Upload diffusion.py with huggingface_hub
Browse files- diffusion.py +322 -0
diffusion.py
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| 1 |
+
"""E3Diff Gaussian Diffusion - exact copy from original with fixed imports."""
|
| 2 |
+
|
| 3 |
+
import math
|
| 4 |
+
import torch
|
| 5 |
+
from torch import nn
|
| 6 |
+
import torch.nn.functional as F
|
| 7 |
+
from inspect import isfunction
|
| 8 |
+
from functools import partial
|
| 9 |
+
import numpy as np
|
| 10 |
+
|
| 11 |
+
|
| 12 |
+
def _warmup_beta(linear_start, linear_end, n_timestep, warmup_frac):
|
| 13 |
+
betas = linear_end * np.ones(n_timestep, dtype=np.float64)
|
| 14 |
+
warmup_time = int(n_timestep * warmup_frac)
|
| 15 |
+
betas[:warmup_time] = np.linspace(
|
| 16 |
+
linear_start, linear_end, warmup_time, dtype=np.float64)
|
| 17 |
+
return betas
|
| 18 |
+
|
| 19 |
+
|
| 20 |
+
def make_beta_schedule(schedule, n_timestep, linear_start=1e-4, linear_end=2e-2, cosine_s=8e-3):
|
| 21 |
+
if schedule == 'quad':
|
| 22 |
+
betas = np.linspace(linear_start ** 0.5, linear_end ** 0.5,
|
| 23 |
+
n_timestep, dtype=np.float64) ** 2
|
| 24 |
+
elif schedule == 'linear':
|
| 25 |
+
betas = np.linspace(linear_start, linear_end,
|
| 26 |
+
n_timestep, dtype=np.float64)
|
| 27 |
+
elif schedule == 'warmup10':
|
| 28 |
+
betas = _warmup_beta(linear_start, linear_end, n_timestep, 0.1)
|
| 29 |
+
elif schedule == 'warmup50':
|
| 30 |
+
betas = _warmup_beta(linear_start, linear_end, n_timestep, 0.5)
|
| 31 |
+
elif schedule == 'const':
|
| 32 |
+
betas = linear_end * np.ones(n_timestep, dtype=np.float64)
|
| 33 |
+
elif schedule == 'jsd':
|
| 34 |
+
betas = 1. / np.linspace(n_timestep, 1, n_timestep, dtype=np.float64)
|
| 35 |
+
elif schedule == "cosine":
|
| 36 |
+
timesteps = (
|
| 37 |
+
torch.arange(n_timestep + 1, dtype=torch.float64) /
|
| 38 |
+
n_timestep + cosine_s
|
| 39 |
+
)
|
| 40 |
+
alphas = timesteps / (1 + cosine_s) * math.pi / 2
|
| 41 |
+
alphas = torch.cos(alphas).pow(2)
|
| 42 |
+
alphas = alphas / alphas[0]
|
| 43 |
+
betas = 1 - alphas[1:] / alphas[:-1]
|
| 44 |
+
betas = betas.clamp(max=0.999)
|
| 45 |
+
else:
|
| 46 |
+
raise NotImplementedError(schedule)
|
| 47 |
+
return betas
|
| 48 |
+
|
| 49 |
+
|
| 50 |
+
def exists(x):
|
| 51 |
+
return x is not None
|
| 52 |
+
|
| 53 |
+
|
| 54 |
+
def default(val, d):
|
| 55 |
+
if exists(val):
|
| 56 |
+
return val
|
| 57 |
+
return d() if isfunction(d) else d
|
| 58 |
+
|
| 59 |
+
|
| 60 |
+
class GaussianDiffusion(nn.Module):
|
| 61 |
+
def __init__(
|
| 62 |
+
self,
|
| 63 |
+
denoise_fn,
|
| 64 |
+
image_size,
|
| 65 |
+
channels=3,
|
| 66 |
+
loss_type='l1',
|
| 67 |
+
conditional=True,
|
| 68 |
+
schedule_opt=None,
|
| 69 |
+
xT_noise_r=0.1,
|
| 70 |
+
seed=1,
|
| 71 |
+
opt=None
|
| 72 |
+
):
|
| 73 |
+
super().__init__()
|
| 74 |
+
self.lq_noiselevel_val = schedule_opt["lq_noiselevel"]
