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denoising_diffusion_pytorch.py
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denoising_diffusion_pytorch.py
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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 pathlib import Path
from torch.optim import Adam
from torchvision import transforms, utils
from astropy.io import fits
from PIL import Image
import numpy as np
from tqdm import tqdm
from einops import rearrange
from time import time
DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu")
# _ _ _
# | | | | ___| |_ __ ___ _ __ ___
# | |_| |/ _ \ | '_ \ / _ \ '__/ __|
# | _ | __/ | |_) | __/ | \__ \
# |_| |_|\___|_| .__/ \___|_| |___/
# |_|
def default(val, d):
if val is not None:
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
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
class Mish(nn.Module):
def forward(self, x):
return x * torch.tanh(F.softplus(x))
class Upsample(nn.Module):
def __init__(self, dim):
super().__init__()
self.conv = nn.ConvTranspose2d(dim, dim, 4, 2, 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)
class PreNorm(nn.Module):
def __init__(self, dim, fn):
super().__init__()
self.fn = fn
self.norm = nn.InstanceNorm2d(dim, affine = True)
def forward(self, x):
x = self.norm(x)
return self.fn(x)
class Rezero(nn.Module):
def __init__(self, fn):
super().__init__()
self.fn = fn
self.g = nn.Parameter(torch.zeros(1))
def forward(self, x):
return self.fn(x) * self.g
# ____ _ _ _ _ _ _ _
# | __ ) _ _(_) | __| (_)_ __ __ _ | |__ | | ___ ___| | _____
# | _ \| | | | | |/ _` | | '_ \ / _` | | '_ \| |/ _ \ / __| |/ / __|
# | |_) | |_| | | | (_| | | | | | (_| | | |_) | | (_) | (__| <\__ \
# |____/ \__,_|_|_|\__,_|_|_| |_|\__, | |_.__/|_|\___/ \___|_|\_\___/
# |___/
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.GroupNorm(groups, dim_out),
Mish()
)
def forward(self, x):
return self.block(x)
class ResnetBlock(nn.Module):
def __init__(self, dim, dim_out, *, time_emb_dim, groups = 8):
super().__init__()
self.mlp = nn.Sequential(
Mish(),
nn.Linear(time_emb_dim, dim_out)
)
self.block1 = Block(dim, dim_out)
self.block2 = Block(dim_out, dim_out)
self.res_conv = nn.Conv2d(dim, dim_out, 1) if dim != dim_out else nn.Identity()
def forward(self, x, time_emb):
h = self.block1(x)
h += self.mlp(time_emb)[:, :, None, None]
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.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)
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)
return self.to_out(out)
# _ _ _ _ _
# | | | |_ __ ___| |_ _ __ ___ ___ __| | ___| |
# | | | | '_ \ / _ \ __| | '_ ` _ \ / _ \ / _` |/ _ \ |
# | |_| | | | | __/ |_ | | | | | | (_) | (_| | __/ |
# \___/|_| |_|\___|\__| |_| |_| |_|\___/ \__,_|\___|_|
#
class Unet(nn.Module):
def __init__(
self,
dim,
out_dim = None,
dim_mults=(1, 2, 4, 8),
groups = 8,
channels = 3
):
super().__init__()
self.channels = channels
dims = [channels, *map(lambda m: dim * m, dim_mults)]
in_out = list(zip(dims[:-1], dims[1:]))
self.time_pos_emb = SinusoidalPosEmb(dim)
self.mlp = nn.Sequential(
nn.Linear(dim, dim * 4),
Mish(),
nn.Linear(dim * 4, dim)
)
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([
ResnetBlock(dim_in, dim_out, time_emb_dim = dim),
ResnetBlock(dim_out, dim_out, time_emb_dim = dim),
Residual(Rezero(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 = dim)
self.mid_attn = Residual(Rezero(LinearAttention(mid_dim)))
self.mid_block2 = ResnetBlock(mid_dim, mid_dim, time_emb_dim = 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 = dim),
ResnetBlock(dim_in, dim_in, time_emb_dim = dim),
Residual(Rezero(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),
nn.Conv2d(dim, out_dim, 1)
)
def forward(self, x, time):
t = self.time_pos_emb(time)
t = self.mlp(t)
h = []
for resnet, resnet2, attn, downsample in self.downs:
x = resnet(x, t)
x = resnet2(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 resnet, resnet2, attn, upsample in self.ups:
