import torch import torch.nn as nn import numpy as np from tqdm import tqdm from PIL import Image from einops import rearrange import math class GaussianDiffusion: def __init__(self, model, noise_steps, beta_0, beta_T, image_size, channels=3, schedule="linear"): """ suggested betas for: * linear schedule: 1e-4, 0.02 model: the model to be trained (nn.Module) noise_steps: the number of steps to apply noise (int) beta_0: the initial value of beta (float) beta_T: the final value of beta (float) image_size: the size of the image (int, int) """ self.device = 'cpu' self.channels = channels self.model = model self.noise_steps = noise_steps self.beta_0 = beta_0 self.beta_T = beta_T self.image_size = image_size self.betas = self.beta_schedule(schedule=schedule) self.alphas = 1.0 - self.betas # cumulative product of alphas, so we can optimize forward process calculation self.alpha_hat = torch.cumprod(self.alphas, dim=0) def beta_schedule(self, schedule="cosine"): if schedule == "linear": return torch.linspace(self.beta_0, self.beta_T, self.noise_steps).to(self.device) elif schedule == "cosine": return self.betas_for_cosine(self.noise_steps) elif schedule == "sigmoid": return self.betas_for_sigmoid(self.noise_steps) @staticmethod def sigmoid(x): return 1 / (1 + np.exp(-x)) def betas_for_sigmoid(self, num_diffusion_timesteps, start=-3,end=3, tau=1.0, clip_min = 1e-9): betas = [] v_start = self.sigmoid(start/tau) v_end = self.sigmoid(end/tau) for t in range(num_diffusion_timesteps): t_float = float(t/num_diffusion_timesteps) output0 = self.sigmoid((t_float* (end-start)+start)/tau) output = (v_end-output0) / (v_end-v_start) betas.append(np.clip(output*.2, clip_min,.2)) return torch.flip(torch.tensor(betas).to(self.device),dims=[0]).float() def betas_for_cosine(self,num_steps,start=0,end=1,tau=1,clip_min=1e-9): v_start = math.cos(start*math.pi / 2) ** (2 * tau) betas = [] v_end = math.cos(end* math.pi/2) ** 2*tau for t in range(num_steps): t_float = float(t)/num_steps output = math.cos((t_float* (end-start)+start)*math.pi/2)**(2*tau) output = (v_end - output) / (v_end-v_start) betas.append(np.clip(output*.2,clip_min,.2)) return torch.flip(torch.tensor(betas).to(self.device),dims=[0]).float() def sample_time_steps(self, batch_size=1): return torch.randint(0, self.noise_steps, (batch_size,)).to(self.device) def to(self,device): self.device = device self.betas = self.betas.to(device) self.alphas = self.alphas.to(device) self.alpha_hat = self.alpha_hat.to(device) def q(self, x, t): """ Forward process """ pass def p(self, x, t): """ Backward process """ pass def apply_noise(self, x, t): # force x to be (batch_size, image_width, image_height, channels) if len(x.shape) == 3: x = x.unsqueeze(0) if type(t) == int: t = torch.tensor([t]) #print(f'Shape -> {x.shape}, len -> {len(x.shape)}') sqrt_alpha_hat = torch.sqrt(torch.tensor([self.alpha_hat[t_] for t_ in t]).to(self.device)) sqrt_one_minus_alpha_hat = torch.sqrt(torch.tensor([1.0 - self.alpha_hat[t_] for t_ in t]).to(self.device)) # standard normal distribution epsilon = torch.randn_like(x).to(self.device) # Eq 2. in DDPM paper #noisy_image = sqrt_alpha_hat * x + sqrt_one_minus_alpha_hat * epsilon """print(f''' Shape of x {x.shape} Shape of sqrt {sqrt_one_minus_alpha_hat.shape}''')""" try: #print(x.shape) #noisy_image = torch.einsum("b,bwhc->bwhc", sqrt_alpha_hat, x.to(self.device)) + torch.einsum("b,bwhc->bwhc", sqrt_one_minus_alpha_hat, epsilon) noisy_image = torch.einsum("b,bcwh->bcwh", sqrt_alpha_hat, x.to(self.device)) + torch.einsum("b,bcwh->bcwh", sqrt_one_minus_alpha_hat, epsilon) except: