# -------------------------------------------------------- # References: # SiT: https://github.com/willisma/SiT # Lightning-DiT: https://github.com/hustvl/LightningDiT # -------------------------------------------------------- import torch import math import torch.nn.functional as F from math import pi import torch from torch import nn import numpy as np from einops import rearrange, repeat def broadcat(tensors, dim = -1): num_tensors = len(tensors) shape_lens = set(list(map(lambda t: len(t.shape), tensors))) assert len(shape_lens) == 1, 'tensors must all have the same number of dimensions' shape_len = list(shape_lens)[0] dim = (dim + shape_len) if dim < 0 else dim dims = list(zip(*map(lambda t: list(t.shape), tensors))) expandable_dims = [(i, val) for i, val in enumerate(dims) if i != dim] assert all([*map(lambda t: len(set(t[1])) <= 2, expandable_dims)]), 'invalid dimensions for broadcastable concatentation' max_dims = list(map(lambda t: (t[0], max(t[1])), expandable_dims)) expanded_dims = list(map(lambda t: (t[0], (t[1],) * num_tensors), max_dims)) expanded_dims.insert(dim, (dim, dims[dim])) expandable_shapes = list(zip(*map(lambda t: t[1], expanded_dims))) tensors = list(map(lambda t: t[0].expand(*t[1]), zip(tensors, expandable_shapes))) return torch.cat(tensors, dim = dim) def rotate_half(x): x = rearrange(x, '... (d r) -> ... d r', r = 2) x1, x2 = x.unbind(dim = -1) x = torch.stack((-x2, x1), dim = -1) return rearrange(x, '... d r -> ... (d r)') class VisionRotaryEmbedding(nn.Module): def __init__( self, dim, pt_seq_len, ft_seq_len=None, custom_freqs = None, freqs_for = 'lang', theta = 10000, max_freq = 10, num_freqs = 1, ): super().__init__() if custom_freqs: freqs = custom_freqs elif freqs_for == 'lang': freqs = 1. / (theta ** (torch.arange(0, dim, 2)[:(dim // 2)].float() / dim)) elif freqs_for == 'pixel': freqs = torch.linspace(1., max_freq / 2, dim // 2) * pi elif freqs_for == 'constant': freqs = torch.ones(num_freqs).float() else: raise ValueError(f'unknown modality {freqs_for}') if ft_seq_len is None: ft_seq_len = pt_seq_len t = torch.arange(ft_seq_len) / ft_seq_len * pt_seq_len freqs_h = torch.einsum('..., f -> ... f', t, freqs) freqs_h = repeat(freqs_h, '... n -> ... (n r)', r = 2) freqs_w = torch.einsum('..., f -> ... f', t, freqs) freqs_w = repeat(freqs_w, '... n -> ... (n r)', r = 2) freqs = broadcat((freqs_h[:, None, :], freqs_w[None, :, :]), dim = -1) self.register_buffer("freqs_cos", freqs.cos()) self.register_buffer("freqs_sin", freqs.sin()) def forward(self, t, start_index = 0): rot_dim = self.freqs_cos.shape[-1] end_index = start_index + rot_dim assert rot_dim <= t.shape[-1], f'feature dimension {t.shape[-1]} is not of sufficient size to rotate in all the positions {rot_dim}' t_left, t, t_right = t[..., :start_index], t[..., start_index:end_index], t[..., end_index:] t = (t * self.freqs_cos) + (rotate_half(t) * self.freqs_sin) return torch.cat((t_left, t, t_right), dim = -1) class VisionRotaryEmbeddingFast(nn.Module): def __init__( self, dim, pt_seq_len=16, ft_seq_len=None, custom_freqs = None, freqs_for = 'lang', theta = 10000, max_freq = 10, num_freqs = 1, num_cls_token = 0 ): super().