| | import math |
| | import torch |
| | import torch.nn as nn |
| | import numpy as np |
| | import torch.nn.functional as F |
| |
|
| | def get_timestep_embedding(timesteps, embedding_dim): |
| | """Build sinusoidal timestep embeddings. |
| | |
| | Args: |
| | timesteps (torch.Tensor): A 1-D Tensor of N timesteps. |
| | embedding_dim (int): The dimension of the embedding. |
| | |
| | Returns: |
| | torch.Tensor: N x embedding_dim Tensor of positional embeddings. |
| | """ |
| | assert len(timesteps.shape) == 1 |
| |
|
| | half_dim = embedding_dim // 2 |
| | emb = np.log(10000) / (half_dim - 1) |
| | emb = torch.exp(torch.arange(half_dim, dtype=torch.float32) * -emb) |
| | emb = emb.cuda() |
| | emb = timesteps.float()[:, None] * emb[None, :] |
| | emb = torch.cat([torch.sin(emb), torch.cos(emb)], dim=1) |
| | if embedding_dim % 2 == 1: |
| | emb = torch.nn.functional.pad(emb, (0, 1, 0, 0)) |
| | return emb |
| |
|
| | class Attention(nn.Module): |
| | """A simple attention layer to get weights for attributes.""" |
| | def __init__(self, embedding_dim): |
| | super(Attention, self).__init__() |
| | self.fc = nn.Linear(embedding_dim, 1) |
| |
|
| | def forward(self, x): |
| | |
| | weights = self.fc(x) |
| | |
| | weights = F.softmax(weights, dim=1) |
| | return weights |
| | |
| | class WideAndDeep(nn.Module): |
| | """Network to combine attribute (start/end points) and prototype embeddings.""" |
| | def __init__(self, in_channels, embedding_dim=512): |
| | super(WideAndDeep, self).__init__() |
| | |
| | |
| | self.start_fc1 = nn.Linear(in_channels, embedding_dim) |
| | self.start_fc2 = nn.Linear(embedding_dim, embedding_dim) |
| | |
| | self.end_fc1 = nn.Linear(in_channels, embedding_dim) |
| | self.end_fc2 = nn.Linear(embedding_dim, embedding_dim) |
| | |
| | |
| | self.prototype_fc1 = nn.Linear(512, embedding_dim) |
| | self.prototype_fc2 = nn.Linear(embedding_dim, embedding_dim) |
| | |
| | self.relu = nn.ReLU() |
| | |
| | def forward(self, attr, prototype): |
| | |
| | |
| | start_point = attr[:, :, 0].float() |
| | end_point = attr[:, :, -1].float() |
| | |
| | |
| | start_x = self.start_fc1(start_point) |
| | start_x = self.relu(start_x) |
| | start_embed = self.start_fc2(start_x) |
| | |
| | |
| | end_x = self.end_fc1(end_point) |
| | end_x = self.relu(end_x) |
| | end_embed = self.end_fc2(end_x) |
| | |
| | |
| | attr_embed = start_embed + end_embed |
| | |
| | |
| | proto_x = self.prototype_fc1(prototype) |
| | proto_x = self.relu(proto_x) |
| | proto_embed = self.prototype_fc2(proto_x) |
| | |
| | |
| | combined_embed = attr_embed + proto_embed |
| | |
| | return combined_embed |
| |
|
| |
|
| | def nonlinearity(x): |
| | |
| | return x * torch.sigmoid(x) |
| |
|
| | def Normalize(in_channels): |
| | """Group normalization.""" |
| | return torch.nn.GroupNorm(num_groups=32, |
| | num_channels=in_channels, |
| | eps=1e-6, |
| | affine=True) |
| | |
| | class Upsample(nn.Module): |
| | """Upsampling layer, optionally with a 1D convolution.""" |
| | def __init__(self, in_channels, with_conv=True): |
| | super().__init__() |
| | self.with_conv = with_conv |