x = torch.cat((x, h.pop()), dim=1)
x = resnet(x, t)
x = resnet2(x, t)
x = attn(x)
x = upsample(x)
return self.final_conv(x)
# ____ _ _ _ __ __ _
# / ___| __ _ _ _ ___ ___(_) __ _ _ __ __| (_)/ _|/ _|_ _ ___(_) ___ _ __
# | | _ / _` | | | / __/ __| |/ _` | '_ \ / _` | | |_| |_| | | / __| |/ _ \| '_ \
# | |_| | (_| | |_| \__ \__ \ | (_| | | | | | (_| | | _| _| |_| \__ \ | (_) | | | |
# \____|\__,_|\__,_|___/___/_|\__,_|_| |_| \__,_|_|_| |_| \__,_|___/_|\___/|_| |_|
#
def extract(a, t, x_shape):
b, *_ = t.shape
out = a.gather(-1, t)
return out.reshape(b, *((1,) * (len(x_shape) - 1)))
def noise_like(shape, device, repeat=False):
repeat_noise = lambda: torch.randn((1, *shape[1:]), device=device).repeat(shape[0], *((1,) * (len(shape) - 1)))
noise = lambda: torch.randn(shape, device=device)
return repeat_noise() if repeat else noise()
def cosine_beta_schedule(timesteps, s = 0.008):
"""
cosine schedule
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
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)
class GaussianDiffusion(nn.Module):
def __init__(
self,
denoise_fn,
*,
image_size = 256,
channels = 3,
timesteps = 1000,
loss_type = 'l1',
betas = None
):
super().__init__()
self.channels = channels
self.image_size = image_size
self.denoise_fn = denoise_fn
if betas is not None:
betas = betas.detach().cpu().numpy() if isinstance(betas, torch.Tensor) else betas
else:
betas = cosine_beta_schedule(timesteps)
alphas = 1. - betas
alphas_cumprod = np.cumprod(alphas, axis=0)
alphas_cumprod_prev = np.append(1., alphas_cumprod[:-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))
# 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)))
# 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))
# 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)))
def q_mean_variance(self, x_start, t):
mean = extract(self.sqrt_alphas_cumprod, t, x_start.shape) * x_start
variance = extract(1. - self.alphas_cumprod, t, x_start.shape)
log_variance = extract(self.log_one_minus_alphas_cumprod, t, x_start.shape)
return mean, variance, log_variance
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):
x_recon = self.predict_start_from_noise(x, t=t, noise=self.denoise_fn(x, t))
if clip_denoised:
x_recon.clamp_(-1., 1.)
model_mean, posterior_variance, posterior_log_variance = self.q_posterior(x_start=x_recon, 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, repeat_noise=False):
b, *_, device = *x.shape, x.device
model_mean, _, model_log_variance = self.p_mean_variance(x=x, t=t, clip_denoised=clip_denoised)
noise = noise_like(x.shape, device, repeat_noise)
# 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))
return img
@torch.no_grad()
def sample(self, image_size, 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
@torch.no_grad()
def q_then_p(self, x_start, t, batch_size=16, mask=None):
device = self.betas.device
if mask is not None:
mask = torch.stack([mask] * batch_size)
x_start = torch.where(mask == True, torch.tensor(-1.0).to("cuda"), x_start)
if t == 1000:
zs = torch.randn(x_start.shape, device=device)
else:
zs = self.q_sample(x_start, torch.tensor([t] * batch_size).to(device))
ps = zs
for i in tqdm(reversed(range(0, t)), desc='domain transfer time step', total=t):
if mask is not None:
zs = self.q_sample(x_start, torch.tensor([i] * batch_size).to(device))
ps = torch.where(mask == False, zs, ps)
ps = self.p_sample(ps, torch.full((batch_size,), i, device=device, dtype=torch.long))
#if mask is not None:
# ps = self.p_sample(ps, torch.full((batch_size,), i, device=device, dtype=torch.long))
# ps = torch.where(mask == False, x_start, ps)
return ps
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
)
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_noisy = self.q_sample(x_start=x_start, t=t, noise=noise)
x_recon = self.denoise_fn(x_noisy, t)
if self.loss_type == 'l1':
loss = (noise - x_recon).abs().mean()
elif self.loss_type == 'l2':
loss = F.mse_loss(noise, x_recon)
else:
raise NotImplementedError()
return loss
