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from dataclasses import dataclass |
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from typing import Optional, Tuple, Union |
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import numpy as np |
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import torch |
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from ..configuration_utils import ConfigMixin, register_to_config |
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from ..schedulers.scheduling_utils import SchedulerMixin |
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from ..utils import BaseOutput, logging |
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from ..utils.torch_utils import randn_tensor |
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logger = logging.get_logger(__name__) |
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@dataclass |
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class SCMSchedulerOutput(BaseOutput): |
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""" |
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Output class for the scheduler's `step` function output. |
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Args: |
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prev_sample (`torch.Tensor` of shape `(batch_size, num_channels, height, width)` for images): |
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Computed sample `(x_{t-1})` of previous timestep. `prev_sample` should be used as next model input in the |
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denoising loop. |
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pred_original_sample (`torch.Tensor` of shape `(batch_size, num_channels, height, width)` for images): |
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The predicted denoised sample `(x_{0})` based on the model output from the current timestep. |
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`pred_original_sample` can be used to preview progress or for guidance. |
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""" |
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prev_sample: torch.Tensor |
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pred_original_sample: Optional[torch.Tensor] = None |
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class SCMScheduler(SchedulerMixin, ConfigMixin): |
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""" |
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`SCMScheduler` extends the denoising procedure introduced in denoising diffusion probabilistic models (DDPMs) with |
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non-Markovian guidance. This model inherits from [`SchedulerMixin`] and [`ConfigMixin`]. Check the superclass |
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documentation for the generic methods the library implements for all schedulers such as loading and saving. |
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Args: |
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num_train_timesteps (`int`, defaults to 1000): |
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The number of diffusion steps to train the model. |
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prediction_type (`str`, defaults to `trigflow`): |
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Prediction type of the scheduler function. Currently only supports "trigflow". |
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sigma_data (`float`, defaults to 0.5): |
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The standard deviation of the noise added during multi-step inference. |
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""" |
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order = 1 |
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@register_to_config |
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def __init__( |
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self, |
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num_train_timesteps: int = 1000, |
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prediction_type: str = "trigflow", |
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sigma_data: float = 0.5, |
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): |
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""" |
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Initialize the SCM scheduler. |
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Args: |
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num_train_timesteps (`int`, defaults to 1000): |
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The number of diffusion steps to train the model. |
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prediction_type (`str`, defaults to `trigflow`): |
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Prediction type of the scheduler function. Currently only supports "trigflow". |
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sigma_data (`float`, defaults to 0.5): |
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The standard deviation of the noise added during multi-step inference. |
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""" |
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self.init_noise_sigma = 1.0 |
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self.num_inference_steps = None |
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self.timesteps = torch.from_numpy(np.arange(0, num_train_timesteps)[::-1].copy().astype(np.int64)) |
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self._step_index = None |
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self._begin_index = None |
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@property |
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def step_index(self): |
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return self._step_index |
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@property |
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def begin_index(self): |
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return self._begin_index |
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def set_begin_index(self, begin_index: int = 0): |
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""" |
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Sets the begin index for the scheduler. This function should be run from pipeline before the inference. |
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Args: |
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begin_index (`int`): |
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The begin index for the scheduler. |
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""" |
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self._begin_index = begin_index |
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def set_timesteps( |
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self, |
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num_inference_steps: int, |
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timesteps: torch.Tensor = None, |
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device: Union[str, torch.device] = None, |
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max_timesteps: float = 1.57080, |
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intermediate_timesteps: float = 1.3, |
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): |
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""" |
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Sets the discrete timesteps used for the diffusion chain (to be run before inference). |
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Args: |
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num_inference_steps (`int`): |
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The number of diffusion steps used when generating samples with a pre-trained model. |
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timesteps (`torch.Tensor`, *optional*): |
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Custom timesteps to use for the denoising process. |
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max_timesteps (`float`, defaults to 1.57080): |
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The maximum timestep value used in the SCM scheduler. |
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intermediate_timesteps (`float`, *optional*, defaults to 1.3): |
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The intermediate timestep value used in SCM scheduler (only used when num_inference_steps=2). |
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""" |
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if num_inference_steps > self.config.num_train_timesteps: |
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raise ValueError( |
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f"`num_inference_steps`: {num_inference_steps} cannot be larger than `self.config.train_timesteps`:" |
