import math from typing import NamedTuple import numpy as np import torch import torch.nn as nn from timm.models.vision_transformer import Attention, PatchEmbed import torch.nn.functional as F from timm.layers import resample_abs_pos_embed from .mlp import Mlp class DitOutput(NamedTuple): sample: torch.Tensor def build_mlp(hidden_size, projector_dim, z_dim): return nn.Sequential( nn.Linear(hidden_size, projector_dim), nn.SiLU(), nn.Linear(projector_dim, projector_dim), nn.SiLU(), nn.Linear(projector_dim, z_dim), ) def modulate(x, shift, scale): return x * (1 + scale.unsqueeze(1)) + shift.unsqueeze(1) ################################################################################# # Embedding Layers for Timesteps and Class Labels # ################################################################################# class TimestepEmbedder(nn.Module): """ Embeds scalar timesteps into vector representations. """ def __init__(self, hidden_size, frequency_embedding_size=256): super().__init__() self.mlp = nn.Sequential( nn.Linear(frequency_embedding_size, hidden_size, bias=True), nn.SiLU(), nn.Linear(hidden_size, hidden_size, bias=True), ) self.frequency_embedding_size = frequency_embedding_size @staticmethod def timestep_embedding(t, dim, max_period=10000): """ Create sinusoidal timestep embeddings. :param t: a 1-D Tensor of N indices, one per batch element. These may be fractional. :param dim: the dimension of the output. :param max_period: controls the minimum frequency of the embeddings. :return: an (N, D) Tensor of positional embeddings. """ # https://github.com/openai/glide-text2im/blob/main/glide_text2im/nn.py half = dim // 2 freqs = torch.exp( -math.log(max_period) * torch.arange(start=0, end=half, dtype=torch.float32) / half ).to(device=t.device) args = t[:, None].float() * freqs[None] embedding = torch.cat([torch.cos(args), torch.sin(args)], dim=-1) if dim % 2: embedding = torch.cat([embedding, torch.zeros_like(embedding[:, :1])], dim=-1) return embedding def forward(self, t): t_freq = self.timestep_embedding(t, self.frequency_embedding_size) t_emb = self.mlp(t_freq) return t_emb # class LabelEmbedder(nn.Module): # """ # Embeds class labels into vector representations. Also handles label dropout for cfg. # """ # def __init__(self, num_classes, hidden_size, use_cfg_embedding): # super().__init__() # self.embedding_table = nn.Embedding(num_classes + use_cfg_embedding, hidden_size) # self.num_classes = num_classes # def token_drop(self, labels, dropout_prob, force_drop_ids=None): # """ # Drops labels to enable classifier-free guidance. # """ # if force_drop_ids is None: # drop_ids = torch.rand(labels.shape[0], device=labels.device) < dropout_prob # else: # drop_ids = force_drop_ids == 1 # labels = torch.where(drop_ids, self.num_classes, labels) # return labels # def forward(self, labels, dropout_prob=0.1, force_drop_ids=None): # if dropout_prob > 0: # labels = self.token_drop(labels, dropout_prob, force_drop_ids) # embeddings = self.embedding_table(labels) # return embeddings ################################################################################# # Core DiT Model # ################################################################################# class DiTBlock(nn.Module): """ A DiT block with adaptive layer norm zero (adaLN-Zero) conditioning. """ def __init__(self, hidden_size, num_heads, mlp_ratio=4.0, **block_kwargs): super().