2023-01-03 06:53:32 +00:00
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import math
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import torch
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from torch import nn
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from . import sampling, utils
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class VDenoiser(nn.Module):
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"""A v-diffusion-pytorch model wrapper for k-diffusion."""
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def __init__(self, inner_model):
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super().__init__()
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self.inner_model = inner_model
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self.sigma_data = 1.
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def get_scalings(self, sigma):
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c_skip = self.sigma_data ** 2 / (sigma ** 2 + self.sigma_data ** 2)
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c_out = -sigma * self.sigma_data / (sigma ** 2 + self.sigma_data ** 2) ** 0.5
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c_in = 1 / (sigma ** 2 + self.sigma_data ** 2) ** 0.5
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return c_skip, c_out, c_in
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def sigma_to_t(self, sigma):
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return sigma.atan() / math.pi * 2
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def t_to_sigma(self, t):
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return (t * math.pi / 2).tan()
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def loss(self, input, noise, sigma, **kwargs):
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c_skip, c_out, c_in = [utils.append_dims(x, input.ndim) for x in self.get_scalings(sigma)]
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noised_input = input + noise * utils.append_dims(sigma, input.ndim)
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model_output = self.inner_model(noised_input * c_in, self.sigma_to_t(sigma), **kwargs)
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target = (input - c_skip * noised_input) / c_out
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return (model_output - target).pow(2).flatten(1).mean(1)
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def forward(self, input, sigma, **kwargs):
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c_skip, c_out, c_in = [utils.append_dims(x, input.ndim) for x in self.get_scalings(sigma)]
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return self.inner_model(input * c_in, self.sigma_to_t(sigma), **kwargs) * c_out + input * c_skip
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class DiscreteSchedule(nn.Module):
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"""A mapping between continuous noise levels (sigmas) and a list of discrete noise
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levels."""
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def __init__(self, sigmas, quantize):
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super().__init__()
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self.register_buffer('sigmas', sigmas)
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self.register_buffer('log_sigmas', sigmas.log())
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self.quantize = quantize
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@property
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def sigma_min(self):
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return self.sigmas[0]
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@property
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def sigma_max(self):
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return self.sigmas[-1]
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def get_sigmas(self, n=None):
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if n is None:
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return sampling.append_zero(self.sigmas.flip(0))
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t_max = len(self.sigmas) - 1
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t = torch.linspace(t_max, 0, n, device=self.sigmas.device)
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return sampling.append_zero(self.t_to_sigma(t))
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def sigma_to_t(self, sigma, quantize=None):
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quantize = self.quantize if quantize is None else quantize
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log_sigma = sigma.log()
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2023-02-08 16:37:10 +00:00
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dists = log_sigma.to(self.log_sigmas.device) - self.log_sigmas[:, None]
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2023-01-03 06:53:32 +00:00
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if quantize:
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return dists.abs().argmin(dim=0).view(sigma.shape)
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low_idx = dists.ge(0).cumsum(dim=0).argmax(dim=0).clamp(max=self.log_sigmas.shape[0] - 2)
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high_idx = low_idx + 1
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low, high = self.log_sigmas[low_idx], self.log_sigmas[high_idx]
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w = (low - log_sigma) / (low - high)
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w = w.clamp(0, 1)
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t = (1 - w) * low_idx + w * high_idx
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return t.view(sigma.shape)
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def t_to_sigma(self, t):
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t = t.float()
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low_idx = t.floor().long()
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high_idx = t.ceil().long()
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w = t-low_idx if t.device.type == 'mps' else t.frac()
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log_sigma = (1 - w) * self.log_sigmas[low_idx] + w * self.log_sigmas[high_idx]
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return log_sigma.exp()
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class DiscreteEpsDDPMDenoiser(DiscreteSchedule):
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"""A wrapper for discrete schedule DDPM models that output eps (the predicted
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noise)."""
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def __init__(self, model, alphas_cumprod, quantize):
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super().__init__(((1 - alphas_cumprod) / alphas_cumprod) ** 0.5, quantize)
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self.inner_model = model
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self.sigma_data = 1.