| | if self.with_conv: |
| | self.conv = torch.nn.Conv1d(in_channels, |
| | in_channels, |
| | kernel_size=3, |
| | stride=1, |
| | padding=1) |
| |
|
| | def forward(self, x): |
| | x = torch.nn.functional.interpolate(x, |
| | scale_factor=2.0, |
| | mode="nearest") |
| | if self.with_conv: |
| | x = self.conv(x) |
| | return x |
| |
|
| |
|
| | class Downsample(nn.Module): |
| | """Downsampling layer, optionally with a 1D convolution.""" |
| | def __init__(self, in_channels, with_conv=True): |
| | super().__init__() |
| | self.with_conv = with_conv |
| | if self.with_conv: |
| | |
| | self.conv = torch.nn.Conv1d(in_channels, |
| | in_channels, |
| | kernel_size=3, |
| | stride=2, |
| | padding=0) |
| |
|
| | def forward(self, x): |
| | if self.with_conv: |
| | pad = (1, 1) |
| | x = torch.nn.functional.pad(x, pad, mode="constant", value=0) |
| | x = self.conv(x) |
| | else: |
| | x = torch.nn.functional.avg_pool2d(x, kernel_size=2, stride=2) |
| | return x |
| |
|
| |
|
| | class ResnetBlock(nn.Module): |
| | """Residual block for the U-Net.""" |
| | def __init__(self, |
| | in_channels, |
| | out_channels=None, |
| | conv_shortcut=False, |
| | dropout=0.1, |
| | temb_channels=512): |
| | super().__init__() |
| | self.in_channels = in_channels |
| | out_channels = in_channels if out_channels is None else out_channels |
| | self.out_channels = out_channels |
| | self.use_conv_shortcut = conv_shortcut |
| |
|
| | self.norm1 = Normalize(in_channels) |
| | self.conv1 = torch.nn.Conv1d(in_channels, |
| | out_channels, |
| | kernel_size=3, |
| | stride=1, |
| | padding=1) |
| | self.temb_proj = torch.nn.Linear(temb_channels, out_channels) |
| | self.norm2 = Normalize(out_channels) |
| | self.dropout = torch.nn.Dropout(dropout) |
| | self.conv2 = torch.nn.Conv1d(out_channels, |
| | out_channels, |
| | kernel_size=3, |
| | stride=1, |
| | padding=1) |
| | if self.in_channels != self.out_channels: |
| | if self.use_conv_shortcut: |
| | self.conv_shortcut = torch.nn.Conv1d(in_channels, |
| | out_channels, |
| | kernel_size=3, |
| | stride=1, |
| | padding=1) |
| | else: |
| | self.nin_shortcut = torch.nn.Conv1d(in_channels, |
| | out_channels, |
| | kernel_size=1, |
| | stride=1, |
| | padding=0) |
| |
|
| | def forward(self, x, temb): |
| | h = x |
| | h = self.norm1(h) |
| | h = nonlinearity(h) |
| | h = self.conv1(h) |
| | h = h + self.temb_proj(nonlinearity(temb))[:, :, None] |
| | h = self.norm2(h) |
| | h = nonlinearity(h) |
| | h = self.dropout(h) |
| | h = self.conv2(h) |
| |
|
| | if self.in_channels != self.out_channels: |
| | if self.use_conv_shortcut: |
| | x = self.conv_shortcut(x) |
| | else: |
| | x = self.nin_shortcut(x) |
| |
|
| | return x + h |
| |
|
| |
|
| | class AttnBlock(nn.Module): |
| | """Self-attention block for the U-Net.""" |
| | def __init__(self, in_channels): |
| | super().__init__() |
| | self.in_channels = in_channels |
| |
|
| | self.norm = Normalize(in_channels) |
| | self.q = torch.nn.Conv1d(in_channels, |
| | in_channels, |
| | kernel_size=1, |
| | stride=1, |
| | padding=0) |
| | self.k = torch.nn.Conv1d(in_channels, |
| | in_channels, |