|
| 75 |
+
self.opt = opt
|
| 76 |
+
self.channels = channels
|
| 77 |
+
self.image_size = image_size
|
| 78 |
+
self.denoise_fn = denoise_fn
|
| 79 |
+
self.loss_type = loss_type
|
| 80 |
+
self.conditional = conditional
|
| 81 |
+
self.ddim = schedule_opt['ddim']
|
| 82 |
+
self.xT_noise_r = xT_noise_r
|
| 83 |
+
self.seed = seed
|
| 84 |
+
|
| 85 |
+
def set_loss(self, device):
|
| 86 |
+
if self.loss_type == 'l1':
|
| 87 |
+
self.loss_func = nn.L1Loss(reduction='sum').to(device)
|
| 88 |
+
elif self.loss_type == 'l2':
|
| 89 |
+
self.loss_func = nn.MSELoss(reduction='sum').to(device)
|
| 90 |
+
else:
|
| 91 |
+
raise NotImplementedError()
|
| 92 |
+
|
| 93 |
+
def set_new_noise_schedule(self, schedule_opt, device, num_train_timesteps=1000):
|
| 94 |
+
self.ddim = schedule_opt['ddim']
|
| 95 |
+
self.num_train_timesteps = num_train_timesteps
|
| 96 |
+
to_torch = partial(torch.tensor, dtype=torch.float32, device=device)
|
| 97 |
+
|
| 98 |
+
betas = make_beta_schedule(
|
| 99 |
+
schedule=schedule_opt['schedule'],
|
| 100 |
+
n_timestep=num_train_timesteps,
|
| 101 |
+
linear_start=schedule_opt['linear_start'],
|
| 102 |
+
linear_end=schedule_opt['linear_end'])
|
| 103 |
+
betas = betas.detach().cpu().numpy() if isinstance(
|
| 104 |
+
betas, torch.Tensor) else betas
|
| 105 |
+
alphas = 1. - betas
|
| 106 |
+
alphas_cumprod = np.cumprod(alphas, axis=0)
|
| 107 |
+
alphas_cumprod_prev = np.append(1., alphas_cumprod[:-1])
|
| 108 |
+
self.sqrt_alphas_cumprod_prev = np.sqrt(
|
| 109 |
+
np.append(1., alphas_cumprod))
|
| 110 |
+
|
| 111 |
+
timesteps, = betas.shape
|
| 112 |
+
self.num_timesteps = int(timesteps)
|
| 113 |
+
self.register_buffer('betas', to_torch(betas))
|
| 114 |
+
self.register_buffer('alphas_cumprod', to_torch(alphas_cumprod))
|
| 115 |
+
self.register_buffer('alphas_cumprod_prev', to_torch(alphas_cumprod_prev))
|
| 116 |
+
|
| 117 |
+
# calculations for diffusion q(x_t | x_{t-1}) and others
|
| 118 |
+
self.register_buffer('sqrt_alphas_cumprod', to_torch(np.sqrt(alphas_cumprod)))
|
| 119 |
+
self.register_buffer('sqrt_one_minus_alphas_cumprod', to_torch(np.sqrt(1. - alphas_cumprod)))
|
| 120 |
+
self.register_buffer('log_one_minus_alphas_cumprod', to_torch(np.log(1. - alphas_cumprod)))
|
| 121 |
+
self.register_buffer('sqrt_recip_alphas_cumprod', to_torch(np.sqrt(1. / alphas_cumprod)))
|
| 122 |
+
self.register_buffer('sqrt_recipm1_alphas_cumprod', to_torch(np.sqrt(1. / alphas_cumprod - 1)))
|
| 123 |
+
|
| 124 |
+
# calculations for posterior q(x_{t-1} | x_t, x_0)
|
| 125 |
+
posterior_variance = betas * (1. - alphas_cumprod_prev) / (1. - alphas_cumprod)
|
| 126 |
+
self.register_buffer('posterior_variance', to_torch(posterior_variance))
|
| 127 |
+
self.register_buffer('posterior_log_variance_clipped', to_torch(
|
| 128 |
+