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f" {self.config.num_train_timesteps} as the unet model trained with this scheduler can only handle" |
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f" maximal {self.config.num_train_timesteps} timesteps." |
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) |
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if timesteps is not None and len(timesteps) != num_inference_steps + 1: |
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raise ValueError("If providing custom timesteps, `timesteps` must be of length `num_inference_steps + 1`.") |
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if timesteps is not None and max_timesteps is not None: |
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raise ValueError("If providing custom timesteps, `max_timesteps` should not be provided.") |
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if timesteps is None and max_timesteps is None: |
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raise ValueError("Should provide either `timesteps` or `max_timesteps`.") |
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if intermediate_timesteps is not None and num_inference_steps != 2: |
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raise ValueError("Intermediate timesteps for SCM is not supported when num_inference_steps != 2.") |
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self.num_inference_steps = num_inference_steps |
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if timesteps is not None: |
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if isinstance(timesteps, list): |
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self.timesteps = torch.tensor(timesteps, device=device).float() |
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elif isinstance(timesteps, torch.Tensor): |
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self.timesteps = timesteps.to(device).float() |
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else: |
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raise ValueError(f"Unsupported timesteps type: {type(timesteps)}") |
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elif intermediate_timesteps is not None: |
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self.timesteps = torch.tensor([max_timesteps, intermediate_timesteps, 0], device=device).float() |
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else: |
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self.timesteps = torch.linspace(max_timesteps, 0, num_inference_steps + 1, device=device).float() |
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print(f"Set timesteps: {self.timesteps}") |
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self._step_index = None |
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self._begin_index = None |
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def _init_step_index(self, timestep): |
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if self.begin_index is None: |
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if isinstance(timestep, torch.Tensor): |
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timestep = timestep.to(self.timesteps.device) |
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self._step_index = self.index_for_timestep(timestep) |
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else: |
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self._step_index = self._begin_index |
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def index_for_timestep(self, timestep, schedule_timesteps=None): |
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if schedule_timesteps is None: |
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schedule_timesteps = self.timesteps |
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indices = (schedule_timesteps == timestep).nonzero() |
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pos = 1 if len(indices) > 1 else 0 |
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return indices[pos].item() |
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def step( |
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self, |
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model_output: torch.FloatTensor, |
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timestep: float, |
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sample: torch.FloatTensor, |
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generator: torch.Generator = None, |
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return_dict: bool = True, |
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) -> Union[SCMSchedulerOutput, Tuple]: |
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""" |
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Predict the sample from the previous timestep by reversing the SDE. This function propagates the diffusion |
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process from the learned model outputs (most often the predicted noise). |
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Args: |
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model_output (`torch.FloatTensor`): |
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The direct output from learned diffusion model. |
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timestep (`float`): |
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The current discrete timestep in the diffusion chain. |
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sample (`torch.FloatTensor`): |
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A current instance of a sample created by the diffusion process. |
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return_dict (`bool`, *optional*, defaults to `True`): |
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Whether or not to return a [`~schedulers.scheduling_scm.SCMSchedulerOutput`] or `tuple`. |
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Returns: |
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[`~schedulers.scheduling_utils.SCMSchedulerOutput`] or `tuple`: |
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If return_dict is `True`, [`~schedulers.scheduling_scm.SCMSchedulerOutput`] is returned, otherwise a |
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tuple is returned where the first element is the sample tensor. |
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""" |
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if self.num_inference_steps is None: |
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raise ValueError( |
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"Number of inference steps is 'None', you need to run 'set_timesteps' after creating the scheduler" |
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) |
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if self.step_index is None: |
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self._init_step_index(timestep) |
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t = self.timesteps[self.step_index + 1] |
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s = self.timesteps[self.step_index] |
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parameterization = self.config.prediction_type |
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if parameterization == "trigflow": |
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pred_x0 = torch.cos(s) * sample - torch.sin(s) * model_output |
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else: |
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raise ValueError(f"Unsupported parameterization: {parameterization}") |
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if len(self.timesteps) > 1: |
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noise = ( |
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randn_tensor(model_output.shape, device=model_output.device, generator=generator) |
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* self.config.sigma_data |
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) |
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prev_sample = torch.cos(t) * pred_x0 + torch.sin(t) * noise |
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else: |
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prev_sample = pred_x0 |
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self._step_index += 1 |
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if not return_dict: |
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return (prev_sample, pred_x0) |
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return SCMSchedulerOutput(prev_sample=prev_sample, pred_original_sample=pred_x0) |
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def __len__(self): |
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return self.config.num_train_timesteps |
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