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5 changed files with 38 additions and 241 deletions
-14
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@@ -8,12 +8,8 @@ This implementation was transcribed from the official Tensorflow version <a href
Youtube AI Educators - <a href="https://www.youtube.com/watch?v=W-O7AZNzbzQ">Yannic Kilcher</a> | <a href="https://www.youtube.com/watch?v=344w5h24-h8">AI Coffeebreak with Letitia</a> | <a href="https://www.youtube.com/watch?v=HoKDTa5jHvg">Outlier</a>
<a href="https://github.com/yiyixuxu/denoising-diffusion-flax">Flax implementation</a> from <a href="https://github.com/yiyixuxu">YiYi Xu</a>
<a href="https://huggingface.co/blog/annotated-diffusion">Annotated code</a> by Research Scientists / Engineers from <a href="https://huggingface.co/">🤗 Huggingface</a>
Update: Turns out none of the technicalities really matters at all | <a href="https://arxiv.org/abs/2208.09392">"Cold Diffusion" paper</a>
<img src="./images/sample.png" width="500px"><img>
[![PyPI version](https://badge.fury.io/py/denoising-diffusion-pytorch.svg)](https://badge.fury.io/py/denoising-diffusion-pytorch)
@@ -195,13 +191,3 @@ $ accelerate launch train.py
volume = {abs/1903.10520}
}
```
```bibtex
@article{Salimans2022ProgressiveDF,
title = {Progressive Distillation for Fast Sampling of Diffusion Models},
author = {Tim Salimans and Jonathan Ho},
journal = {ArXiv},
year = {2022},
volume = {abs/2202.00512}
}
```
-1
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@@ -4,4 +4,3 @@ from denoising_diffusion_pytorch.learned_gaussian_diffusion import LearnedGaussi
from denoising_diffusion_pytorch.continuous_time_gaussian_diffusion import ContinuousTimeGaussianDiffusion
from denoising_diffusion_pytorch.weighted_objective_gaussian_diffusion import WeightedObjectiveGaussianDiffusion
from denoising_diffusion_pytorch.elucidated_diffusion import ElucidatedDiffusion
from denoising_diffusion_pytorch.v_param_continuous_time_gaussian_diffusion import VParamContinuousTimeGaussianDiffusion
@@ -37,9 +37,6 @@ def default(val, d):
return val
return d() if callable(d) else d
def identity(t, *args, **kwargs):
return t
def cycle(dl):
while True:
for data in dl:
@@ -56,11 +53,14 @@ def num_to_groups(num, divisor):
arr.append(remainder)
return arr
def convert_image_to_fn(img_type, image):
def convert_image_to(img_type, image):
if image.mode != img_type:
return image.convert(img_type)
return image
def l2norm(t):
return F.normalize(t, dim = -1)
# normalization functions
def normalize_to_neg_one_to_one(img):
@@ -97,11 +97,16 @@ class WeightStandardizedConv2d(nn.Conv2d):
eps = 1e-5 if x.dtype == torch.float32 else 1e-3
weight = self.weight
mean = reduce(weight, 'o ... -> o 1 1 1', 'mean')
var = reduce(weight, 'o ... -> o 1 1 1', partial(torch.var, unbiased = False))
normalized_weight = (weight - mean) * (var + eps).rsqrt()
flattened_weights = rearrange(weight, 'o ... -> o (...)')
