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| import torch | |
| from random import randrange | |
| import torch.nn.functional as F | |
| def noise_regularization( | |
| e_t, noise_pred_optimal, lambda_kl, lambda_ac, num_reg_steps, num_ac_rolls | |
| ): | |
| for _outer in range(num_reg_steps): | |
| if lambda_kl > 0: | |
| _var = torch.autograd.Variable(e_t.detach().clone(), requires_grad=True) | |
| l_kld = patchify_latents_kl_divergence(_var, noise_pred_optimal) | |
| l_kld.backward() | |
| _grad = _var.grad.detach() | |
| _grad = torch.clip(_grad, -100, 100) | |
| e_t = e_t - lambda_kl * _grad | |
| if lambda_ac > 0: | |
| for _inner in range(num_ac_rolls): | |
| _var = torch.autograd.Variable(e_t.detach().clone(), requires_grad=True) | |
| l_ac = auto_corr_loss(_var) | |
| l_ac.backward() | |
| _grad = _var.grad.detach() / num_ac_rolls | |
| e_t = e_t - lambda_ac * _grad | |
| e_t = e_t.detach() | |
| return e_t | |
| def auto_corr_loss(x, random_shift=True): | |
| B, C, H, W = x.shape | |
| assert B == 1 | |
| x = x.squeeze(0) | |
| # x must be shape [C,H,W] now | |
| reg_loss = 0.0 | |
| for ch_idx in range(x.shape[0]): | |
| noise = x[ch_idx][None, None, :, :] | |
| while True: | |
| if random_shift: | |
| roll_amount = randrange(noise.shape[2] // 2) | |
| else: | |
| roll_amount = 1 | |
| reg_loss += ( | |
| noise * torch.roll(noise, shifts=roll_amount, dims=2) | |
| ).mean() ** 2 | |
| reg_loss += ( | |
| noise * torch.roll(noise, shifts=roll_amount, dims=3) | |
| ).mean() ** 2 | |
| if noise.shape[2] <= 8: | |
| break | |
| noise = F.avg_pool2d(noise, kernel_size=2) | |
| return reg_loss | |
| def patchify_latents_kl_divergence(x0, x1, patch_size=4, num_channels=4): | |
| def patchify_tensor(input_tensor): | |
| patches = ( | |
| input_tensor.unfold(1, patch_size, patch_size) | |
| .unfold(2, patch_size, patch_size) | |
| .unfold(3, patch_size, patch_size) | |
| ) | |
| patches = patches.contiguous().view(-1, num_channels, patch_size, patch_size) | |
| return patches | |
| x0 = patchify_tensor(x0) | |
| x1 = patchify_tensor(x1) | |
| kl = latents_kl_divergence(x0, x1).sum() | |
| return kl | |
| def latents_kl_divergence(x0, x1): | |
| EPSILON = 1e-6 | |
| x0 = x0.view(x0.shape[0], x0.shape[1], -1) | |
| x1 = x1.view(x1.shape[0], x1.shape[1], -1) | |
| mu0 = x0.mean(dim=-1) | |
| mu1 = x1.mean(dim=-1) | |
| var0 = x0.var(dim=-1) | |
| var1 = x1.var(dim=-1) | |
| kl = ( | |
| torch.log((var1 + EPSILON) / (var0 + EPSILON)) | |
| + (var0 + (mu0 - mu1) ** 2) / (var1 + EPSILON) | |
| - 1 | |
| ) | |
| kl = torch.abs(kl).sum(dim=-1) | |
| return kl | |