__init__() if custom_freqs: freqs = custom_freqs elif freqs_for == 'lang': freqs = 1. / (theta ** (torch.arange(0, dim, 2)[:(dim // 2)].float() / dim)) elif freqs_for == 'pixel': freqs = torch.linspace(1., max_freq / 2, dim // 2) * pi elif freqs_for == 'constant': freqs = torch.ones(num_freqs).float() else: raise ValueError(f'unknown modality {freqs_for}') if ft_seq_len is None: ft_seq_len = pt_seq_len t = torch.arange(ft_seq_len) / ft_seq_len * pt_seq_len freqs = torch.einsum('..., f -> ... f', t, freqs) freqs = repeat(freqs, '... n -> ... (n r)', r = 2) freqs = broadcat((freqs[:, None, :], freqs[None, :, :]), dim = -1) if num_cls_token > 0: freqs_flat = freqs.view(-1, freqs.shape[-1]) # [N_img, D] cos_img = freqs_flat.cos() sin_img = freqs_flat.sin() # prepend in-context cls token N_img, D = cos_img.shape cos_pad = torch.ones(num_cls_token, D, dtype=cos_img.dtype, device=cos_img.device) sin_pad = torch.zeros(num_cls_token, D, dtype=sin_img.dtype, device=sin_img.device) self.freqs_cos = torch.cat([cos_pad, cos_img], dim=0).cuda() # [N_cls+N_img, D] self.freqs_sin = torch.cat([sin_pad, sin_img], dim=0).cuda() else: self.freqs_cos = freqs.cos().view(-1, freqs.shape[-1]).cuda() self.freqs_sin = freqs.sin().view(-1, freqs.shape[-1]).cuda() def forward(self, t): if self.freqs_cos.device != t.device: self.freqs_cos = self.freqs_cos.to(t.device) self.freqs_sin = self.freqs_sin.to(t.device) return t * self.freqs_cos + rotate_half(t) * self.freqs_sin class RMSNorm(nn.Module): def __init__(self, hidden_size, eps=1e-6): """ LlamaRMSNorm is equivalent to T5LayerNorm """ super().__init__() self.weight = nn.Parameter(torch.ones(hidden_size)) self.variance_epsilon = eps def forward(self, hidden_states): input_dtype = hidden_states.dtype hidden_states = hidden_states.to(torch.float32) variance = hidden_states.pow(2).mean(-1, keepdim=True) hidden_states = hidden_states * torch.rsqrt(variance + self.variance_epsilon) return (self.weight * hidden_states).to(input_dtype) 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] (w/ or w/o cls_token) """ grid_h = np.arange(grid_size, dtype=np.float32) grid_w = np.arange(grid_size, 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, grid_size, grid_size]) 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. omega = 1. / 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 def modulate(x, shift, scale): return x * (1 + scale.unsqueeze(1)) + shift.unsqueeze(1) class BottleneckPatchEmbed(nn.Module): """ Image to Patch Embedding """ def __init__(self, img_size=224, patch_size=16, in_chans=3, pca_dim=768, embed_dim=768, bias=True): super().__init__() img_size = (img_size, img_size) patch_size = (patch_size, patch_size) num_patches = (img_size[1] // patch_size[1]) * (img_size[0] // patch_size[0]) self.img_size = img_size self.patch_size = patch_size self.num_patches = num_patches self.proj1 = nn.Conv2d(in_chans, pca_dim, kernel_size=patch_size, stride=patch_size, bias=False) self.proj2 = nn.Conv2d(pca_dim, embed_dim, kernel_size=1, stride=1, bias=bias) def forward(self, x): B, C, H, W = x.shape assert H == self.img_size[0] and W == self.img_size[1], \ f"Input image size ({H}*{W}) doesn't match model ({self.img_size[0]}*{self.img_size[1]})." x = self.proj2(self.proj1(x)).flatten(2).transpose(1, 2) return x class PatchEmbed(nn.Module): """ Image to Patch Embedding """ def __init__(self, img_size=224, patch_size=16, in_chans=3, pca_dim=768, embed_dim=768, bias=True): super().