__init__() self.norm1 = nn.LayerNorm(hidden_size, elementwise_affine=False, eps=1e-6) self.attn = Attention(hidden_size, num_heads=num_heads, qkv_bias=True, qk_norm=True, **block_kwargs) self.norm2 = nn.LayerNorm(hidden_size, elementwise_affine=False, eps=1e-6) mlp_hidden_dim = int(hidden_size * mlp_ratio) approx_gelu = nn.GELU(approximate="tanh") self.mlp = Mlp( in_features=hidden_size, hidden_features=mlp_hidden_dim, act_layer=approx_gelu, drop=0 ) self.adaLN_modulation = nn.Sequential( nn.SiLU(), nn.Linear(hidden_size, 6 * hidden_size, bias=True) ) def forward(self, x, c): shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = self.adaLN_modulation( c ).chunk(6, dim=1) x = x + gate_msa.unsqueeze(1) * self.attn(modulate(self.norm1(x), shift_msa, scale_msa)) x = x + gate_mlp.unsqueeze(1) * self.mlp(modulate(self.norm2(x), shift_mlp, scale_mlp)) return x class FinalLayer(nn.Module): """ The final layer of DiT. """ def __init__(self, hidden_size, patch_size, out_channels): super().__init__() self.norm_final = nn.LayerNorm(hidden_size, elementwise_affine=False, eps=1e-6) self.linear = nn.Linear(hidden_size, patch_size * patch_size * out_channels, bias=True) self.adaLN_modulation = nn.Sequential( nn.SiLU(), nn.Linear(hidden_size, 2 * hidden_size, bias=True) ) def forward(self, x, c): shift, scale = self.adaLN_modulation(c).chunk(2, dim=1) x = modulate(self.norm_final(x), shift, scale) x = self.linear(x) return x class DiT(nn.Module): """ Diffusion model with a Transformer backbone. """ def __init__( self, input_size=32, patch_size=2, in_channels=4, out_channels=4, hidden_size=1152, depth=28, num_heads=16, mlp_ratio=4.0, use_cfg_embedding=True, num_classes=1000, learn_sigma=True, ): super().__init__() self.learn_sigma = learn_sigma self.in_channels = in_channels self.out_channels = out_channels * 2 if learn_sigma else out_channels self.patch_size = patch_size self.num_heads = num_heads self.input_size = input_size self.x_embedder = PatchEmbed(input_size, patch_size*2, in_channels, hidden_size, bias=True) self.t_embedder = TimestepEmbedder(hidden_size) # self.y_embedder = LabelEmbedder(num_classes, hidden_size, use_cfg_embedding) num_patches = self.x_embedder.num_patches # Will use fixed sin-cos embedding: num_patches = (512//16) ** 2 self.pos_embed = nn.Parameter( torch.zeros(1, num_patches, hidden_size), requires_grad=False ) self.blocks = nn.ModuleList( [DiTBlock(hidden_size, num_heads, mlp_ratio=mlp_ratio) for _ in range(depth)] ) # self.projector = build_mlp(hidden_size, projector_dim=2048, z_dim=1024) # self.mlp_fusion = nn.Sequential( # nn.Linear(hidden_size*2, hidden_size), # nn.SiLU(), # nn.Linear(hidden_size, hidden_size), # ) self.proj_fusion = nn.Sequential( nn.Linear(hidden_size*2, hidden_size*4), nn.SiLU(), nn.Linear(hidden_size*4, hidden_size*4), nn.SiLU(), nn.Linear(hidden_size*4, hidden_size*4), ) # self.proj_fusion_ = nn.Sequential( # nn.Linear(hidden_size*2, hidden_size*4), # nn.SiLU(), # ) self.final_layer = FinalLayer(hidden_size, patch_size, self.out_channels) self.initialize_weights() def initialize_weights(self): # Initialize transformer layers: def _basic_init(module): if isinstance(module, nn.Linear): torch.nn.init.xavier_uniform_(module.weight) if module.bias is not None: nn.init.constant_(module.bias, 0) self.apply(_basic_init) # Initialize (and freeze) pos_embed by sin-cos embedding: pos_embed = get_2d_sincos_pos_embed( self.pos_embed.shape[-1], (512//16, 512//16) ) self.pos_embed.data.copy_(torch.from_numpy(pos_embed).float().unsqueeze(0)) # Initialize patch_embed like nn.Linear (instead of nn.Conv2d): w = self.x_embedder.proj.weight.data nn.init.xavier_uniform_(w.view([w.shape[0], -1])) nn.init.constant_(self.x_embedder.proj.bias, 0) # Initialize label embedding table: # nn.init.normal_(self.y_embedder.embedding_table.weight, std=0.02) # Initialize timestep embedding MLP: nn.init.normal_(self.t_embedder.mlp[0].weight, std=0.02) nn.init.normal_(self.t_embedder.mlp[2].weight, std=0.02) # Zero-out adaLN modulation layers in DiT blocks: for block in self.blocks: nn.init.constant_(block.adaLN_modulation[-1].weight, 0) nn.init.constant_(block.adaLN_modulation[-1].bias, 0) # Zero-out output layers: nn.init.constant_(self.final_layer.adaLN_modulation[-1].weight, 