print(f'Failed image: shape {x.shape}') #print(f'Noisy image -> {noisy_image.shape}') # returning noisy iamge and the noise which was added to the image #return noisy_image, epsilon #return torch.clip(noisy_image, -1.0, 1.0), epsilon return noisy_image, epsilon @staticmethod def normalize_image(x): # normalize image to [-1, 1] return x / 255.0 * 2.0 - 1.0 @staticmethod def denormalize_image(x): # denormalize image to [0, 255] return (x + 1.0) / 2.0 * 255.0 def sample_step(self, x, t, cond): batch_size = x.shape[0] device = x.device z = torch.randn_like(x) if t >= 1 else torch.zeros_like(x) z = z.to(device) alpha = self.alphas[t] one_over_sqrt_alpha = 1.0 / torch.sqrt(alpha) one_minus_alpha = 1.0 - alpha sqrt_one_minus_alpha_hat = torch.sqrt(1.0 - self.alpha_hat[t]) beta_hat = (1 - self.alpha_hat[t-1]) / (1 - self.alpha_hat[t]) * self.betas[t] beta = self.betas[t] # should we reshape the params to (batch_size, 1, 1, 1) ? # we can either use beta_hat or beta_t # std = torch.sqrt(beta_hat) std = torch.sqrt(beta) # mean + variance * z if cond is not None: predicted_noise = self.model(x, torch.tensor([t]).repeat(batch_size).to(device), cond) else: predicted_noise = self.model(x, torch.tensor([t]).repeat(batch_size).to(device)) mean = one_over_sqrt_alpha * (x - one_minus_alpha / sqrt_one_minus_alpha_hat * predicted_noise) x_t_minus_1 = mean + std * z return x_t_minus_1 def sample(self, num_samples, show_progress=True): """ Sample from the model """ cond = None if self.model.is_conditional: # cond is arange() assert num_samples <= self.model.num_classes, "num_samples must be less than or equal to the number of classes" cond = torch.arange(self.model.num_classes)[:num_samples].to(self.device) cond = rearrange(cond, 'i -> i ()') self.model.eval() image_versions = [] with torch.no_grad(): x = torch.randn(num_samples, self.channels, *self.image_size).to(self.device) it = reversed(range(1, self.noise_steps)) if show_progress: it = tqdm(it) for t in it: image_versions.append(self.denormalize_image(torch.clip(x, -1, 1)).clone().squeeze(0)) x = self.sample_step(x, t, cond) self.model.train() x = torch.clip(x, -1.0, 1.0) return self.denormalize_image(x), image_versions def validate(self, dataloader): """ Calculate the loss on the validation set """ self.model.eval() acc_loss = 0 with torch.no_grad(): for (image, cond) in dataloader: t = self.sample_time_steps(batch_size=image.shape[0]) noisy_image, added_noise = self.apply_noise(image, t) noisy_image = noisy_image.to(self.device) added_noise = added_noise.to(self.device) cond = cond.to(self.device) predicted_noise = self.model(noisy_image, t, cond) loss = nn.MSELoss()(predicted_noise, added_noise) acc_loss += loss.item() self.model.train() return acc_loss / len(dataloader) class DiffusionImageAPI: def __init__(self, diffusion_model): self.diffusion_model = diffusion_model def get_noisy_image(self, image, t): x = torch.tensor(np.array(image)) x = self.diffusion_model.normalize_image(x) y, _ = self.diffusion_model.apply_noise(x, t) y = self.diffusion_model.denormalize_image(y) #print(f"Shape of Image: {y.shape}") return Image.fromarray(y.squeeze(0).numpy().astype(np.uint8)) def get_noisy_images(self, image, time_steps): """ image: the image to be processed PIL.Image time_steps: the number of time steps to apply noise (int) """ return [self.get_noisy_image(image, int(t)) for t in time_steps] def tensor_to_image(self, tensor): return Image.fromarray(tensor.cpu().numpy().astype(np.uint8))