chore: import upstream snapshot with attribution
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# Copyright 2022 Twitter, Inc and Zhendong Wang.
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# SPDX-License-Identifier: Apache-2.0
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import copy
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import numpy as np
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import torch
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import torch.nn as nn
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import torch.nn.functional as F
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from agents.helpers import (cosine_beta_schedule,
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linear_beta_schedule,
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vp_beta_schedule,
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extract,
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Losses)
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from utils.utils import Progress, Silent
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class Diffusion(nn.Module):
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def __init__(self, state_dim, action_dim, model, max_action,
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beta_schedule='linear', n_timesteps=100,
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loss_type='l2', clip_denoised=True, predict_epsilon=True):
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super(Diffusion, self).__init__()
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self.state_dim = state_dim
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self.action_dim = action_dim
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self.max_action = max_action
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self.model = model
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if beta_schedule == 'linear':
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betas = linear_beta_schedule(n_timesteps)
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elif beta_schedule == 'cosine':
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betas = cosine_beta_schedule(n_timesteps)
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elif beta_schedule == 'vp':
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betas = vp_beta_schedule(n_timesteps)
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alphas = 1. - betas
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alphas_cumprod = torch.cumprod(alphas, axis=0)
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alphas_cumprod_prev = torch.cat([torch.ones(1), alphas_cumprod[:-1]])
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self.n_timesteps = int(n_timesteps)
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self.clip_denoised = clip_denoised
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self.predict_epsilon = predict_epsilon
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self.register_buffer('betas', betas)
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self.register_buffer('alphas_cumprod', alphas_cumprod)
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self.register_buffer('alphas_cumprod_prev', alphas_cumprod_prev)
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# calculations for diffusion q(x_t | x_{t-1}) and others
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self.register_buffer('sqrt_alphas_cumprod', torch.sqrt(alphas_cumprod))
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self.register_buffer('sqrt_one_minus_alphas_cumprod', torch.sqrt(1. - alphas_cumprod))
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self.register_buffer('log_one_minus_alphas_cumprod', torch.log(1. - alphas_cumprod))
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self.register_buffer('sqrt_recip_alphas_cumprod', torch.sqrt(1. / alphas_cumprod))
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self.register_buffer('sqrt_recipm1_alphas_cumprod', torch.sqrt(1. / alphas_cumprod - 1))
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# calculations for posterior q(x_{t-1} | x_t, x_0)
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posterior_variance = betas * (1. - alphas_cumprod_prev) / (1. - alphas_cumprod)
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self.register_buffer('posterior_variance', posterior_variance)
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## log calculation clipped because the posterior variance
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## is 0 at the beginning of the diffusion chain
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self.register_buffer('posterior_log_variance_clipped',
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torch.log(torch.clamp(posterior_variance, min=1e-20)))
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self.register_buffer('posterior_mean_coef1',
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betas * np.sqrt(alphas_cumprod_prev) / (1. - alphas_cumprod))
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self.register_buffer('posterior_mean_coef2',
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(1. - alphas_cumprod_prev) * np.sqrt(alphas) / (1. - alphas_cumprod))
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self.loss_fn = Losses[loss_type]()
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# ------------------------------------------ sampling ------------------------------------------#
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def predict_start_from_noise(self, x_t, t, noise):
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'''
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if self.predict_epsilon, model output is (scaled) noise;
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otherwise, model predicts x0 directly
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'''
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if self.predict_epsilon:
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return (
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extract(self.sqrt_recip_alphas_cumprod, t, x_t.shape) * x_t -
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extract(self.sqrt_recipm1_alphas_cumprod, t, x_t.shape) * noise
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)
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else:
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return noise
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def q_posterior(self, x_start, x_t, t):
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posterior_mean = (
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extract(self.posterior_mean_coef1, t, x_t.shape) * x_start +
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extract(self.posterior_mean_coef2, t, x_t.shape) * x_t
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)
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posterior_variance = extract(self.posterior_variance, t, x_t.shape)
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posterior_log_variance_clipped = extract(self.posterior_log_variance_clipped, t, x_t.shape)
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return posterior_mean, posterior_variance, posterior_log_variance_clipped
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def p_mean_variance(self, x, t, s):
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x_recon = self.predict_start_from_noise(x, t=t, noise=self.model(x, t, s))
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if self.clip_denoised:
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x_recon.clamp_(-self.max_action, self.max_action)
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else:
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assert RuntimeError()
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model_mean, posterior_variance, posterior_log_variance = self.q_posterior(x_start=x_recon, x_t=x, t=t)
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return model_mean, posterior_variance, posterior_log_variance
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# @torch.no_grad()
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def p_sample(self, x, t, s):
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b, *_, device = *x.shape, x.device
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model_mean, _, model_log_variance = self.p_mean_variance(x=x, t=t, s=s)
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noise = torch.randn_like(x)
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# no noise when t == 0
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nonzero_mask = (1 - (t == 0).float()).reshape(b, *((1,) * (len(x.shape) - 1)))
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return model_mean + nonzero_mask * (0.5 * model_log_variance).exp() * noise
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# @torch.no_grad()
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def p_sample_loop(self, state, shape, verbose=False, return_diffusion=False):
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device = self.betas.device
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batch_size = shape[0]
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x = torch.randn(shape, device=device)
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if return_diffusion: diffusion = [x]
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progress = Progress(self.n_timesteps) if verbose else Silent()
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for i in reversed(range(0, self.n_timesteps)):
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timesteps = torch.full((batch_size,), i, device=device, dtype=torch.long)
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x = self.p_sample(x, timesteps, state)
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progress.update({'t': i})
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if return_diffusion: diffusion.append(x)
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progress.close()
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if return_diffusion:
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return x, torch.stack(diffusion, dim=1)
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else:
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return x
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# @torch.no_grad()
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def sample(self, state, *args, **kwargs):
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batch_size = state.shape[0]
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shape = (batch_size, self.action_dim)
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action = self.p_sample_loop(state, shape, *args, **kwargs)
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return action.clamp_(-self.max_action, self.max_action)
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# ------------------------------------------ training ------------------------------------------#
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def q_sample(self, x_start, t, noise=None):
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if noise is None:
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noise = torch.randn_like(x_start)
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sample = (
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extract(self.sqrt_alphas_cumprod, t, x_start.shape) * x_start +
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extract(self.sqrt_one_minus_alphas_cumprod, t, x_start.shape) * noise
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)
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return sample
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def p_losses(self, x_start, state, t, weights=1.0):
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noise = torch.randn_like(x_start)
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x_noisy = self.q_sample(x_start=x_start, t=t, noise=noise)
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x_recon = self.model(x_noisy, t, state)
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assert noise.shape == x_recon.shape
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if self.predict_epsilon:
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loss = self.loss_fn(x_recon, noise, weights)
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else:
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loss = self.loss_fn(x_recon, x_start, weights)
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return loss
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def loss(self, x, state, weights=1.0):
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batch_size = len(x)
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t = torch.randint(0, self.n_timesteps, (batch_size,), device=x.device).long()
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return self.p_losses(x, state, t, weights)
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def forward(self, state, *args, **kwargs):
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return self.sample(state, *args, **kwargs)
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