| import torch |
| import logging |
| import pickle |
| import glob |
| import random |
| import numpy as np |
| from .model_utils import * |
| from torch.utils.data import Dataset |
| from torch.nn import functional as F |
|
|
|
|
| def set_seed(CUR_SEED): |
| random.seed(CUR_SEED) |
| np.random.seed(CUR_SEED) |
| torch.manual_seed(CUR_SEED) |
| torch.backends.cudnn.deterministic = True |
| torch.backends.cudnn.benchmark = False |
|
|
|
|
| def get_beta_schedule(variant, timesteps): |
| if variant == "cosine": |
| return betas_for_alpha_bar(timesteps) |
| elif variant == "linear": |
| return linear_beta_schedule(timesteps) |
| else: |
| raise NotImplemented |
|
|
|
|
| def linear_beta_schedule(timesteps): |
| beta_start = 0.0001 |
| beta_end = 0.02 |
|
|
| return torch.linspace(beta_start, beta_end, timesteps) |
|
|
|
|
| def betas_for_alpha_bar(num_diffusion_timesteps, max_beta=0.999): |
| """ |
| Create a beta schedule that discretizes the given alpha_t_bar function, which defines the cumulative product of |
| (1-beta) over time from t = [0,1]. |
| |
| Contains a function alpha_bar that takes an argument t and transforms it to the cumulative product of (1-beta) up |
| to that part of the diffusion process. |
| """ |
|
|
| def alpha_bar(time_step): |
| |
| |
| return ( |
| np.cos((time_step + 0.008) / 1.008 * np.pi / 2) ** 2 |
| ) * 0.98 + 0.02 |
|
|
| betas = [] |
| for i in range(num_diffusion_timesteps): |
| t1 = i / num_diffusion_timesteps |
| t2 = (i + 1) / num_diffusion_timesteps |
| betas.append(min(1 - alpha_bar(t2) / alpha_bar(t1), max_beta)) |
|
|
| return torch.tensor(betas, dtype=torch.float32) |
|
|
|
|
| class DDPM_Sampler(torch.nn.Module): |
| def __init__(self, steps=100, schedule="cosine", clamp_val: float = 5.0): |
| super().__init__() |
| self.num_steps = steps |
| self.schedule = schedule |
| self.clamp_val = clamp_val |
|
|
| self.register_buffer( |
| "betas", get_beta_schedule(self.schedule, self.num_steps) |
| ) |
| self.register_buffer("betas_sqrt", self.betas.sqrt()) |
| self.register_buffer("alphas", 1 - self.betas) |
| self.register_buffer("alphas_cumprod", torch.cumprod(self.alphas, 0)) |
|
|
| @torch.no_grad() |
| def add_noise( |
| self, |
| original_samples: torch.FloatTensor, |
| noise: torch.FloatTensor, |
| timesteps: torch.IntTensor, |
| ): |
|
|
| assert (timesteps < self.num_steps).all() |
|
|
| |
| alphas_cumprod = self.alphas_cumprod.to( |
| device=original_samples.device, dtype=original_samples.dtype |
| ) |
| timesteps = timesteps.to(original_samples.device) |
|
|
| sqrt_alpha_prod = alphas_cumprod[timesteps] ** 0.5 |
| sqrt_alpha_prod = sqrt_alpha_prod.flatten() |
|
|
| while len(sqrt_alpha_prod.shape) < len(original_samples.shape): |
| sqrt_alpha_prod = sqrt_alpha_prod.unsqueeze(-1) |
|
|
| sqrt_one_minus_alpha_prod = (1 - alphas_cumprod[timesteps]) ** 0.5 |
| sqrt_one_minus_alpha_prod = sqrt_one_minus_alpha_prod.flatten() |
|
|
| while len(sqrt_one_minus_alpha_prod.shape) < len( |
| original_samples.shape |
| ): |
| sqrt_one_minus_alpha_prod = sqrt_one_minus_alpha_prod.unsqueeze(-1) |
|
|
| noised_samples = ( |
| sqrt_alpha_prod * original_samples |
| + sqrt_one_minus_alpha_prod * noise |
| ) |
|
|
| return noised_samples |
|
|
| def set_timesteps(self, num_inference_steps=None, device=None): |
|
|
| timesteps = ( |
| np.linspace(0, self.num_steps - 1, num_inference_steps) |
| .round()[::-1] |
| .copy() |
| .astype(np.int64) |
| ) |
|
|
| self.timesteps = torch.from_numpy(timesteps).to(device) |
|
|
| def step( |
| self, |
| model_output: torch.FloatTensor, |
| timestep: int, |
| sample: torch.FloatTensor, |
| prediction_type: str = "sample", |
| ): |
| """ |
| Predict the sample from the previous timestep by reversing the SDE. This function propagates the diffusion |
| process from the learned model outputs (most often the predicted noise). |
| |
| Args: |
| model_output (`torch.FloatTensor`): |
| The direct output from learned diffusion model. |
| timestep (`float`): |
| The current discrete timestep in the diffusion chain. |
| sample (`torch.FloatTensor`): |
