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denoising-diffusion-pytorch/denoising_diffusion_pytorch/denoising_diffusion_pytorch.py
T

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Python

import math
import copy
import torch
from torch import nn, einsum
import torch.nn.functional as F
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
from tqdm import tqdm
from einops import rearrange
# helpers functions
def exists(x):
return x is not None
def default(val, d):
if exists(val):
return val
return d() if isfunction(d) else d
def cycle(dl):
while True:
for data in dl:
yield data
def num_to_groups(num, divisor):
groups = num // divisor
remainder = num % divisor
arr = [divisor] * groups
if remainder > 0:
arr.append(remainder)
return arr
def normalize_to_neg_one_to_one(img):
return img * 2 - 1
def unnormalize_to_zero_to_one(t):
return (t + 1) * 0.5
# small helper modules
class EMA():
def __init__(self, beta):
super().__init__()
self.beta = beta
def update_model_average(self, ma_model, current_model):
for current_params, ma_params in zip(current_model.parameters(), ma_model.parameters()):
old_weight, up_weight = ma_params.data, current_params.data
ma_params.data = self.update_average(old_weight, up_weight)
def update_average(self, old, new):
if old is None:
return new
return old * self.beta + (1 - self.beta) * new
class Residual(nn.Module):
def __init__(self, fn):
super().__init__()
self.fn = fn
def forward(self, x, *args, **kwargs):
return self.fn(x, *args, **kwargs) + x
class SinusoidalPosEmb(nn.Module):
def __init__(self, dim):
super().__init__()
self.dim = dim
def forward(self, x):
device = x.device
half_dim = self.dim // 2
emb = math.log(10000) / (half_dim - 1)
emb = torch.exp(torch.arange(half_dim, device=device) * -emb)
emb = x[:, None] * emb[None, :]
emb = torch.cat((emb.sin(), emb.cos()), dim=-1)
return emb
def Upsample(dim):
return nn.ConvTranspose2d(dim, dim, 4, 2, 1)
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.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):
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 = LayerNorm(dim)
def forward(self, x):
x = self.norm(x)
return self.fn(x)
# building block modules
class Block(nn.Module):
def __init__(self, dim, dim_out, groups = 8):
super().__init__()
self.proj = nn.Conv2d(dim, dim_out, 3, padding = 1)
self.norm = nn.GroupNorm(groups, dim_out)
self.act = nn.SiLU()
def forward(self, x, scale_shift = None):
x = self.proj(x)
x = self.norm(x)
if exists(scale_shift):
scale, shift = scale_shift
x = x * (scale + 1) + shift
x = self.act(x)
return x
class ResnetBlock(nn.Module):
def __init__(self, dim, dim_out, *, time_emb_dim = None, groups = 8):
super().__init__()
self.mlp = nn.Sequential(
nn.SiLU(),
nn.Linear(time_emb_dim, dim_out * 2)
) if exists(time_emb_dim) else None
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 = None):
scale_shift = None
if exists(self.mlp) and exists(time_emb):
time_emb = self.mlp(time_emb)
time_emb = rearrange(time_emb, 'b c -> b c 1 1')
scale_shift = time_emb.chunk(2, dim = 1)
h = self.block1(x, scale_shift = scale_shift)
h = self.block2(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)
self.to_out = nn.Conv2d(hidden_dim, dim, 1)
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 * 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
class Unet(nn.Module):
def __init__(
self,
dim,
init_dim = None,
out_dim = None,
dim_mults=(1, 2, 4, 8),
channels = 3,
with_time_emb = True,
resnet_block_groups = 8,
learned_variance = False
):
super().__init__()
# determine dimensions
self.channels = channels
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:]))
block_klass = partial(ResnetBlock, groups = resnet_block_groups)
# time embeddings
if with_time_emb:
time_dim = dim * 4
self.time_mlp = nn.Sequential(
SinusoidalPosEmb(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)
for ind, (dim_in, dim_out) in enumerate(in_out):
is_last = ind >= (num_resolutions - 1)
self.downs.append(nn.ModuleList([
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 = 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([
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()