| | kernel_size=1, |
| | stride=1, |
| | padding=0) |
| | self.v = torch.nn.Conv1d(in_channels, |
| | in_channels, |
| | kernel_size=1, |
| | stride=1, |
| | padding=0) |
| | self.proj_out = torch.nn.Conv1d(in_channels, |
| | in_channels, |
| | kernel_size=1, |
| | stride=1, |
| | padding=0) |
| |
|
| | def forward(self, x): |
| | h_ = x |
| | h_ = self.norm(h_) |
| | q = self.q(h_) |
| | k = self.k(h_) |
| | v = self.v(h_) |
| | b, c, w = q.shape |
| | q = q.permute(0, 2, 1) |
| | w_ = torch.bmm(q, k) |
| | w_ = w_ * (int(c)**(-0.5)) |
| | w_ = torch.nn.functional.softmax(w_, dim=2) |
| | |
| | w_ = w_.permute(0, 2, 1) |
| | h_ = torch.bmm(v, w_) |
| | h_ = h_.reshape(b, c, w) |
| |
|
| | h_ = self.proj_out(h_) |
| |
|
| | return x + h_ |
| | |
| | |
| | class Model(nn.Module): |
| | """The core U-Net model for the diffusion process.""" |
| | def __init__(self, config): |
| | super(Model, self).__init__() |
| | self.config = config |
| | ch, out_ch, ch_mult = config.model.ch, config.model.out_ch, tuple(config.model.ch_mult) |
| | num_res_blocks = config.model.num_res_blocks |
| | attn_resolutions = config.model.attn_resolutions |
| | dropout = config.model.dropout |
| | in_channels = config.model.in_channels |
| | resolution = config.data.traj_length |
| | resamp_with_conv = config.model.resamp_with_conv |
| | num_timesteps = config.diffusion.num_diffusion_timesteps |
| | |
| | if config.model.type == 'bayesian': |
| | self.logvar = nn.Parameter(torch.zeros(num_timesteps)) |
| | |
| | self.ch = ch |
| | self.temb_ch = self.ch * 4 |
| | self.num_resolutions = len(ch_mult) |
| | self.num_res_blocks = num_res_blocks |
| | self.resolution = resolution |
| | self.in_channels = in_channels |
| | |
| | |
| | self.temb = nn.Module() |
| | self.temb.dense = nn.ModuleList([ |
| | torch.nn.Linear(self.ch, self.temb_ch), |
| | torch.nn.Linear(self.temb_ch, self.temb_ch), |
| | ]) |
| |
|
| | |
| | self.conv_in = torch.nn.Conv1d(in_channels, |
| | self.ch, |
| | kernel_size=3, |
| | stride=1, |
| | padding=1) |
| |
|
| | curr_res = resolution |
| | in_ch_mult = (1, ) + ch_mult |
| | self.down = nn.ModuleList() |
| | block_in = None |
| | for i_level in range(self.num_resolutions): |
| | block = nn.ModuleList() |
| | attn = nn.ModuleList() |
| | block_in = ch * in_ch_mult[i_level] |
| | block_out = ch * ch_mult[i_level] |
| | for i_block in range(self.num_res_blocks): |
| | block.append( |
| | ResnetBlock(in_channels=block_in, |
| | out_channels=block_out, |
| | temb_channels=self.temb_ch, |
| | dropout=dropout)) |
| | block_in = block_out |
| | if curr_res in attn_resolutions: |
| | attn.append(AttnBlock(block_in)) |
| | down = nn.Module() |
| | down.block = block |
| | down.attn = attn |
| | if i_level != self.num_resolutions - 1: |
| | down.downsample = Downsample(block_in, resamp_with_conv) |
| | curr_res = curr_res // 2 |
| | self.down.append(down) |
| |
|
| | |
| | self.mid = nn.Module() |
| | self.mid.block_1 = ResnetBlock(in_channels=block_in, |
| | out_channels=block_in, |
| | temb_channels=self.temb_ch, |
| | dropout=dropout) |
| | self.mid.attn_1 = AttnBlock(block_in) |