| A current instance of a sample created by the diffusion process. |
| """ |
| |
| pred_prev_sample_mean = self.q_mean( |
| model_output, timestep, sample, prediction_type=prediction_type |
| ) |
| |
| device = model_output.device |
| variance_noise = torch.randn( |
| model_output.shape, device=device, dtype=model_output.dtype |
| ) |
|
|
| variance = (self.q_variance(timestep) ** 0.5) * variance_noise |
|
|
| pred_prev_sample = pred_prev_sample_mean + variance |
|
|
| return pred_prev_sample |
|
|
| def q_mean( |
| self, |
| model_output: torch.FloatTensor, |
| timestep: int, |
| sample: torch.FloatTensor, |
| prediction_type: str = "sample", |
| ): |
| """ |
| Predict the sample from the previous timestep by reversing the SDE. This function propagates the diffusion |
| process from the learned model outputs (most often the predicted noise). |
| |
| Args: |
| model_output (`torch.FloatTensor`): |
| The direct output from learned diffusion model. |
| timestep (`float`): |
| The current discrete timestep in the diffusion chain. |
| sample (`torch.FloatTensor`): |
| A current instance of a sample created by the diffusion process. |
| """ |
| if type(timestep) == int: |
| t = timestep |
| else: |
| t = timestep[0][0] |
| prev_t = t - 1 |
|
|
| |
| alpha_prod_t = self.alphas_cumprod[t] |
| alpha_prod_t_prev = ( |
| self.alphas_cumprod[prev_t] if prev_t >= 0 else torch.tensor(1.0) |
| ) |
| beta_prod_t = 1 - alpha_prod_t |
| beta_prod_t_prev = 1 - alpha_prod_t_prev |
| current_alpha_t = alpha_prod_t / alpha_prod_t_prev |
| current_beta_t = 1 - current_alpha_t |
|
|
| |
| if prediction_type == "sample": |
| pred_original_sample = model_output |
| elif prediction_type == "error": |
| pred_original_sample = ( |
| sample - beta_prod_t ** (0.5) * model_output |
| ) / alpha_prod_t ** (0.5) |
| elif prediction_type == "v": |
| pred_original_sample = (alpha_prod_t**0.5) * sample - ( |
| beta_prod_t**0.5 |
| ) * model_output |
| else: |
| raise NotImplementedError |
|
|
| |
| pred_original_sample = pred_original_sample.clamp( |
| -self.clamp_val, self.clamp_val |
| ) |
| |
|
|
| |
| pred_original_sample_coeff = ( |
| alpha_prod_t_prev**0.5 * current_beta_t |
| ) / beta_prod_t |
| current_sample_coeff = ( |
| current_alpha_t**0.5 * beta_prod_t_prev / beta_prod_t |
| ) |
|
|
| |
| pred_prev_sample_mean = ( |
| pred_original_sample_coeff * pred_original_sample |
| + current_sample_coeff * sample |
| ) |
| return pred_prev_sample_mean |
|
|
| def q_x0( |
| self, |
| model_output: torch.FloatTensor, |
| timestep: int, |
| sample: torch.FloatTensor, |
| prediction_type: str = "sample", |
| ): |
| """ |
| Predict the denoised x0 from the previous timestep by reversing the SDE. This function propagates the diffusion |
| process from the learned model outputs (most often the predicted noise). |
| |
| Args: |
| model_output (`torch.FloatTensor`): |
| The direct output from learned diffusion model. |
| timestep (`float`): |
| The current discrete timestep in the diffusion chain. |
| sample (`torch.FloatTensor`): |
| A current instance of a sample created by the diffusion process. |
| """ |
|
|
| |
| if prediction_type == "sample": |
| pred_original_sample = model_output |
| elif prediction_type == "error": |
| alpha_prod_t = self.alphas_cumprod[timestep] |
| for _ in range(len(sample.shape) - len(alpha_prod_t.shape)): |
| alpha_prod_t = alpha_prod_t[..., None] |
| beta_prod_t = 1 - alpha_prod_t |
|
|
| pred_original_sample = ( |
| sample - beta_prod_t ** (0.5) * model_output |
| ) / alpha_prod_t ** (0.5) |
| |
| |
| else: |
| raise NotImplementedError |
|
|
| return pred_original_sample |
|
|
| def q_variance(self, t): |
| if t == 0: |
| return 0 |
| prev_t = t - 1 |
| alpha_prod_t = self.alphas_cumprod[t] |
| alpha_prod_t_prev = self.alphas_cumprod[prev_t] |
| beta_prod_t = 1 - alpha_prod_t |
| beta_prod_t_prev = 1 - alpha_prod_t_prev |
| current_alpha_t = alpha_prod_t / alpha_prod_t_prev |
| current_beta_t = 1 - current_alpha_t |
|
|
| variance = beta_prod_t_prev / beta_prod_t * current_beta_t |
| variance = torch.clamp(variance, min=1e-20) |
| return variance |
|
|