]))
default_out_dim = channels * (1 if not learned_variance else 2)
self.out_dim = default(out_dim, default_out_dim)
self.final_conv = nn.Sequential(
block_klass(dim, dim),
nn.Conv2d(dim, self.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 block1, block2, attn, downsample in self.downs:
x = block1(x, t)
x = block2(x, t)
x = attn(x)
h.append(x)
x = downsample(x)
x = self.mid_block1(x, t)
x = self.mid_attn(x)
x = self.mid_block2(x, t)
for block1, block2, attn, upsample in self.ups:
x = torch.cat((x, h.pop()), dim=1)
x = block1(x, t)
x = block2(x, t)
x = attn(x)
x = upsample(x)
return self.final_conv(x)
# gaussian diffusion trainer class
def extract(a, t, x_shape):
b, *_ = t.shape
out = a.gather(-1, t)
return out.reshape(b, *((1,) * (len(x_shape) - 1)))
def linear_beta_schedule(timesteps):
scale = 1000 / timesteps
beta_start = scale * 0.0001
beta_end = scale * 0.02
return torch.linspace(beta_start, beta_end, timesteps, dtype = torch.float64)
def cosine_beta_schedule(timesteps, s = 0.008):
"""
cosine schedule
as proposed in https://openreview.net/forum?id=-NEXDKk8gZ
"""
steps = timesteps + 1
x = torch.linspace(0, timesteps, steps, dtype = torch.float64)
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 torch.clip(betas, 0, 0.999)
class GaussianDiffusion(nn.Module):
def __init__(
self,
denoise_fn,
*,
image_size,
channels = 3,
timesteps = 1000,
loss_type = 'l1',
objective = 'pred_noise',
beta_schedule = 'cosine'
):
super().__init__()
assert not (type(self) == GaussianDiffusion and denoise_fn.channels != denoise_fn.out_dim)
self.channels = channels
self.image_size = image_size
self.denoise_fn = denoise_fn
self.objective = objective
if beta_schedule == 'linear':
betas = linear_beta_schedule(timesteps)
elif beta_schedule == 'cosine':
betas = cosine_beta_schedule(timesteps)
else:
raise ValueError(f'unknown beta schedule {beta_schedule}')
alphas = 1. - betas
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
# helper function to register buffer from float64 to float32
register_buffer = lambda name, val: self.register_buffer(name, val.to(torch.float32))
register_buffer('betas', betas)
register_buffer('alphas_cumprod', alphas_cumprod)
register_buffer('alphas_cumprod_prev', alphas_cumprod_prev)
# calculations for diffusion q(x_t | x_{t-1}) and others
register_buffer('sqrt_alphas_cumprod', torch.sqrt(alphas_cumprod))
register_buffer('sqrt_one_minus_alphas_cumprod', torch.sqrt(1. - alphas_cumprod))
register_buffer('log_one_minus_alphas_cumprod', torch.log(1. - alphas_cumprod))
register_buffer('sqrt_recip_alphas_cumprod', torch.sqrt(1. / alphas_cumprod))
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)
register_buffer('posterior_variance', posterior_variance)
# below: log calculation clipped because the posterior variance is 0 at the beginning of the diffusion chain
register_buffer('posterior_log_variance_clipped', torch.log(posterior_variance.clamp(min =1e-20)))
register_buffer('posterior_mean_coef1', betas * torch.sqrt(alphas_cumprod_prev) / (1. - alphas_cumprod))
register_buffer('posterior_mean_coef2', (1. - alphas_cumprod_prev) * torch.sqrt(alphas) / (1. - alphas_cumprod))
def predict_start_from_noise(self, x_t, t, noise):
return (
extract(self.sqrt_recip_alphas_cumprod, t, x_t.shape) * x_t -
extract(self.sqrt_recipm1_alphas_cumprod, t, x_t.shape) * noise
)
def q_posterior(self, x_start, x_t, t):
posterior_mean = (
extract(self.posterior_mean_coef1, t, x_t.shape) * x_start +
extract(self.posterior_mean_coef2, t, x_t.shape) * x_t
)
posterior_variance = extract(self.posterior_variance, t, x_t.shape)
posterior_log_variance_clipped = extract(self.posterior_log_variance_clipped, t, x_t.shape)
return posterior_mean, posterior_variance, posterior_log_variance_clipped
def p_mean_variance(self, x, t, clip_denoised: bool):
model_output = self.denoise_fn(x, t)
if self.objective == 'pred_noise':
x_start = self.predict_start_from_noise(x, t = t, noise = model_output)
elif self.objective == 'pred_x0':
x_start = model_output
else:
raise ValueError(f'unknown objective {self.objective}')
if clip_denoised:
x_start.clamp_(-1., 1.)