| | self.mid.block_2 = ResnetBlock(in_channels=block_in, |
| | out_channels=block_in, |
| | temb_channels=self.temb_ch, |
| | dropout=dropout) |
| |
|
| | |
| | self.up = nn.ModuleList() |
| | for i_level in reversed(range(self.num_resolutions)): |
| | block = nn.ModuleList() |
| | attn = nn.ModuleList() |
| | block_out = ch * ch_mult[i_level] |
| | skip_in = ch * ch_mult[i_level] |
| | for i_block in range(self.num_res_blocks + 1): |
| | if i_block == self.num_res_blocks: |
| | skip_in = ch * in_ch_mult[i_level] |
| | block.append( |
| | ResnetBlock(in_channels=block_in + skip_in, |
| | out_channels=block_out, |
| | temb_channels=self.temb_ch, |
| | dropout=dropout)) |
| | block_in = block_out |
| | if curr_res in attn_resolutions: |
| | attn.append(AttnBlock(block_in)) |
| | up = nn.Module() |
| | up.block = block |
| | up.attn = attn |
| | if i_level != 0: |
| | up.upsample = Upsample(block_in, resamp_with_conv) |
| | curr_res = curr_res * 2 |
| | self.up.insert(0, up) |
| |
|
| | |
| | self.norm_out = Normalize(block_in) |
| | self.conv_out = torch.nn.Conv1d(block_in, |
| | out_ch, |
| | kernel_size=3, |
| | stride=1, |
| | padding=1) |
| | |
| | def forward(self, x, t, extra_embed=None): |
| | assert x.shape[2] == self.resolution |
| |
|
| | |
| | temb = get_timestep_embedding(t, self.ch) |
| | temb = self.temb.dense[0](temb) |
| | temb = nonlinearity(temb) |
| | temb = self.temb.dense[1](temb) |
| | if extra_embed is not None: |
| | temb = temb + extra_embed |
| |
|
| | |
| | hs = [self.conv_in(x)] |
| | |
| | for i_level in range(self.num_resolutions): |
| | for i_block in range(self.num_res_blocks): |
| | h = self.down[i_level].block[i_block](hs[-1], temb) |
| | |
| | if len(self.down[i_level].attn) > 0: |
| | h = self.down[i_level].attn[i_block](h) |
| | hs.append(h) |
| | if i_level != self.num_resolutions - 1: |
| | hs.append(self.down[i_level].downsample(hs[-1])) |
| |
|
| | |
| | |
| | |
| | h = hs[-1] |
| | h = self.mid.block_1(h, temb) |
| | h = self.mid.attn_1(h) |
| | h = self.mid.block_2(h, temb) |
| | |
| | |
| | for i_level in reversed(range(self.num_resolutions)): |
| | for i_block in range(self.num_res_blocks + 1): |
| | ht = hs.pop() |
| | if ht.size(-1) != h.size(-1): |
| | |
| | h = torch.nn.functional.pad(h, |
| | (0, ht.size(-1) - h.size(-1))) |
| | h = self.up[i_level].block[i_block](torch.cat([h, ht], dim=1), |
| | temb) |
| | |
| | if len(self.up[i_level].attn) > 0: |
| | h = self.up[i_level].attn[i_block](h) |
| | if i_level != 0: |
| | h = self.up[i_level].upsample(h) |
| |
|
| | |
| | h = self.norm_out(h) |
| | h = nonlinearity(h) |
| | h = self.conv_out(h) |
| | return h |
| | |
| | class Guide_UNet(nn.Module): |
| | """A U-Net model guided by attribute and prototype embeddings.""" |
| | def __init__(self, config): |
| | super(Guide_UNet, self).__init__() |
| | self.config = config |
| | self.in_channels = config.model.in_channels |
| | self.ch = config.model.ch * 4 |
| | self.attr_dim = config.model.attr_dim |
| | self.guidance_scale = config.model.guidance_scale |
| | self.unet = Model(config) |
| | self.guide_emb = WideAndDeep(self.in_channels, self.ch) |
