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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):
# ! Hard code to shift the schedule
# return np.cos((time_step + 0.008) / 1.008 * np.pi / 2) ** 2
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()
# Make sure alphas_cumprod and timestep have same device and dtype as original_samples
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.
"""
# Compute predicted previous sample µ_t-1
pred_prev_sample_mean = self.q_mean(
model_output, timestep, sample, prediction_type=prediction_type
)
# 6. Add noise
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
# 1. Compute alphas, betas
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
# 2. Compute predicted original sample from predicted noise also called "predicted x_0"
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
# 3. Clip or threshold "predicted x_0"
pred_original_sample = pred_original_sample.clamp(
-self.clamp_val, self.clamp_val
)
# samxple = sample.clamp(-self.clamp_val, self.clamp_val)
# 4. Compute coefficients for pred_original_sample x_0 and current sample x_t
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
)
# 5. Compute predicted previous sample µ_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.
"""
# 2. Compute predicted original sample from predicted noise also called "predicted x_0"
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)
# elif prediction_type == "v":
# pred_original_sample = (alpha_prod_t**0.5) * sample - (beta_prod_t**0.5) * model_output
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