__init__() img_size = (img_size, img_size) patch_size = (patch_size, patch_size) num_patches = (img_size[1] // patch_size[1]) * (img_size[0] // patch_size[0]) self.img_size = img_size self.patch_size = patch_size self.num_patches = num_patches self.proj1 = nn.Conv2d(in_chans, embed_dim, kernel_size=patch_size, stride=patch_size, bias=bias) def forward(self, x): B, C, H, W = x.shape assert H == self.img_size[0] and W == self.img_size[1], \ f"Input image size ({H}*{W}) doesn't match model ({self.img_size[0]}*{self.img_size[1]})." x = self.proj1(x).flatten(2).transpose(1, 2) return x 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 classifier-free guidance. """ def __init__(self, num_classes, hidden_size): super().__init__() self.embedding_table = nn.Embedding(num_classes + 1, hidden_size) self.num_classes = num_classes def forward(self, labels): embeddings = self.embedding_table(labels) return embeddings from torch.nn.functional import scaled_dot_product_attention class Attention(nn.Module): def __init__(self, dim, num_heads=8, qkv_bias=True, qk_norm=True, attn_drop=0., proj_drop=0.): super().__init__() self.num_heads = num_heads head_dim = dim // num_heads self.q_norm = RMSNorm(head_dim) if qk_norm else nn.Identity() self.k_norm = RMSNorm(head_dim) if qk_norm else nn.Identity() self.qkv = nn.Linear(dim, dim * 3, bias=qkv_bias) self.attn_drop = nn.Dropout(attn_drop) self.proj = nn.Linear(dim, dim) self.proj_drop = nn.Dropout(proj_drop) def forward(self, x, rope): B, N, C = x.shape qkv = self.qkv(x).reshape(B, N, 3, self.num_heads, C // self.num_heads).permute(2, 0, 3, 1, 4) q, k, v = qkv[0], qkv[1], qkv[2] # make torchscript happy (cannot use tensor as tuple) q = self.q_norm(q) k = self.k_norm(k) q = rope(q) k = rope(k) x = scaled_dot_product_attention(q, k, v, dropout_p=self.attn_drop.p if self.training else 0.) x = x.transpose(1, 2).reshape(B, N, C) x = self.proj(x) x = self.proj_drop(x) return x class SwiGLUFFN(nn.Module): def __init__( self, dim: int, hidden_dim: int, drop=0.0, bias=True ) -> None: super().__init__() hidden_dim = int(hidden_dim * 2 / 3) self.w12 = nn.Linear(dim, 2 * hidden_dim, bias=bias) self.w3 = nn.Linear(hidden_dim, dim, bias=bias) self.ffn_dropout = nn.Dropout(drop) def forward(self, x): x12 = self.w12(x) x1, x2 = x12.chunk(2, dim=-1) hidden = F.silu(x1) * x2 return self.w3(self.ffn_dropout(hidden)) class FinalLayer(nn.Module): """ The final layer of JiT. """ def __init__(self, hidden_size, patch_size, out_channels): super().__init__() self.norm_final = RMSNorm(hidden_size) 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 JiTBlock(nn.Module): def __init__(self, hidden_size, num_heads, mlp_ratio=4.0, attn_drop=0.0, proj_drop=0.0): super().__init__() self.norm1 = RMSNorm(hidden_size, eps=1e-6) self.attn = Attention(hidden_size, num_heads=num_heads, qkv_bias=True, qk_norm=True, attn_drop=attn_drop, proj_drop=proj_drop) self.norm2 = RMSNorm(hidden_size, eps=1e-6) mlp_hidden_dim = int(hidden_size * mlp_ratio) self.mlp = SwiGLUFFN(hidden_size, mlp_hidden_dim, drop=proj_drop) self.adaLN_modulation = nn.Sequential( nn.SiLU(), nn.Linear(hidden_size, 6 * hidden_size, bias=True) ) @torch.compile def forward(self, x, c, feat_rope=None): 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), rope=feat_rope) x = x + gate_mlp.unsqueeze(1) * self.mlp(modulate(self.norm2(x), shift_mlp, scale_mlp)) return x class JiT(nn.Module): """ Just image Transformer. """ def __init__( self, input_size=256, patch_size=16, in_channels=3, hidden_size=1024, depth=24, num_heads=16, mlp_ratio=4.0, attn_drop=0.0, proj_drop=0.0, num_classes=1000, bottleneck_dim=128, use_bottleneck=True, in_context_len=32, in_context_start=8 ): super().