| | self.place_emb = WideAndDeep(self.in_channels, self.ch) |
| | |
| | def forward(self, x, t, attr, prototype): |
| | guide_emb = self.guide_emb(attr, prototype) |
| | |
| | target_device = attr.device |
| | place_vector = torch.zeros(attr.shape, device=target_device) |
| | place_prototype = torch.zeros(prototype.shape, device=target_device) |
| | |
| | place_emb = self.place_emb(place_vector, place_prototype) |
| | |
| | cond_noise = self.unet(x, t, guide_emb) |
| | uncond_noise = self.unet(x, t, place_emb) |
| | |
| | |
| | pred_noise = cond_noise + self.guidance_scale * (cond_noise - |
| | uncond_noise) |
| | return pred_noise |
| | |
| | |
| | class WeightedLoss(nn.Module): |
| | """Base class for weighted losses.""" |
| | def __init__(self): |
| | super(WeightedLoss, self).__init__() |
| | |
| | def forward(self, pred, target, weighted=1.0): |
| | """ |
| | pred, target:[batch_size, 2, traj_length] |
| | """ |
| | loss = self._loss(pred, target) |
| | weightedLoss = (loss * weighted).mean() |
| | |
| | |
| | return weightedLoss |
| | |
| | class WeightedL1(WeightedLoss): |
| | """Weighted L1 Loss (Mean Absolute Error).""" |
| | def _loss(self, pred, target): |
| | return torch.abs(pred - target) |
| |
|
| |
|
| | class WeightedL2(WeightedLoss): |
| | """Weighted L2 Loss (Mean Squared Error).""" |
| | def _loss(self, pred, target): |
| | return F.mse_loss(pred, target, reduction='none') |
| |
|
| | class WeightedL3(WeightedLoss): |
| | """A custom weighted L3-like loss, where weights depend on the error magnitude.""" |
| | def __init__(self, base_weight=1000.0, scale_factor=10000.0): |
| | super(WeightedL3, self).__init__() |
| | self.base_weight = base_weight |
| | self.scale_factor = scale_factor |
| |
|
| | def _loss(self, pred, target): |
| | error = F.mse_loss(pred, target, reduction='none') |
| | weight = self.base_weight + self.scale_factor * error |
| | loss = weight * torch.abs(pred - target) |
| | return loss |
| | Losses = { |
| | 'l1': WeightedL1, |
| | 'l2': WeightedL2, |
| | 'l3': WeightedL3, |
| | } |
| |
|
| | def extract(a, t, x_shape): |
| | """Extracts values from a (typically constants like alphas) at given timesteps t |
| | and reshapes them to match the batch shape x_shape. |
| | """ |
| | b, *_ = t.shape |
| | out = a.gather(-1, t) |
| | return out.reshape(b, *((1,) * (len(x_shape) - 1))) |
| |
|
| |
|
| | class Diffusion(nn.Module): |
| | """Denoising Diffusion Probabilistic Model (DDPM). |
| | This class now also includes DDIM sampling capabilities. |
| | """ |
| | def __init__(self, loss_type, config, clip_denoised=True, predict_epsilon=True, **kwargs): |
| | super(Diffusion, self).__init__() |
| | self.predict_epsilon = predict_epsilon |
| | self.T = config.diffusion.num_diffusion_timesteps |
| | self.model = Guide_UNet(config) |
| | self.beta_schedule = config.diffusion.beta_schedule |
| | self.beta_start = config.diffusion.beta_start |
| | self.beta_end = config.diffusion.beta_end |
| | |
| | if self.beta_schedule == "linear": |
| | betas = torch.linspace(self.beta_start, self.beta_end, self.T, dtype=torch.float32) |