np.log(np.maximum(posterior_variance, 1e-20))))
|
| 129 |
+
self.register_buffer('posterior_mean_coef1', to_torch(
|
| 130 |
+
betas * np.sqrt(alphas_cumprod_prev) / (1. - alphas_cumprod)))
|
| 131 |
+
self.register_buffer('posterior_mean_coef2', to_torch(
|
| 132 |
+
(1. - alphas_cumprod_prev) * np.sqrt(alphas) / (1. - alphas_cumprod)))
|
| 133 |
+
|
| 134 |
+
self.schedule_type = schedule_opt['schedule']
|
| 135 |
+
if self.ddim > 0:
|
| 136 |
+
self.ddim_num_steps = schedule_opt['n_timestep']
|
| 137 |
+
|
| 138 |
+
def predict_start_from_noise(self, x_t, t, noise):
|
| 139 |
+
return self.sqrt_recip_alphas_cumprod[t] * x_t - \
|
| 140 |
+
self.sqrt_recipm1_alphas_cumprod[t] * noise
|
| 141 |
+
|
| 142 |
+
def q_posterior(self, x_start, x_t, t):
|
| 143 |
+
posterior_mean = self.posterior_mean_coef1[t] * \
|
| 144 |
+
x_start + self.posterior_mean_coef2[t] * x_t
|
| 145 |
+
posterior_log_variance_clipped = self.posterior_log_variance_clipped[t]
|
| 146 |
+
return posterior_mean, posterior_log_variance_clipped
|
| 147 |
+
|
| 148 |
+
def p_mean_variance(self, x, t, clip_denoised: bool, condition_x=None):
|
| 149 |
+
batch_size = x.shape[0]
|
| 150 |
+
noise_level = torch.FloatTensor(
|
| 151 |
+
[self.sqrt_alphas_cumprod_prev[t+1]]).repeat(batch_size, 1).to(x.device)
|
| 152 |
+
if condition_x is not None:
|
| 153 |
+
x_recon = self.predict_start_from_noise(
|
| 154 |
+
x, t=t, noise=self.denoise_fn(torch.cat([condition_x, x], dim=1), noise_level, t))
|
| 155 |
+
else:
|
| 156 |
+
x_recon = self.predict_start_from_noise(
|
| 157 |
+
x, t=t, noise=self.denoise_fn(x, noise_level))
|
| 158 |
+
|
| 159 |
+
if clip_denoised:
|
| 160 |
+
x_recon.clamp_(-1., 1.)
|
| 161 |
+
|
| 162 |
+
model_mean, posterior_log_variance = self.q_posterior(
|
| 163 |
+
x_start=x_recon, x_t=x, t=t)
|
| 164 |
+
return model_mean, posterior_log_variance, x_recon
|
| 165 |
+
|
| 166 |
+
def ddim_sample(self, condition_x, img_or_shape, device, seed=1, img_s1=None):
|
| 167 |
+
if self.schedule_type == 'linear':
|
| 168 |
+
self.ddim_sampling_eta = 0.8
|
| 169 |
+
simple_var = False
|
| 170 |
+
threshold_x = False
|
| 171 |
+
elif self.schedule_type == 'cosine':
|
| 172 |
+
self.ddim_sampling_eta = 0.8
|
| 173 |
+
simple_var = False
|
| 174 |
+
threshold_x = False
|
| 175 |
+
|
| 176 |
+
batch, total_timesteps, sampling_timesteps, eta = \
|
| 177 |
+
img_or_shape[0], self.num_train_timesteps, \
|
| 178 |
+
self.ddim_num_steps, self.ddim_sampling_eta
|
| 179 |
+
|
| 180 |
+
noisy_img_s1 = None
|
| 181 |
+
|
| 182 |
+
if simple_var:
|
| 183 |
+
eta = 1
|
| 184 |
+
ts = torch.linspace(total_timesteps, 0, (sampling_timesteps + 1)).to(device).to(torch.long)
|
| 185 |
+
|
| 186 |
+
x = torch.randn(img_or_shape).to(device)
|
| 187 |
+
batch_size = x.shape[0]
|
| 188 |
+
imgs = [x]
|
| 189 |
+
img_onestep = [condition_x[:, :self.channels, ...]]