return F.conv2d(x, normalized_weight, self.bias, self.stride, self.padding, self.dilation, self.groups)
mean = reduce(weight, 'o ... -> o 1 1 1', 'mean')
var = torch.var(flattened_weights, dim = -1, unbiased = False)
var = rearrange(var, 'o -> o 1 1 1')
weight = (weight - mean) * (var + eps).rsqrt()
return F.conv2d(x, weight, self.bias, self.stride, self.padding, self.dilation, self.groups)
class LayerNorm(nn.Module):
def __init__(self, dim):
@@ -234,12 +239,11 @@ class LinearAttention(nn.Module):
return self.to_out(out)
class Attention(nn.Module):
def __init__(self, dim, heads = 4, dim_head = 32):
def __init__(self, dim, heads = 4, dim_head = 32, scale = 10):
super().__init__()
self.scale = dim_head ** -0.5
self.scale = scale
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)
@@ -248,12 +252,11 @@ class Attention(nn.Module):
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
q, k = map(l2norm, (q, k))
sim = einsum('b h d i, b h d j -> b h i j', q, k)
sim = einsum('b h d i, b h d j -> b h i j', q, k) * self.scale
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)
@@ -429,7 +432,6 @@ class GaussianDiffusion(nn.Module):
):
super().__init__()
assert not (type(self) == GaussianDiffusion and model.channels != model.out_dim)
assert not model.learned_sinusoidal_cond
self.model = model
self.channels = self.model.channels
@@ -449,7 +451,7 @@ class GaussianDiffusion(nn.Module):
raise ValueError(f'unknown beta schedule {beta_schedule}')
alphas = 1. - betas
alphas_cumprod = torch.cumprod(alphas, dim=0)
alphas_cumprod = torch.cumprod(alphas, axis=0)
alphas_cumprod_prev = F.pad(alphas_cumprod[:-1], (1, 0), value = 1.)
timesteps, = betas.shape
@@ -519,19 +521,16 @@ class GaussianDiffusion(nn.Module):
posterior_log_variance_clipped = extract(self.posterior_log_variance_clipped, t, x_t.shape)
return posterior_mean, posterior_variance, posterior_log_variance_clipped
def model_predictions(self, x, t, x_self_cond = None, clip_x_start = False):
def model_predictions(self, x, t, x_self_cond = None):
model_output = self.model(x, t, x_self_cond)
maybe_clip = partial(torch.clamp, min = -1., max = 1.) if clip_x_start else identity
if self.objective == 'pred_noise':
pred_noise = model_output
x_start = self.predict_start_from_noise(x, t, pred_noise)
x_start = maybe_clip(x_start)
x_start = self.predict_start_from_noise(x, t, model_output)
elif self.objective == 'pred_x0':
pred_noise = self.predict_noise_from_start(x, t, model_output)
x_start = model_output
x_start = maybe_clip(x_start)
pred_noise = self.predict_noise_from_start(x, t, x_start)
return ModelPrediction(pred_noise, x_start)
@@ -573,30 +572,31 @@ class GaussianDiffusion(nn.Module):
def ddim_sample(self, shape, clip_denoised = True):
batch, device, total_timesteps, sampling_timesteps, eta, objective = shape[0], self.betas.device, self.num_timesteps, self.sampling_timesteps, self.ddim_sampling_eta, self.objective
times = torch.linspace(-1, total_timesteps - 1, steps=sampling_timesteps + 1) # [-1, 0, 1, 2, ..., T-1] when sampling_timesteps == total_timesteps
times = torch.linspace(0., total_timesteps, steps = sampling_timesteps + 2)[:-1]
times = list(reversed(times.int().tolist()))
time_pairs = list(zip(times[:-1], times[1:])) # [(T-1, T-2), (T-2, T-3), ..., (1, 0), (0, -1)]
time_pairs = list(zip(times[:-1], times[1:]))
img = torch.randn(shape, device = device)
x_start = None
for time, time_next in tqdm(time_pairs, desc = 'sampling loop time step'):
time_cond = torch.full((batch,), time, device=device, dtype=torch.long)
alpha = self.alphas_cumprod_prev[time]
alpha_next = self.alphas_cumprod_prev[time_next]
time_cond = torch.full((batch,), time, device = device, dtype = torch.long)
self_cond = x_start if self.self_condition else None
pred_noise, x_start, *_ = self.model_predictions(img, time_cond, self_cond, clip_x_start = clip_denoised)
if time_next < 0:
img = x_start
continue
pred_noise, x_start, *_ = self.model_predictions(img, time_cond, self_cond)
alpha = self.alphas_cumprod[time]
alpha_next = self.alphas_cumprod[time_next]
if clip_denoised:
x_start.clamp_(-1., 1.)