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def get_scalings(self, sigma):
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c_out = -sigma
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c_in = 1 / (sigma ** 2 + self.sigma_data ** 2) ** 0.5
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return c_out, c_in
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def get_eps(self, *args, **kwargs):
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return self.inner_model(*args, **kwargs)
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def loss(self, input, noise, sigma, **kwargs):
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c_out, c_in = [utils.append_dims(x, input.ndim) for x in self.get_scalings(sigma)]
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noised_input = input + noise * utils.append_dims(sigma, input.ndim)
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eps = self.get_eps(noised_input * c_in, self.sigma_to_t(sigma), **kwargs)
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return (eps - noise).pow(2).flatten(1).mean(1)
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def forward(self, input, sigma, **kwargs):
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c_out, c_in = [utils.append_dims(x, input.ndim) for x in self.get_scalings(sigma)]
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eps = self.get_eps(input * c_in, self.sigma_to_t(sigma), **kwargs)
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return input + eps * c_out
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class OpenAIDenoiser(DiscreteEpsDDPMDenoiser):
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"""A wrapper for OpenAI diffusion models."""
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def __init__(self, model, diffusion, quantize=False, has_learned_sigmas=True, device='cpu'):
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alphas_cumprod = torch.tensor(diffusion.alphas_cumprod, device=device, dtype=torch.float32)
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super().__init__(model, alphas_cumprod, quantize=quantize)
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self.has_learned_sigmas = has_learned_sigmas
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def get_eps(self, *args, **kwargs):
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model_output = self.inner_model(*args, **kwargs)
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if self.has_learned_sigmas:
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return model_output.chunk(2, dim=1)[0]
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return model_output
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class CompVisDenoiser(DiscreteEpsDDPMDenoiser):
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"""A wrapper for CompVis diffusion models."""
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def __init__(self, model, quantize=False, device='cpu'):
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super().__init__(model, model.alphas_cumprod, quantize=quantize)
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def get_eps(self, *args, **kwargs):
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return self.inner_model.apply_model(*args, **kwargs)
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class DiscreteVDDPMDenoiser(DiscreteSchedule):
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"""A wrapper for discrete schedule DDPM models that output v."""
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def __init__(self, model, alphas_cumprod, quantize):
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super().__init__(((1 - alphas_cumprod) / alphas_cumprod) ** 0.5, quantize)
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self.inner_model = model
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self.sigma_data = 1.
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def get_scalings(self, sigma):
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c_skip = self.sigma_data ** 2 / (sigma ** 2 + self.sigma_data ** 2)
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c_out = -sigma * self.sigma_data / (sigma ** 2 + self.sigma_data ** 2) ** 0.5
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c_in = 1 / (sigma ** 2 + self.sigma_data ** 2) ** 0.5
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return c_skip, c_out, c_in
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def get_v(self, *args, **kwargs):
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return self.inner_model(*args, **kwargs)
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def loss(self, input, noise, sigma, **kwargs):
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c_skip, c_out, c_in = [utils.append_dims(x, input.ndim) for x in self.get_scalings(sigma)]
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noised_input = input + noise * utils.append_dims(sigma, input.ndim)
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model_output = self.get_v(noised_input * c_in, self.sigma_to_t(sigma), **kwargs)
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target = (input - c_skip * noised_input) / c_out
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return (model_output - target).pow(2).flatten(1).mean(1)
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def forward(self, input, sigma, **kwargs):
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c_skip, c_out, c_in = [utils.append_dims(x, input.ndim) for x in self.get_scalings(sigma)]
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return self.get_v(input * c_in, self.sigma_to_t(sigma), **kwargs) * c_out + input * c_skip
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class CompVisVDenoiser(DiscreteVDDPMDenoiser):
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"""A wrapper for CompVis diffusion models that output v."""
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def __init__(self, model, quantize=False, device='cpu'):
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super().__init__(model, model.alphas_cumprod, quantize=quantize)
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def get_v(self, x, t, cond, **kwargs):
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return self.inner_model.apply_model(x, t, cond)
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