0) nn.init.constant_(self.final_layer.adaLN_modulation[-1].bias, 0) nn.init.constant_(self.final_layer.linear.weight, 0) nn.init.constant_(self.final_layer.linear.bias, 0) def unpatchify(self, x, height, width): """ x: (N, T, patch_size**2 * C) imgs: (N, H, W, C) """ c = self.out_channels p = self.x_embedder.patch_size[0] // 2 h = height // p w = width // p assert h * w == x.shape[1] x = x.reshape(shape=(x.shape[0], h, w, p, p, c)) x = torch.einsum("nhwpqc->nchpwq", x) imgs = x.reshape(shape=(x.shape[0], c, h * p, w * p)) return imgs def forward(self, x=None, z_latent=None, timestep=None, label=None, dropout=0.1): """ Forward pass of DiT. x: (N, C, H, W) tensor of spatial inputs (images or latent representations of images) t: (N,) tensor of diffusion timesteps y: (N,) tensor of class labels """ # if cfg_scale > 1.0: # half = sample[: len(x) // 2] # sample = torch.cat([half, half], dim=0) N, C, H, W = x.shape if len(timestep.shape) == 0: timestep = timestep[None] x = self.x_embedder(x) + self.pos_embed # (N, T, D), where T=H*W/patch_size ** 2 N, T, D = x.shape timestep = self.t_embedder(timestep) # (N, D) c = timestep # + label # (N, D) # for block in self.blocks: for i, block in enumerate(self.blocks): x = block(x, c) # (N, T, D) if (i+1) == 12: z_latent = F.normalize(z_latent, dim=-1) x = self.proj_fusion(torch.cat([x, z_latent], dim=-1)) p = self.x_embedder.patch_size[0] x = x.reshape(shape=(N, H//p, W//p, 2, 2, D)) x = torch.einsum("nhwpqc->nchpwq", x) x = x.reshape(shape=(N, D, (H//p)*2, (W//p)*2)) x = x.flatten(2).transpose(1, 2) x = self.final_layer(x, c) # (N, T, patch_size ** 2 * out_channels) x = self.unpatchify(x, height=H, width=W) # (N, out_channels, H, W) return x def get_pos_embed(pos_embed, H, W): # 检查当前 pos_embed 的 shape if pos_embed.shape[1] != (H // 16) * (W // 16): return resample_abs_pos_embed(pos_embed, new_size=[H // 16, W // 16], num_prefix_tokens=0) return pos_embed ################################################################################# # Sine/Cosine Positional Embedding Functions # ################################################################################# # https://github.com/facebookresearch/mae/blob/main/util/pos_embed.py def get_2d_sincos_pos_embed(embed_dim, grid_size, cls_token=False, extra_tokens=0): """ grid_size: int of the grid height and width return: pos_embed: [grid_size*grid_size, embed_dim] or [1+grid_size*grid_size, embed_dim] """ if isinstance(grid_size, int): h, w = grid_size, grid_size else: h, w = grid_size grid_h = np.arange(h, dtype=np.float32) grid_w = np.arange(w, dtype=np.float32) grid = np.meshgrid(grid_w, grid_h) # here w goes first grid = np.stack(grid, axis=0) grid = grid.reshape([2, 1, h, w]) pos_embed = get_2d_sincos_pos_embed_from_grid(embed_dim, grid) if cls_token and extra_tokens > 0: pos_embed = np.concatenate([np.zeros([extra_tokens, embed_dim]), pos_embed], axis=0) return pos_embed def get_2d_sincos_pos_embed_from_grid(embed_dim, grid): assert embed_dim % 2 == 0 # use half of dimensions to encode grid_h emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[0]) # (H*W, D/2) emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[1]) # (H*W, D/2) emb = np.concatenate([emb_h, emb_w], axis=1) # (H*W, D) return emb def get_1d_sincos_pos_embed_from_grid(embed_dim, pos): """ embed_dim: output dimension for each position pos: a list of positions to be encoded: size (M,) out: (M, D) """ assert embed_dim % 2 == 0 omega = np.arange(embed_dim // 2, dtype=np.float64) omega /= embed_dim / 2.0 omega = 1.0 / 10000**omega # (D/2,) pos = pos.reshape(-1) # (M,) out = np.einsum("m,d->md", pos, omega) # (M, D/2), outer product emb_sin = np.sin(out) # (M, D/2) emb_cos = np.cos(out) # (M, D/2) emb = np.concatenate([emb_sin, emb_cos], axis=1) # (M, D) return emb