sigma = eta * ((1 - alpha / alpha_next) * (1 - alpha_next) / (1 - alpha)).sqrt()
c = (1 - alpha_next - sigma ** 2).sqrt()
c = ((1 - alpha_next) - sigma ** 2).sqrt()
noise = torch.randn_like(img)
noise = torch.randn_like(img) if time_next > 0 else 0.
img = x_start * alpha_next.sqrt() + \
c * pred_noise + \
@@ -703,7 +703,7 @@ class Dataset(Dataset):
self.image_size = image_size
self.paths = [p for ext in exts for p in Path(f'{folder}').glob(f'**/*.{ext}')]
maybe_convert_fn = partial(convert_image_to_fn, convert_image_to) if exists(convert_image_to) else nn.Identity()
maybe_convert_fn = partial(convert_image_to, convert_image_to) if exists(convert_image_to) else nn.Identity()
self.transform = T.Compose([
T.Lambda(maybe_convert_fn),
@@ -809,10 +809,7 @@ class Trainer(object):
torch.save(data, str(self.results_folder / f'model-{milestone}.pt'))
def load(self, milestone):
accelerator = self.accelerator
device = accelerator.device
data = torch.load(str(self.results_folder / f'model-{milestone}.pt'), map_location=device)
data = torch.load(str(self.results_folder / f'model-{milestone}.pt'))
model = self.accelerator.unwrap_model(self.model)
model.load_state_dict(data['model'])
@@ -844,7 +841,6 @@ class Trainer(object):
self.accelerator.backward(loss)
accelerator.clip_grad_norm_(self.model.parameters(), 1.0)
pbar.set_description(f'loss: {total_loss:.4f}')
accelerator.wait_for_everyone()
@@ -854,7 +850,6 @@ class Trainer(object):
accelerator.wait_for_everyone()
self.step += 1
if accelerator.is_main_process:
self.ema.to(device)
self.ema.update()
@@ -871,6 +866,7 @@ class Trainer(object):
utils.save_image(all_images, str(self.results_folder / f'sample-{milestone}.png'), nrow = int(math.sqrt(self.num_samples)))
self.save(milestone)
self.step += 1
pbar.update(1)
accelerator.print('training complete')
@@ -1,184 +0,0 @@
import math
import torch
from torch import sqrt
from torch import nn, einsum
import torch.nn.functional as F
from torch.special import expm1
from tqdm import tqdm
from einops import rearrange, repeat, reduce
from einops.layers.torch import Rearrange
# helpers
def exists(val):
return val is not None
def default(val, d):
if exists(val):
return val
return d() if callable(d) else d
# normalization functions
def normalize_to_neg_one_to_one(img):
return img * 2 - 1
def unnormalize_to_zero_to_one(t):
return (t + 1) * 0.5
# diffusion helpers
def right_pad_dims_to(x, t):
padding_dims = x.ndim - t.ndim
if padding_dims <= 0:
return t
return t.view(*t.shape, *((1,) * padding_dims))
# continuous schedules
# log(snr) that approximates the original linear schedule
def log(t, eps = 1e-20):
return torch.log(t.clamp(min = eps))
def alpha_cosine_log_snr(t, s = 0.008):
return -log((torch.cos((t + s) / (1 + s) * math.pi * 0.5) ** -2) - 1, eps = 1e-5)
class VParamContinuousTimeGaussianDiffusion(nn.Module):
"""
a new type of parameterization in v-space proposed in https://arxiv.org/abs/2202.00512 that
(1) allows for improved distillation over noise prediction objective and
(2) noted in imagen-video to improve upsampling unets by removing the color shifting artifacts
"""
def __init__(
self,
model,
*,
image_size,
channels = 3,
num_sample_steps = 500,
clip_sample_denoised = True,
):
super().__init__()
assert model.learned_sinusoidal_cond
assert not model.self_condition, 'not supported yet'
self.model = model
# image dimensions
self.channels = channels
self.image_size = image_size
# continuous noise schedule related stuff
self.log_snr = alpha_cosine_log_snr
# sampling
self.num_sample_steps = num_sample_steps
self.clip_sample_denoised = clip_sample_denoised
@property
def device(self):
return next(self.model.parameters()).device
def p_mean_variance(self, x, time, time_next):
# reviewer found an error in the equation in the paper (missing sigma)
# following - https://openreview.net/forum?id=2LdBqxc1Yv&noteId=rIQgH0zKsRt
log_snr = self.log_snr(time)
log_snr_next = self.log_snr(time_next)
c = -expm1(log_snr - log_snr_next)
squared_alpha, squared_alpha_next = log_snr.sigmoid(), log_snr_next.sigmoid()
squared_sigma, squared_sigma_next = (-log_snr).sigmoid(), (-log_snr_next).sigmoid()
alpha, sigma, alpha_next = map(sqrt, (squared_alpha, squared_sigma, squared_alpha_next))
batch_log_snr = repeat(log_snr, ' -> b', b = x.shape[0])
pred_v = self.model(x, batch_log_snr)
# shown in Appendix D in the paper
x_start = alpha * x - sigma * pred_v
if self.clip_sample_denoised:
x_start.clamp_(-1., 1.)