def forward(self, x, *args, **kwargs):
b, c, h, w, device = *x.shape, x.device
t = torch.randint(0, self.num_timesteps, (b,), device=device).long()
return self.p_losses(x, t, *args, **kwargs)
# ____ _ _ _
# | _ \ __ _| |_ __ _ ___ ___| |_ ___| | __ _ ___ ___
# | | | |/ _` | __/ _` / __|/ _ \ __| / __| |/ _` / __/ __|
# | |_| | (_| | || (_| \__ \ __/ |_ | (__| | (_| \__ \__ \
# |____/ \__,_|\__\__,_|___/\___|\__| \___|_|\__,_|___/___/
#
class Galaxies(data.Dataset):
def __init__(self, folder, image_size, minmaxnorms=(0, 5.5)):
super().__init__()
self.folder = folder
self.image_size = image_size
self.paths = list(Path(f'{folder}').glob(f'**/*.npy'))
self.min_ = minmaxnorms[0]
self.max_ = minmaxnorms[1]
def __len__(self):
return len(self.paths)
def __getitem__(self, index):
path = self.paths[index]
img = np.load(path)
img = np.clip(img, self.min_, self.max_)
img = 2*(img - self.min_)/(self.max_ - self.min_) - 1 # A min max norm for all maxima == 5 and minima == 0.0 gals
if np.random.rand() > 0.5:
img = np.flip(img, axis=1)
if np.random.rand() > 0.5:
img = np.flip(img, axis=2)
img = img.copy()
return torch.tensor(img)
# _____ _ _
# |_ _| __ __ _(_)_ __ ___ _ __ ___| | __ _ ___ ___
# | || '__/ _` | | '_ \ / _ \ '__| / __| |/ _` / __/ __|
# | || | | (_| | | | | | __/ | | (__| | (_| \__ \__ \
# |_||_| \__,_|_|_| |_|\___|_| \___|_|\__,_|___/___/
#
class Trainer(object):
def __init__(
self,
diffusion_model,
folder,
*,
ema_decay = 0.995,
image_size = 256,
train_batch_size = 32,
train_lr = 2e-5,
train_num_steps = 100000,
gradient_accumulate_every = 2,
fp16 = False,
step_start_ema = 2000,
update_ema_every = 10,
rank = [0, 1, 2],
num_workers = 128,
save_every = 5000,
sample_every = 5000,
logdir = './logs',
):
super().__init__()
self.model = torch.nn.DataParallel(diffusion_model, device_ids=rank)
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_every = save_every
self.sample_every = sample_every
self.batch_size = train_batch_size
self.image_size = image_size
self.gradient_accumulate_every = gradient_accumulate_every
self.train_num_steps = train_num_steps
self.logdir = Path(logdir)
self.logdir.mkdir(exist_ok = True)
self.ds = Galaxies(folder, image_size, minmaxnorms=(0, 5.5))
self.dl = cycle(data.DataLoader(self.ds, batch_size = train_batch_size, shuffle=True, num_workers=num_workers))
self.opt = Adam(diffusion_model.parameters(), lr=train_lr)
self.step = 0
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()
}
torch.save(data, str(self.logdir / f'{milestone:08d}-model.pt'))
def load(self, milestone):
data = torch.load(str(self.logdir / f'{milestone:08d}-model.pt'))
self.step = data['step']
self.model.load_state_dict(data['model'])
self.ema_model.load_state_dict(data['ema'])
def train(self):
t1 = time()
while self.step < self.train_num_steps:
for i in range(self.gradient_accumulate_every):
data = next(self.dl).to(device=DEVICE)
while torch.any(~torch.isfinite(data)):
print("NAN DETECTED!!")
data = next(self.dl).to(device=DEVICE)
loss = self.model(data).sum()
t0 = time()
print(f'{self.step}: {loss.item()}, delta_t: {t0 - t1:.03f}')
t1 = time()
with open(str(self.logdir / 'loss.txt'), 'a') as df:
df.write(f'{self.step},{loss.item()}\n')
(loss / self.gradient_accumulate_every).backward()
self.opt.step()
self.opt.zero_grad()
if self.step % self.update_ema_every == 0:
self.step_ema()
if self.step % self.sample_every == 0:
batches = num_to_groups(18, self.batch_size)
all_images_list = list(map(lambda n: self.ema_model.module.sample(self.image_size, batch_size=n), batches))
all_images = torch.cat(all_images_list, dim=0)
all_images = torch.flip(all_images, dims=[1]) # map channels correctly for imout
all_images = all_images + 1
all_images = list(map(lambda x: (x - x.min())/(x.max() - x.min()), all_images))
utils.save_image(all_images, str(self.logdir / f'{self.step:08d}-sample.jpg'), nrow=6)
if self.step != 0 and self.step % self.save_every == 0:
self.save(self.step)
self.step += 1
print('training completed')