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# Copyright 2023 Google Brain and The HuggingFace Team. All rights reserved. | |
# | |
# Licensed under the Apache License, Version 2.0 (the "License"); | |
# you may not use this file except in compliance with the License. | |
# You may obtain a copy of the License at | |
# | |
# http://www.apache.org/licenses/LICENSE-2.0 | |
# | |
# Unless required by applicable law or agreed to in writing, software | |
# distributed under the License is distributed on an "AS IS" BASIS, | |
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
# See the License for the specific language governing permissions and | |
# limitations under the License. | |
# DISCLAIMER: This file is strongly influenced by https://github.com/yang-song/score_sde_pytorch | |
import math | |
from typing import Union | |
import torch | |
from ...configuration_utils import ConfigMixin, register_to_config | |
from ...utils.torch_utils import randn_tensor | |
from ..scheduling_utils import SchedulerMixin | |
class ScoreSdeVpScheduler(SchedulerMixin, ConfigMixin): | |
""" | |
`ScoreSdeVpScheduler` is a variance preserving stochastic differential equation (SDE) scheduler. | |
This model inherits from [`SchedulerMixin`] and [`ConfigMixin`]. Check the superclass documentation for the generic | |
methods the library implements for all schedulers such as loading and saving. | |
Args: | |
num_train_timesteps (`int`, defaults to 2000): | |
The number of diffusion steps to train the model. | |
beta_min (`int`, defaults to 0.1): | |
beta_max (`int`, defaults to 20): | |
sampling_eps (`int`, defaults to 1e-3): | |
The end value of sampling where timesteps decrease progressively from 1 to epsilon. | |
""" | |
order = 1 | |
def __init__(self, num_train_timesteps=2000, beta_min=0.1, beta_max=20, sampling_eps=1e-3): | |
self.sigmas = None | |
self.discrete_sigmas = None | |
self.timesteps = None | |
def set_timesteps(self, num_inference_steps, device: Union[str, torch.device] = None): | |
""" | |
Sets the continuous timesteps used for the diffusion chain (to be run before inference). | |
Args: | |
num_inference_steps (`int`): | |
The number of diffusion steps used when generating samples with a pre-trained model. | |
device (`str` or `torch.device`, *optional*): | |
The device to which the timesteps should be moved to. If `None`, the timesteps are not moved. | |
""" | |
self.timesteps = torch.linspace(1, self.config.sampling_eps, num_inference_steps, device=device) | |
def step_pred(self, score, x, t, generator=None): | |
""" | |
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: | |
score (): | |
x (): | |
t (): | |
generator (`torch.Generator`, *optional*): | |
A random number generator. | |
""" | |
if self.timesteps is None: | |
raise ValueError( | |
"`self.timesteps` is not set, you need to run 'set_timesteps' after creating the scheduler" | |
) | |
# TODO(Patrick) better comments + non-PyTorch | |
# postprocess model score | |
log_mean_coeff = -0.25 * t**2 * (self.config.beta_max - self.config.beta_min) - 0.5 * t * self.config.beta_min | |
std = torch.sqrt(1.0 - torch.exp(2.0 * log_mean_coeff)) | |
std = std.flatten() | |
while len(std.shape) < len(score.shape): | |
std = std.unsqueeze(-1) | |
score = -score / std | |
# compute | |
dt = -1.0 / len(self.timesteps) | |
beta_t = self.config.beta_min + t * (self.config.beta_max - self.config.beta_min) | |
beta_t = beta_t.flatten() | |
while len(beta_t.shape) < len(x.shape): | |
beta_t = beta_t.unsqueeze(-1) | |
drift = -0.5 * beta_t * x | |
diffusion = torch.sqrt(beta_t) | |
drift = drift - diffusion**2 * score | |
x_mean = x + drift * dt | |
# add noise | |
noise = randn_tensor(x.shape, layout=x.layout, generator=generator, device=x.device, dtype=x.dtype) | |
x = x_mean + diffusion * math.sqrt(-dt) * noise | |
return x, x_mean | |
def __len__(self): | |
return self.config.num_train_timesteps | |