model_mean = alpha_next * (x * (1 - c) / alpha + c * x_start)
posterior_variance = squared_sigma_next * c
return model_mean, posterior_variance
# sampling related functions
@torch.no_grad()
def p_sample(self, x, time, time_next):
batch, *_, device = *x.shape, x.device
model_mean, model_variance = self.p_mean_variance(x = x, time = time, time_next = time_next)
if time_next == 0:
return model_mean
noise = torch.randn_like(x)
return model_mean + sqrt(model_variance) * noise
@torch.no_grad()
def p_sample_loop(self, shape):
batch = shape[0]
img = torch.randn(shape, device = self.device)
steps = torch.linspace(1., 0., self.num_sample_steps + 1, device = self.device)
for i in tqdm(range(self.num_sample_steps), desc = 'sampling loop time step', total = self.num_sample_steps):
times = steps[i]
times_next = steps[i + 1]
img = self.p_sample(img, times, times_next)
img.clamp_(-1., 1.)
img = unnormalize_to_zero_to_one(img)
return img
@torch.no_grad()
def sample(self, batch_size = 16):
return self.p_sample_loop((batch_size, self.channels, self.image_size, self.image_size))
# training related functions - noise prediction
def q_sample(self, x_start, times, noise = None):
noise = default(noise, lambda: torch.randn_like(x_start))
log_snr = self.log_snr(times)
log_snr_padded = right_pad_dims_to(x_start, log_snr)
alpha, sigma = sqrt(log_snr_padded.sigmoid()), sqrt((-log_snr_padded).sigmoid())
x_noised = x_start * alpha + noise * sigma
return x_noised, log_snr, alpha, sigma
def random_times(self, batch_size):
return torch.zeros((batch_size,), device = self.device).float().uniform_(0, 1)
def p_losses(self, x_start, times, noise = None):
noise = default(noise, lambda: torch.randn_like(x_start))
x, log_snr, alpha, sigma = self.q_sample(x_start = x_start, times = times, noise = noise)
# described in section 4 as the prediction objective, with derivation in Appendix D
v = alpha * noise - sigma * x_start
model_out = self.model(x, log_snr)
return F.mse_loss(model_out, v)
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}'
times = self.random_times(b)
img = normalize_to_neg_one_to_one(img)
return self.p_losses(img, times, *args, **kwargs)
+2 -2
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@@ -3,7 +3,7 @@ from setuptools import setup, find_packages
setup(
name = 'denoising-diffusion-pytorch',
packages = find_packages(),
version = '0.29.0',
version = '0.27.3',
license='MIT',
description = 'Denoising Diffusion Probabilistic Models - Pytorch',
author = 'Phil Wang',
@@ -30,4 +30,4 @@ setup(
'License :: OSI Approved :: MIT License',
'Programming Language :: Python :: 3.6',
],
)
)