|
| 190 |
+
|
| 191 |
+
tbar = range(1, sampling_timesteps + 1)
|
| 192 |
+
for i in tbar:
|
| 193 |
+
cur_t = ts[i - 1] - 1
|
| 194 |
+
prev_t = ts[i] - 1
|
| 195 |
+
noise_level = torch.FloatTensor(
|
| 196 |
+
[self.sqrt_alphas_cumprod_prev[cur_t]]).repeat(batch_size, 1).to(x.device)
|
| 197 |
+
|
| 198 |
+
alpha_prod_t = self.alphas_cumprod[cur_t]
|
| 199 |
+
alpha_prod_t_prev = self.alphas_cumprod[prev_t] if prev_t >= 0 else 1
|
| 200 |
+
beta_prod_t = 1 - alpha_prod_t
|
| 201 |
+
|
| 202 |
+
# pred noise
|
| 203 |
+
model_output = self.denoise_fn(torch.cat([condition_x, x], dim=1), noise_level)
|
| 204 |
+
|
| 205 |
+
sigma_2 = eta * (1 - alpha_prod_t_prev) / (1 - alpha_prod_t) * (1 - alpha_prod_t / alpha_prod_t_prev)
|
| 206 |
+
noise = torch.randn_like(x)
|
| 207 |
+
|
| 208 |
+
pred_original_sample = (x - beta_prod_t ** (0.5) * model_output) / alpha_prod_t ** (0.5)
|
| 209 |
+
|
| 210 |
+
if threshold_x:
|
| 211 |
+
pred_original_sample = self._threshold_sample(pred_original_sample)
|
| 212 |
+
else:
|
| 213 |
+
pred_original_sample = pred_original_sample.clamp(-1, 1)
|
| 214 |
+
|
| 215 |
+
pred_sample_direction = (1 - alpha_prod_t_prev - sigma_2) ** (0.5) * model_output
|
| 216 |
+
|
| 217 |
+
if simple_var:
|
| 218 |
+
third_term = (1 - alpha_prod_t / alpha_prod_t_prev) ** 0.5 * noise
|
| 219 |
+
else:
|
| 220 |
+
third_term = sigma_2 ** 0.5 * noise
|
| 221 |
+
|
| 222 |
+
x = alpha_prod_t_prev ** (0.5) * pred_original_sample + pred_sample_direction + third_term
|
| 223 |
+
imgs.append(x)
|
| 224 |
+
img_onestep.append(pred_original_sample)
|
| 225 |
+
|
| 226 |
+
imgs = torch.concat(imgs, dim=0)
|
| 227 |
+
img_onestep = torch.concat(img_onestep, dim=0)
|
| 228 |
+
|
| 229 |
+
return imgs, img_onestep
|
| 230 |
+
|
| 231 |
+
@torch.no_grad()
|
| 232 |
+
def p_sample(self, x, t, clip_denoised=True, condition_x=None):
|
| 233 |
+
model_mean, model_log_variance, x_recon = self.p_mean_variance(
|
| 234 |
+
x=x, t=t, clip_denoised=clip_denoised, condition_x=condition_x)
|
| 235 |
+
noise = torch.randn_like(x) if t > 0 else torch.zeros_like(x)
|
| 236 |
+
return model_mean + noise * (0.5 * model_log_variance).exp(), x_recon
|
| 237 |
+
|
| 238 |
+
@torch.no_grad()
|
| 239 |
+
def p_sample_loop(self, x_in, continous=False, seed=1, img_s1=None):
|
| 240 |
+
device = self.betas.device
|
| 241 |
+
sample_inter = 1
|
| 242 |
+
|
| 243 |
+
if not self.conditional:
|
| 244 |
+
shape = x_in
|
| 245 |
+
img = torch.randn(shape, device=device)
|
| 246 |
+
ret_img = img
|
| 247 |
+
if not self.ddim:
|
| 248 |
+
for i in reversed(range(0, self.num_timesteps)):
|
| 249 |
+
img, x_recon = self.p_sample(img, i)
|
| 250 |
+
if i % sample_inter == 0:
|
| 251 |
+
ret_img = torch.cat([ret_img, img], dim=0)
|
| 252 |
+
else:
|
| 253 |
+
for i in range(0, len(self.ddim_timesteps)):
|
| 254 |
+
ddim_t = self.ddim_timesteps[i]
|
| 255 |
+
img = self.ddim_sample(img, ddim_t)
|
| 256 |
+
if i % sample_inter == 0:
|
| 257 |
+
ret_img = torch.cat([ret_img, img], dim=0)
|
| 258 |
+
else:
|
| 259 |
+
x = x_in
|
| 260 |
+
shape = (x.shape[0], self.channels, x.shape[-2], x.shape[-1])
|
| 261 |
+
|
| 262 |
+
if self.xT_noise_r > 0:
|
| 263 |
+
img0 = torch.randn(shape, device=device)
|
| 264 |
+
x_start = x_in[:, 0:1, ...]