| | elif self.beta_schedule == "cosine": |
| | |
| | pass |
| | else: |
| | raise ValueError(f"Unsupported beta_schedule: {self.beta_schedule}") |
| | |
| | alphas = 1.0 - betas |
| | alpha_cumprod = torch.cumprod(alphas, axis=0) |
| | alpha_cumprod_prev = torch.cat([torch.ones(1, device=betas.device), alpha_cumprod[:-1]]) |
| |
|
| | self.register_buffer("betas", betas) |
| | self.register_buffer("alphas", alphas) |
| | self.register_buffer("alpha_cumprod", alpha_cumprod) |
| | self.register_buffer("alpha_cumprod_prev", alpha_cumprod_prev) |
| | |
| | |
| | self.register_buffer("sqrt_alphas_cumprod", torch.sqrt(alpha_cumprod)) |
| | self.register_buffer("sqrt_one_minus_alphas_cumprod", torch.sqrt(1.0 - alpha_cumprod)) |
| | |
| | |
| | posterior_variance = betas * (1.0 - alpha_cumprod_prev) / (1.0 - alpha_cumprod) |
| | self.register_buffer("posterior_variance", posterior_variance) |
| | self.register_buffer("posterior_log_variance_clipped", torch.log(posterior_variance.clamp(min=1e-20))) |
| | self.register_buffer("posterior_mean_coef1", betas * torch.sqrt(alpha_cumprod_prev) / (1.0 - alpha_cumprod)) |
| | self.register_buffer("posterior_mean_coef2", (1.0 - alpha_cumprod_prev) * torch.sqrt(alphas) / (1.0 - alpha_cumprod)) |
| | |
| | |
| | self.register_buffer("sqrt_recip_alphas_cumprod", torch.sqrt(1.0 / alpha_cumprod)) |
| | self.register_buffer("sqrt_recipminus_alphas_cumprod", torch.sqrt(1.0 / alpha_cumprod - 1)) |
| | |
| | self.loss_fn = Losses[loss_type]() |
| | |
| | def q_posterior(self, x_start, x, t): |
| | """Compute the mean, variance, and log variance of the posterior q(x_{t-1} | x_t, x_0).""" |
| | posterior_mean = ( |
| | extract(self.posterior_mean_coef1, t, x.shape) * x_start |
| | + extract(self.posterior_mean_coef2, t, x.shape) * x |
| | ) |
| | posterior_variance = extract(self.posterior_variance, t, x.shape) |
| | posterior_log_variance = extract(self.posterior_log_variance_clipped, t, x.shape) |
| | return posterior_mean, posterior_variance, posterior_log_variance |
| |
|
| | def predict_start_from_noise(self, x, t, pred_noise): |
| | """Compute x_0 from x_t and predicted noise epsilon_theta(x_t, t). |
| | Used by both DDPM and DDIM. |
| | """ |
| | return ( |
| | extract(self.sqrt_recip_alphas_cumprod, t, x.shape) * x |
| | - extract(self.sqrt_recipminus_alphas_cumprod, t, x.shape) * pred_noise |
| | ) |
| |
|
| | def p_mean_variance(self, x, t, attr, prototype): |
| | """Compute the mean and variance of the reverse process p_theta(x_{t-1} | x_t).""" |
| | pred_noise = self.model(x, t, attr, prototype) |
| | x_recon = self.predict_start_from_noise(x, t, pred_noise) |
| | model_mean, posterior_variance, posterior_log_variance = self.q_posterior(x_recon, x, t) |
| | return model_mean, posterior_log_variance |
| |
|
| | def p_sample(self, x, t, attr, prototype, start_end_info): |
| | """Sample x_{t-1} from the model p_theta(x_{t-1} | x_t) (DDPM step).""" |
| | b = x.shape[0] |
| | model_mean, model_log_variance = self.p_mean_variance(x, t, attr, prototype) |
| | noise = torch.randn_like(x) |
| |
|
| | nonzero_mask = (1 - (t == 0).float()).reshape(b, *((1,) * (len(x.shape) - 1))) |
