterior_variance))
self.register_buffer('posterior_variance', posterior_variance)
# below: log calculation clipped because the posterior variance is 0 at the beginning of the diffusion chain
self.register_buffer('posterior_log_variance_clipped', to_torch(np.log(np.maximum(posterior_variance, 1e-20))))
self.register_buffer('posterior_mean_coef1', to_torch(
betas * np.sqrt(alphas_cumprod_prev) / (1. - alphas_cumprod)))
self.register_buffer('posterior_mean_coef2', to_torch(
(1. - alphas_cumprod_prev) * np.sqrt(alphas) / (1. - alphas_cumprod)))
self.register_buffer('posterior_log_variance_clipped', torch.log(posterior_variance.clamp(min =1e-20)))
self.register_buffer('posterior_mean_coef1', betas * torch.sqrt(alphas_cumprod_prev) / (1. - alphas_cumprod))
self.register_buffer('posterior_mean_coef2', (1. - alphas_cumprod_prev) * torch.sqrt(alphas) / (1. - alphas_cumprod))
def q_mean_variance(self, x_start, t):
mean = extract(self.sqrt_alphas_cumprod, t, x_start.shape) * x_start
@@ -482,7 +554,7 @@ class Trainer(object):
train_lr = 2e-5,
train_num_steps = 100000,
gradient_accumulate_every = 2,
fp16 = False,
amp = False,
step_start_ema = 2000,
update_ema_every = 10,
save_and_sample_every = 1000,
@@ -508,11 +580,8 @@ class Trainer(object):
self.step = 0
assert not fp16 or fp16 and APEX_AVAILABLE, 'Apex must be installed in order for mixed precision training to be turned on'
self.fp16 = fp16
if fp16:
(self.model, self.ema_model), self.opt = amp.initialize([self.model, self.ema_model], self.opt, opt_level='O1')
self.amp = amp
self.scaler = GradScaler(enabled = amp)
self.results_folder = Path(results_folder)
self.results_folder.mkdir(exist_ok = True)
@@ -532,7 +601,8 @@ class Trainer(object):
data = {
'step': self.step,
'model': self.model.state_dict(),
'ema': self.ema_model.state_dict()
'ema': self.ema_model.state_dict(),
'scaler': self.scaler.state_dict()
}
torch.save(data, str(self.results_folder / f'model-{milestone}.pt'))
@@ -542,18 +612,21 @@ class Trainer(object):
self.step = data['step']
self.model.load_state_dict(data['model'])
self.ema_model.load_state_dict(data['ema'])
self.scaler.load_state_dict(data['scaler'])
def train(self):
backwards = partial(loss_backwards, self.fp16)
while self.step < self.train_num_steps:
for i in range(self.gradient_accumulate_every):
data = next(self.dl).cuda()
loss = self.model(data)
print(f'{self.step}: {loss.item()}')
backwards(loss / self.gradient_accumulate_every, self.opt)
self.opt.step()
with autocast(enabled = self.amp):
loss = self.model(data)
self.scaler.scale(loss / self.gradient_accumulate_every).backward()
print(f'{self.step}: {loss.item()}')
self.scaler.step(self.opt)
self.scaler.update()
self.opt.zero_grad()
if self.step % self.update_ema_every == 0:
+1 -2
View File
@@ -3,7 +3,7 @@ from setuptools import setup, find_packages
setup(
name = 'denoising-diffusion-pytorch',
packages = find_packages(),
version = '0.6.7',
version = '0.11.2',
license='MIT',
description = 'Denoising Diffusion Probabilistic Models - Pytorch',
author = 'Phil Wang',
@@ -15,7 +15,6 @@ setup(
],
install_requires=[
'einops',
'numpy',
'pillow',
'torch',
'torchvision',