import matplotlib.pyplot as plt from matplotlib.gridspec import GridSpec import numpy as np from torchvision import datasets import torch import os from rich.progress import track from main import UNet, q_xt_xt_1, p_xt_1_xt os.makedirs('plots', exist_ok=True) os.makedirs('plots/diffusion', exist_ok=True) os.makedirs('plots/diffusion_inverse', exist_ok=True) DEVICE = torch.device('cuda' if torch.cuda.is_available() else 'cpu') DIFFU_STEPS = 1000 BETA = np.linspace(1e-4, 2e-2, DIFFU_STEPS) ALPHA = 1 - BETA ALPHA_BAR = np.cumprod(ALPHA) NB_BINS = 50 BIN_MIN = -4 BIN_MAX = 4 plt.figure() plt.plot(BETA, label='beta') plt.plot(ALPHA, label='alpha') plt.plot(ALPHA_BAR, label='alpha_bar') plt.legend() plt.title('Alpha, Beta and Alpha_bar schedules') plt.savefig('plots/alpha_beta.tmp.png') mnist = datasets.MNIST('data', train=True, download=True) img, label = mnist[np.random.randint(0, len(mnist))] img = np.array(img) / 255 * 2 - 1 plt.figure() plt.imshow(img, cmap='gray') plt.title('Image') plt.axis('off') plt.savefig('plots/img.tmp.png') plt.figure() plt.hist(img.flatten(), bins=NB_BINS, range=(BIN_MIN, BIN_MAX)) plt.yscale('log') plt.title('Image histogram') plt.savefig('plots/img_hist.tmp.png') def norm_dist(x, mean, std): return np.exp(-0.5 * ((x - mean) / std) ** 2) / (std * np.sqrt(2 * np.pi)) x_norm = np.linspace(BIN_MIN, BIN_MAX, 100) y_norm = norm_dist(x_norm, 0, 1) * 28**2 / NB_BINS * (BIN_MAX - BIN_MIN) fig = plt.figure(figsize=(10, 5)) fig.suptitle('Diffusion naturelle') gs = GridSpec(1, 3, figure=fig) ax1 = fig.add_subplot(gs[0, 0]) ax2 = fig.add_subplot(gs[0, 1:]) plots_to_save = np.linspace(1, DIFFU_STEPS, 100).astype(int) xt = torch.tensor(img, device=DEVICE, dtype=torch.float32).unsqueeze(0).unsqueeze(0) for t in track(range(1, DIFFU_STEPS+1)): xt, eps = q_xt_xt_1(xt, t) if t not in plots_to_save: continue xt_numpy = xt.cpu().detach().numpy()[0, 0] ax1.clear() ax1.imshow(xt_numpy, cmap='gray') ax1.set_title(f'xt at t={t:04d}') ax1.axis('off') ax2.clear() ax2.hist(xt_numpy.flatten(), bins=NB_BINS, range=(BIN_MIN, BIN_MAX)) ax2.plot(x_norm, y_norm, color='red', label='N(0, 1)') ax2.legend() ax2.set_yscale('log') ax2.set_ylim(y_norm.min(), 1e3) ax2.set_title(f'xt histogram') fig.savefig(f'plots/diffusion/{t:04d}.tmp.png') os.system('convert -delay 20 -loop 0 plots/diffusion/*.png plots/diffusion.tmp.gif') model = UNet().to(DEVICE) model.load_state_dict(torch.load('model.pth')) fig = plt.figure(figsize=(10, 5)) fig.suptitle('Diffusion inverse') gs = GridSpec(1, 3, figure=fig) ax1 = fig.add_subplot(gs[0, 0]) ax2 = fig.add_subplot(gs[0, 1:]) xt = torch.randn(1, 1, 28, 28, device=DEVICE) vec = torch.zeros(1, 10).to(DEVICE) vec[0, label] = 1 for t in track(range(DIFFU_STEPS, 0, -1)): t_tensor = torch.tensor([[t]], device=DEVICE, dtype=torch.float32) xt = p_xt_1_xt(model, xt, t_tensor, vec) if t not in plots_to_save: continue xt_numpy = xt.cpu().detach().numpy()[0, 0] ax1.clear() ax1.imshow(xt_numpy, cmap='gray') ax1.set_title(f'xt at t={t:04d}') ax1.axis('off') ax2.clear() ax2.hist(xt_numpy.flatten(), bins=NB_BINS, range=(BIN_MIN, BIN_MAX)) ax2.plot(x_norm, y_norm, color='red', label='N(0, 1)') ax2.legend() ax2.set_yscale('log') ax2.set_ylim(y_norm.min(), 1e3) ax2.set_title(f'xt histogram') fig.savefig(f'plots/diffusion_inverse/{t:04d}.tmp.png') os.system('convert -delay 20 -loop 0 -reverse plots/diffusion_inverse/*.png plots/diffusion_inverse.tmp.gif')