| | x = model_mean + nonzero_mask * (0.5 * model_log_variance).exp() * noise |
| |
|
| | |
| | x[:, :, 0] = start_end_info[:, :, 0] |
| | x[:, :, -1] = start_end_info[:, :, -1] |
| | return x |
| |
|
| | def p_sample_loop(self, test_x0, attr, prototype, *args, **kwargs): |
| | """DDPM sampling loop to generate x_0 from x_T (noise).""" |
| | batch_size = attr.shape[0] |
| | device = attr.device |
| |
|
| | x = torch.randn(attr.shape, requires_grad=False, device=device) |
| | start_end_info = test_x0.clone() |
| | |
| | |
| | x[:, :, 0] = start_end_info[:, :, 0] |
| | x[:, :, -1] = start_end_info[:, :, -1] |
| | |
| | for i in reversed(range(0, self.T)): |
| | t = torch.full((batch_size,), i, dtype=torch.long, device=device) |
| | x = self.p_sample(x, t, attr, prototype, start_end_info) |
| | return x |
| |
|
| | |
| | def ddim_sample(self, x, t, t_prev, attr, prototype, start_end_info, eta=0.0): |
| | """ |
| | DDIM sampling step from t to t_prev. |
| | eta: Controls stochasticity. 0 for DDIM (deterministic), 1 for DDPM-like (stochastic). |
| | """ |
| | |
| | self.model.to(x.device) |
| | |
| | pred_noise = self.model(x, t, attr, prototype) |
| | x_0_pred = self.predict_start_from_noise(x, t, pred_noise) |
| | |
| | x_0_pred[:, :, 0] = start_end_info[:, :, 0] |
| | x_0_pred[:, :, -1] = start_end_info[:, :, -1] |
| | |
| | alpha_cumprod_t = extract(self.alpha_cumprod, t, x.shape) |
| | alpha_cumprod_t_prev = extract(self.alpha_cumprod, t_prev, x.shape) if t_prev.all() >= 0 else torch.ones_like(alpha_cumprod_t) |
| | |
| | sigma_t = eta * torch.sqrt((1 - alpha_cumprod_t_prev) / (1 - alpha_cumprod_t) * (1 - alpha_cumprod_t / alpha_cumprod_t_prev)) |
| | |
| | c1 = torch.sqrt(alpha_cumprod_t_prev) |
| | c2 = torch.sqrt(1 - alpha_cumprod_t_prev - sigma_t**2) |
| | |
| | noise_cond = torch.zeros_like(x) |
| | if eta > 0: |
| | noise_cond = torch.randn_like(x) |
| | noise_cond[:, :, 0] = 0 |
| | noise_cond[:, :, -1] = 0 |
| | |
| | x_prev = c1 * x_0_pred + c2 * pred_noise + sigma_t * noise_cond |
| | |
| | x_prev[:, :, 0] = start_end_info[:, :, 0] |
| | x_prev[:, :, -1] = start_end_info[:, :, -1] |
| | |
| | return x_prev |
| | |
| | def ddim_sample_loop(self, test_x0, attr, prototype, num_steps=50, eta=0.0): |
| | """ |
| | DDIM sampling loop. Can use fewer steps than original diffusion process. |
| | num_steps: Number of sampling steps (can be less than self.T). |
| | eta: Controls stochasticity (0 for deterministic, 1 for fully stochastic). |
| | """ |
| | batch_size = attr.shape[0] |
| | device = attr.device |
| | |
| | x = torch.randn(attr.shape, requires_grad=False, device=device) |
| | start_end_info = test_x0.clone() |
| | |
| | x[:, :, 0] = start_end_info[:, :, 0] |
| | x[:, :, -1] = start_end_info[:, :, -1] |
| | |
| | times = torch.linspace(self.T - 1, 0, num_steps + 1, device=device).long() |
| | |
| | for i in range(num_steps): |
| | t = times[i] |
| | t_next = times[i + 1] |
| | |
| | t_tensor = torch.full((batch_size,), t.item(), dtype=torch.long, device=device) |
| | t_next_tensor = torch.full((batch_size,), t_next.item(), dtype=torch.long, device=device) |
