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@@ -6,6 +6,7 @@ from torch.special import expm1
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from tqdm import tqdm
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from einops import rearrange, repeat
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from einops.layers.torch import Rearrange
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# helpers
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@@ -33,6 +34,24 @@ def right_pad_dims_to(x, t):
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return t
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return t.view(*t.shape, *((1,) * padding_dims))
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# neural net helpers
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class Residual(nn.Module):
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def __init__(self, fn):
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super().__init__()
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self.fn = fn
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def forward(self, x):
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return x + self.fn(x)
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class MonotonicLinear(nn.Module):
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def __init__(self, *args, **kwargs):
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super().__init__()
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self.net = nn.Linear(*args, **kwargs)
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def forward(self, x):
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return F.linear(x, self.net.weight.abs(), self.net.bias.abs())
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# continuous schedules
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# equations are taken from https://openreview.net/attachment?id=2LdBqxc1Yv&name=supplementary_material
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@@ -47,10 +66,44 @@ def alpha_cosine_log_snr(t):
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raise NotImplementedError
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class learned_noise_schedule(nn.Module):
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def __init__(self):
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""" described in section H and then I.2 of the supplementary material for variational ddpm paper """
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def __init__(
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self,
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*,
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log_snr_max,
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log_snr_min,
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hidden_dim = 1024,
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frac_gradient = 1.
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):
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super().__init__()
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raise NotImplementedError
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# learned noise schedule, using learned monotonic MLP (weights kept positive) in the paper
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self.slope = log_snr_min - log_snr_max
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self.intercept = log_snr_max
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self.net = nn.Sequential(
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Rearrange('... -> ... 1'),
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MonotonicLinear(1, 1),
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Residual(nn.Sequential(
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MonotonicLinear(1, hidden_dim),
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nn.Sigmoid(),
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MonotonicLinear(hidden_dim, 1)
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)),
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Rearrange('... 1 -> ...'),
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)
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self.frac_gradient = frac_gradient
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def forward(self, x):
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frac_gradient = self.frac_gradient
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device = x.device
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out_zero = self.net(torch.zeros_like(x))
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out_one = self.net(torch.ones_like(x))
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x = self.net(x)
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normed = self.slope * ((x - out_zero) / (out_one - out_zero)) + self.intercept
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return normed * frac_gradient + normed.detach() * (1 - frac_gradient)
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class ContinuousTimeGaussianDiffusion(nn.Module):
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def __init__(
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@@ -59,10 +112,11 @@ class ContinuousTimeGaussianDiffusion(nn.Module):
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*,
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image_size,
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channels = 3,
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cond_scale = 500,
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loss_type = 'l1',
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noise_schedule = 'linear',
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num_sample_steps = 500
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num_sample_steps = 500,
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learned_schedule_net_hidden_dim = 1024,
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learned_noise_schedule_frac_gradient = 1. # between 0 and 1, determines what percentage of gradients go back, so one can update the learned noise schedule more slowly
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):
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super().__init__()
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assert not denoise_fn.sinusoidal_cond_mlp
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@@ -76,11 +130,19 @@ class ContinuousTimeGaussianDiffusion(nn.Module):
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# continuous noise schedule related stuff
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self.cond_scale = cond_scale # the log(snr) will be scaled by this value
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self.loss_type = loss_type
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if noise_schedule == 'linear':
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self.log_snr = beta_linear_log_snr
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elif noise_schedule == 'learned':
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log_snr_max, log_snr_min = [beta_linear_log_snr(torch.tensor([time])).item() for time in (0., 1.)]
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self.log_snr = learned_noise_schedule(
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log_snr_max = log_snr_max,
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log_snr_min = log_snr_min,
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hidden_dim = learned_schedule_net_hidden_dim,
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frac_gradient = learned_noise_schedule_frac_gradient
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)
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else:
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raise ValueError(f'unknown noise schedule {noise_schedule}')
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@@ -108,11 +170,6 @@ class ContinuousTimeGaussianDiffusion(nn.Module):
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# todo - derive x_start from the posterior mean and do dynamic thresholding
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# assumed that is what is going on in Imagen
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batch = x.shape[0]
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batch_time = repeat(time, ' -> b', b = batch)
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pred_noise = self.denoise_fn(x, batch_time * self.cond_scale)
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log_snr = self.log_snr(time)
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log_snr_next = self.log_snr(time_next)
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c = -expm1(log_snr - log_snr_next)
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@@ -120,6 +177,9 @@ class ContinuousTimeGaussianDiffusion(nn.Module):
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squared_alpha, squared_alpha_next = log_snr.sigmoid(), log_snr_next.sigmoid()
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squared_sigma, squared_sigma_next = (-log_snr).sigmoid(), (-log_snr_next).sigmoid()
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batch_log_snr = repeat(log_snr, ' -> b', b = x.shape[0])
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pred_noise = self.denoise_fn(x, batch_log_snr)
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model_mean = sqrt(squared_alpha_next / squared_alpha) * (x - c * sqrt(squared_sigma) * pred_noise)
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posterior_variance = squared_sigma_next * c
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@@ -151,6 +211,7 @@ class ContinuousTimeGaussianDiffusion(nn.Module):
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times_next = steps[i + 1]
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img = self.p_sample(img, times, times_next)
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img.clamp_(-1., 1.)
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img = unnormalize_to_zero_to_one(img)
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return img
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@@ -180,7 +241,7 @@ class ContinuousTimeGaussianDiffusion(nn.Module):
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x, log_snr = self.q_sample(x_start = x_start, times = times, noise = noise)
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model_out = self.denoise_fn(x, log_snr * self.cond_scale)
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model_out = self.denoise_fn(x, log_snr)
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return self.loss_fn(model_out, noise)
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def forward(self, img, *args, **kwargs):
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