model_mean, posterior_variance, posterior_log_variance = self.q_posterior(x_start = x_start, x_t = x, t = t)
return model_mean, posterior_variance, posterior_log_variance
@torch.no_grad()
def p_sample(self, x, t, clip_denoised=True):
b, *_, device = *x.shape, x.device
model_mean, _, model_log_variance = self.p_mean_variance(x=x, t=t, clip_denoised=clip_denoised)
noise = torch.randn_like(x)
# no noise when t == 0
nonzero_mask = (1 - (t == 0).float()).reshape(b, *((1,) * (len(x.shape) - 1)))
return model_mean + nonzero_mask * (0.5 * model_log_variance).exp() * noise
@torch.no_grad()
def p_sample_loop(self, shape):
device = self.betas.device
b = shape[0]
img = torch.randn(shape, device=device)
for i in tqdm(reversed(range(0, self.num_timesteps)), desc='sampling loop time step', total=self.num_timesteps):
img = self.p_sample(img, torch.full((b,), i, device=device, dtype=torch.long))
img = unnormalize_to_zero_to_one(img)
return img
@torch.no_grad()
def sample(self, batch_size = 16):
image_size = self.image_size
channels = self.channels
return self.p_sample_loop((batch_size, channels, image_size, image_size))
@torch.no_grad()
def interpolate(self, x1, x2, t = None, lam = 0.5):
b, *_, device = *x1.shape, x1.device
t = default(t, self.num_timesteps - 1)
assert x1.shape == x2.shape
t_batched = torch.stack([torch.tensor(t, device=device)] * b)
xt1, xt2 = map(lambda x: self.q_sample(x, t=t_batched), (x1, x2))
img = (1 - lam) * xt1 + lam * xt2
for i in tqdm(reversed(range(0, t)), desc='interpolation sample time step', total=t):
img = self.p_sample(img, torch.full((b,), i, device=device, dtype=torch.long))
return img
def q_sample(self, x_start, t, noise=None):
noise = default(noise, lambda: torch.randn_like(x_start))
return (
extract(self.sqrt_alphas_cumprod, t, x_start.shape) * x_start +
extract(self.sqrt_one_minus_alphas_cumprod, t, x_start.shape) * noise
)
@property
def loss_fn(self):
if self.loss_type == 'l1':
return F.l1_loss
elif self.loss_type == 'l2':
return F.mse_loss
else:
raise ValueError(f'invalid loss type {self.loss_type}')
def p_losses(self, x_start, t, noise = None):
b, c, h, w = x_start.shape
noise = default(noise, lambda: torch.randn_like(x_start))
x = self.q_sample(x_start=x_start, t=t, noise=noise)
model_out = self.denoise_fn(x, t)
if self.objective == 'pred_noise':
target = noise
elif self.objective == 'pred_x0':
target = x_start
else:
raise ValueError(f'unknown objective {self.objective}')
loss = self.loss_fn(model_out, target)
return loss
def forward(self, img, *args, **kwargs):
b, c, h, w, device, img_size, = *img.shape, img.device, self.image_size
assert h == img_size and w == img_size, f'height and width of image must be {img_size}'
t = torch.randint(0, self.num_timesteps, (b,), device=device).long()
img = normalize_to_neg_one_to_one(img)
return self.p_losses(img, t, *args, **kwargs)
# dataset classes
class Dataset(data.Dataset):
def __init__(self, folder, image_size, exts = ['jpg', 'jpeg', 'png']):
super().__init__()
self.folder = folder
self.image_size = image_size