| | |
| | x = self.ddim_sample(x, t_tensor, t_next_tensor, attr, prototype, start_end_info, eta) |
| | |
| | return x |
| |
|
| | |
| | def sample(self, test_x0, attr, prototype, sampling_type='ddpm', |
| | ddim_num_steps=50, ddim_eta=0.0, *args, **kwargs): |
| | """Generate samples using either DDPM or DDIM. |
| | |
| | Args: |
| | test_x0 (torch.Tensor): Tensor containing ground truth data, primarily used for start/end points. |
| | attr (torch.Tensor): Attributes for conditioning. |
| | prototype (torch.Tensor): Prototypes for conditioning. |
| | sampling_type (str, optional): 'ddpm' or 'ddim'. Defaults to 'ddpm'. |
| | ddim_num_steps (int, optional): Number of steps for DDIM sampling. Defaults to 50. |
| | ddim_eta (float, optional): Eta for DDIM sampling. Defaults to 0.0. |
| | """ |
| | self.model.eval() |
| | with torch.no_grad(): |
| | if sampling_type == 'ddpm': |
| | return self.p_sample_loop(test_x0, attr, prototype, *args, **kwargs) |
| | elif sampling_type == 'ddim': |
| | return self.ddim_sample_loop(test_x0, attr, prototype, |
| | num_steps=ddim_num_steps, eta=ddim_eta) |
| | else: |
| | raise ValueError(f"Unsupported sampling_type: {sampling_type}. Choose 'ddpm' or 'ddim'.") |
| |
|
| | |
| | def q_sample(self, x_start, t, noise): |
| | """Sample x_t from x_0 using q(x_t | x_0) = sqrt(alpha_bar_t)x_0 + sqrt(1-alpha_bar_t)noise.""" |
| | sample = ( |
| | extract(self.sqrt_alphas_cumprod, t, x_start.shape) * x_start + |
| | extract(self.sqrt_one_minus_alphas_cumprod, t, x_start.shape) * noise |
| | ) |
| | |
| | sample[:, :, 0] = x_start[:, :, 0] |
| | sample[:, :, -1] = x_start[:, :, -1] |
| | return sample |
| |
|
| | def p_losses(self, x_start, attr, prototype, t, weights=1.0): |
| | """Calculate the diffusion loss (typically MSE between predicted noise and actual noise). |
| | This is common for both DDPM and DDIM training. |
| | """ |
| | noise = torch.randn_like(x_start) |
| | |
| | noise[:, :, 0] = 0 |
| | noise[:, :, -1] = 0 |
| | |
| | x_noisy = self.q_sample(x_start=x_start, t=t, noise=noise) |
| |
|
| | x_recon = self.model(x_noisy, t, attr, prototype) |
| | assert noise.shape == x_recon.shape |
| |
|
| | if self.predict_epsilon: |
| | |
| | loss = self.loss_fn(x_recon[:, :, 1:-1], noise[:, :, 1:-1], weights) |
| | else: |
| | |
| | loss = self.loss_fn(x_recon[:, :, 1:-1], x_start[:, :, 1:-1], weights) |
| |
|
| | return loss |
| |
|
| | def trainer(self, x, attr, prototype, weights=1.0): |
| | """Performs a single training step. Common for DDPM and DDIM.""" |
| | self.model.train() |
| | batch_size = len(x) |
| | t = torch.randint(0, self.T, (batch_size,), device=x.device).long() |
| | return self.p_losses(x, attr, prototype, t, weights) |
| |
|
| | def forward(self, test_x0, attr, prototype, sampling_type='ddpm', |
| | ddim_num_steps=50, ddim_eta=0.0, *args, **kwargs): |
| | """Default forward pass calls the unified sampling method.""" |
| | return self.sample(test_x0, attr, prototype, |
| | sampling_type=sampling_type, |
| | ddim_num_steps=ddim_num_steps, |
| | ddim_eta=ddim_eta, |
| | *args, **kwargs) |
| |
|