|
| 265 |
+
continuous_sqrt_alpha_cumprod = torch.FloatTensor(
|
| 266 |
+
np.random.uniform(
|
| 267 |
+
self.sqrt_alphas_cumprod_prev[self.num_timesteps-1],
|
| 268 |
+
self.sqrt_alphas_cumprod_prev[self.num_timesteps],
|
| 269 |
+
size=x_start.shape[0]
|
| 270 |
+
)).to(x_start.device)
|
| 271 |
+
continuous_sqrt_alpha_cumprod = continuous_sqrt_alpha_cumprod.view(x_start.shape[0], -1)
|
| 272 |
+
|
| 273 |
+
noise = default(x_start, lambda: torch.randn_like(x_start))
|
| 274 |
+
img = self.q_sample(
|
| 275 |
+
x_start=x_start, continuous_sqrt_alpha_cumprod=continuous_sqrt_alpha_cumprod.view(-1, 1, 1, 1), noise=noise)
|
| 276 |
+
img = self.xT_noise_r * img + (1 - self.xT_noise_r) * img0
|
| 277 |
+
else:
|
| 278 |
+
img = torch.randn(shape, device=device)
|
| 279 |
+
|
| 280 |
+
ret_img = x
|
| 281 |
+
img_onestep = x
|
| 282 |
+
|
| 283 |
+
if self.opt['stage'] != 2:
|
| 284 |
+
if not self.ddim:
|
| 285 |
+
for i in reversed(range(0, self.num_timesteps)):
|
| 286 |
+
img, x_recon = self.p_sample(img, i, condition_x=x)
|
| 287 |
+
if i % sample_inter == 0:
|
| 288 |
+
ret_img = torch.cat([ret_img[:, :self.channels, ...], img], dim=0)
|
| 289 |
+
if i % sample_inter == 0 or i == self.num_timesteps - 1:
|
| 290 |
+
img_onestep = torch.cat([img_onestep[:, :self.channels, ...], x_recon], dim=0)
|
| 291 |
+
else:
|
| 292 |
+
ret_img, img_onestep = self.ddim_sample(condition_x=x, img_or_shape=shape, device=device, seed=seed, img_s1=img_s1)
|
| 293 |
+
|
| 294 |
+
if continous:
|
| 295 |
+
return ret_img, img_onestep
|
| 296 |
+
else:
|
| 297 |
+
return ret_img[-x_in.shape[0]:], img_onestep
|
| 298 |
+
else:
|
| 299 |
+
self.ddim_num_steps = self.opt['ddim_steps']
|
| 300 |
+
ret_img, img_onestep = self.ddim_sample(condition_x=x, img_or_shape=shape, device=device, seed=seed, img_s1=img_s1)
|
| 301 |
+
|
| 302 |
+
if continous:
|
| 303 |
+
return ret_img, img_onestep
|
| 304 |
+
else:
|
| 305 |
+
return ret_img[-x_in.shape[0]:], img_onestep
|
| 306 |
+
|
| 307 |
+
@torch.no_grad()
|
| 308 |
+
def sample(self, batch_size=1, continous=False):
|
| 309 |
+
image_size = self.image_size
|
| 310 |
+
channels = self.channels
|
| 311 |
+
return self.p_sample_loop((batch_size, channels, image_size, image_size), continous)
|
| 312 |
+
|
| 313 |
+
@torch.no_grad()
|
| 314 |
+
def super_resolution(self, x_in, continous=False, seed=1, img_s1=None):
|
| 315 |
+
return self.p_sample_loop(x_in, continous, seed=seed, img_s1=img_s1)
|
| 316 |
+
|
| 317 |
+
def q_sample(self, x_start, continuous_sqrt_alpha_cumprod, noise=None):
|
| 318 |
+
noise = default(noise, lambda: torch.randn_like(x_start))
|
| 319 |
+
return (
|
| 320 |
+
continuous_sqrt_alpha_cumprod * x_start +
|
| 321 |
+
(1 - continuous_sqrt_alpha_cumprod ** 2).sqrt() * noise
|
| 322 |
+
)
|