self.paths = [p for ext in exts for p in Path(f'{folder}').glob(f'**/*.{ext}')]
self.transform = transforms.Compose([
transforms.Resize(image_size),
transforms.RandomHorizontalFlip(),
transforms.CenterCrop(image_size),
transforms.ToTensor()
])
def __len__(self):
return len(self.paths)
def __getitem__(self, index):
path = self.paths[index]
img = Image.open(path)
return self.transform(img)
# trainer class
class Trainer(object):
def __init__(
self,
diffusion_model,
folder,
*,
ema_decay = 0.995,
image_size = 128,
train_batch_size = 32,
train_lr = 1e-4,
train_num_steps = 100000,
gradient_accumulate_every = 2,
amp = False,
step_start_ema = 2000,
update_ema_every = 10,
save_and_sample_every = 1000,
results_folder = './results'
):
super().__init__()
self.model = diffusion_model
self.ema = EMA(ema_decay)
self.ema_model = copy.deepcopy(self.model)
self.update_ema_every = update_ema_every
self.step_start_ema = step_start_ema
self.save_and_sample_every = save_and_sample_every
self.batch_size = train_batch_size
self.image_size = diffusion_model.image_size
self.gradient_accumulate_every = gradient_accumulate_every
self.train_num_steps = train_num_steps
self.ds = Dataset(folder, image_size)
self.dl = cycle(data.DataLoader(self.ds, batch_size = train_batch_size, shuffle=True, pin_memory=True))
self.opt = Adam(diffusion_model.parameters(), lr=train_lr)
self.step = 0
self.amp = amp
self.scaler = GradScaler(enabled = amp)
self.results_folder = Path(results_folder)
self.results_folder.mkdir(exist_ok = True)
self.reset_parameters()
def reset_parameters(self):
self.ema_model.load_state_dict(self.model.state_dict())
def step_ema(self):
if self.step < self.step_start_ema:
self.reset_parameters()
return
self.ema.update_model_average(self.ema_model, self.model)
def save(self, milestone):
data = {
'step': self.step,
'model': self.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'))
def load(self, milestone):
data = torch.load(str(self.results_folder / f'model-{milestone}.pt'))
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):
with tqdm(initial = self.step, total = self.train_num_steps) as pbar:
while self.step < self.train_num_steps:
for i in range(self.gradient_accumulate_every):
data = next(self.dl).cuda()
with autocast(enabled = self.amp):
loss = self.model(data)
self.scaler.scale(loss / self.gradient_accumulate_every).backward()
pbar.set_description(f'loss: {loss.item():.4f}')
self.scaler.step(self.opt)
self.scaler.update()
self.opt.zero_grad()
if self.step % self.update_ema_every == 0:
self.step_ema()
if self.step != 0 and self.step % self.save_and_sample_every == 0:
self.ema_model.eval()
milestone = self.step // self.save_and_sample_every
batches = num_to_groups(36, self.batch_size)
all_images_list = list(map(lambda n: self.ema_model.sample(batch_size=n), batches))
all_images = torch.cat(all_images_list, dim=0)
utils.save_image(all_images, str(self.results_folder / f'sample-{milestone}.png'), nrow = 6)
self.save(milestone)
self.step += 1
pbar.update(1)
print('training complete')