gaussian_ddpm.py

# Copyright 2022 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.
import math

import torch
from torch import nn

from ..configuration_utils import ConfigMixin
from .schedulers_utils import betas_for_alpha_bar, linear_beta_schedule


SAMPLING_CONFIG_NAME = "scheduler_config.json"


class GaussianDDPMScheduler(nn.Module, ConfigMixin):

    config_name = SAMPLING_CONFIG_NAME

    def __init__(
        self,
        timesteps=1000,
        beta_start=0.0001,
        beta_end=0.02,
        beta_schedule="linear",
        variance_type="fixed_small",
        clip_predicted_image=True,
    ):
        super().__init__()
        self.register(
            timesteps=timesteps,
            beta_start=beta_start,
            beta_end=beta_end,
            beta_schedule=beta_schedule,
            variance_type=variance_type,
            clip_predicted_image=clip_predicted_image,
        )
        self.num_timesteps = int(timesteps)
        self.clip_image = clip_predicted_image
        self.variance_type = variance_type

        if beta_schedule == "linear":
            betas = linear_beta_schedule(timesteps, beta_start=beta_start, beta_end=beta_end)
        elif beta_schedule == "squaredcos_cap_v2":
            # GLIDE cosine schedule
            betas = betas_for_alpha_bar(
                timesteps,
                lambda t: math.cos((t + 0.008) / 1.008 * math.pi / 2) ** 2,
            )
        else:
            raise NotImplementedError(f"{beta_schedule} does is not implemented for {self.__class__}")

        alphas = 1.0 - betas
        alphas_cumprod = torch.cumprod(alphas, axis=0)

        self.register_buffer("betas", betas.to(torch.float32))
        self.register_buffer("alphas", alphas.to(torch.float32))
        self.register_buffer("alphas_cumprod", alphas_cumprod.to(torch.float32))

#        alphas_cumprod_prev = torch.nn.functional.pad(alphas_cumprod[:-1], (1, 0), value=1.0)
        # TODO(PVP) - check how much of these is actually necessary!
        # LDM only uses "fixed_small"; glide seems to use a weird mix of the two, ...
        # https://github.com/openai/glide-text2im/blob/69b530740eb6cef69442d6180579ef5ba9ef063e/glide_text2im/gaussian_diffusion.py#L246
#        variance = betas * (1.0 - alphas_cumprod_prev) / (1.0 - alphas_cumprod)
#        if variance_type == "fixed_small":
#            log_variance = torch.log(variance.clamp(min=1e-20))
#        elif variance_type == "fixed_large":
#            log_variance = torch.log(torch.cat([variance[1:2], betas[1:]], dim=0))
#
#
#        self.register_buffer("log_variance", log_variance.to(torch.float32))

    def get_alpha(self, time_step):
        return self.alphas[time_step]

    def get_beta(self, time_step):
        return self.betas[time_step]

    def get_alpha_prod(self, time_step):
        if time_step < 0:
            return torch.tensor(1.0)
        return self.alphas_cumprod[time_step]

    def get_variance(self, t):
        alpha_prod_t = self.get_alpha_prod(t)
        alpha_prod_t_prev = self.get_alpha_prod(t - 1)

        # For t > 0, compute predicted variance βt (see formala (6) and (7) from https://arxiv.org/pdf/2006.11239.pdf)
        # and sample from it to get previous image
        # x_{t-1} ~ N(pred_prev_image, variance) == add variane to pred_image
        variance = ((1 - alpha_prod_t_prev) / (1 - alpha_prod_t) * self.get_beta(t))

        # hacks - were probs added for training stability
        if self.variance_type == "fixed_small":
            variance = variance.clamp(min=1e-20)
        elif self.variance_type == "fixed_large":
            variance = self.get_beta(t)

        return variance

    def compute_prev_image_step(self, residual, image, t, output_pred_x_0=False):
        # 1. compute alphas, betas
        alpha_prod_t = self.get_alpha_prod(t)
        alpha_prod_t_prev = self.get_alpha_prod(t - 1)
        beta_prod_t = 1 - alpha_prod_t
        beta_prod_t_prev = 1 - alpha_prod_t_prev

        # 2. compute predicted original image from predicted noise also called
        # "predicted x_0" of formula (15) from https://arxiv.org/pdf/2006.11239.pdf
        pred_original_image = (image - beta_prod_t.sqrt() * residual) / alpha_prod_t.sqrt()

        # 3. Clip "predicted x_0"
        if self.clip_predicted_image:
            pred_original_image = torch.clamp(pred_original_image, -1, 1)

        # 4. Compute coefficients for pred_original_image x_0 and current image x_t
        # See formula (7) from https://arxiv.org/pdf/2006.11239.pdf
        pred_original_image_coeff = (alpha_prod_t_prev.sqrt() * self.get_beta(t)) / beta_prod_t
        current_image_coeff = self.get_alpha(t).sqrt() * beta_prod_t_prev / beta_prod_t

        # 5. Compute predicted previous image µ_t
        # See formula (7) from https://arxiv.org/pdf/2006.11239.pdf
        pred_prev_image = pred_original_image_coeff * pred_original_image + current_image_coeff * image

        return pred_prev_image

    def sample_noise(self, shape, device, generator=None):
        # always sample on CPU to be deterministic
        return torch.randn(shape, generator=generator).to(device)

    def __len__(self):
        return self.num_timesteps