__init__() self.in_channels = in_channels self.out_channels = in_channels self.patch_size = patch_size self.num_heads = num_heads self.hidden_size = hidden_size self.input_size = input_size self.in_context_len = in_context_len self.in_context_start = in_context_start self.num_classes = num_classes self.bottleneck_dim = bottleneck_dim self.use_bottleneck = use_bottleneck # time and class embed self.t_embedder = TimestepEmbedder(hidden_size) self.y_embedder = LabelEmbedder(num_classes, hidden_size) # linear embed if self.use_bottleneck: self.x_embedder = BottleneckPatchEmbed(input_size, patch_size, in_channels, bottleneck_dim, hidden_size, bias=True) else: self.x_embedder = PatchEmbed(input_size, patch_size, in_channels, bottleneck_dim, hidden_size, bias=True) # use fixed sin-cos embedding num_patches = self.x_embedder.num_patches self.pos_embed = nn.Parameter(torch.zeros(1, num_patches, hidden_size), requires_grad=False) # in-context cls token if self.in_context_len > 0: self.in_context_posemb = nn.Parameter(torch.zeros(1, self.in_context_len, hidden_size), requires_grad=True) torch.nn.init.normal_(self.in_context_posemb, std=.02) # rope half_head_dim = hidden_size // num_heads // 2 hw_seq_len = input_size // patch_size self.feat_rope = VisionRotaryEmbeddingFast( dim=half_head_dim, pt_seq_len=hw_seq_len, num_cls_token=0 ) self.feat_rope_incontext = VisionRotaryEmbeddingFast( dim=half_head_dim, pt_seq_len=hw_seq_len, num_cls_token=self.in_context_len ) # transformer self.blocks = nn.ModuleList([ JiTBlock(hidden_size, num_heads, mlp_ratio=mlp_ratio, attn_drop=attn_drop if (depth // 4 * 3 > i >= depth // 4) else 0.0, proj_drop=proj_drop if (depth // 4 * 3 > i >= depth // 4) else 0.0) for i in range(depth) ]) # linear predict 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], int(self.x_embedder.num_patches ** 0.5)) self.pos_embed.data.copy_(torch.from_numpy(pos_embed).float().unsqueeze(0)) # Initialize patch_embed like nn.Linear (instead of nn.Conv2d): if self.use_bottleneck: w1 = self.x_embedder.proj1.weight.data nn.init.xavier_uniform_(w1.view([w1.shape[0], -1])) w2 = self.x_embedder.proj2.weight.data nn.init.xavier_uniform_(w2.view([w2.shape[0], -1])) nn.init.constant_(self.x_embedder.proj2.bias, 0) else: w1 = self.x_embedder.proj1.weight.data nn.init.xavier_uniform_(w1.view([w1.shape[0], -1])) nn.init.constant_(self.x_embedder.proj1.bias, 0) # Initialize label embedding table: nn.init.normal_(self.y_embedder.embedding_table.weight, std=0.02) 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: 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, p): """ x: (N, T, patch_size**2 * C) imgs: (N, H, W, C) """ c = self.out_channels h = w = int(x.shape[1] ** 0.5) 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, h * p)) return imgs def forward(self, x, t, y, return_layer=None, return_last=False): """ x: (N, C, H, W) t: (N,) y: (N,) """ # class and time embeddings t_emb = self.t_embedder(t) y_emb = self.y_embedder(y) c = t_emb + y_emb # forward JiT x = self.x_embedder(x) x += self.pos_embed for i, block in enumerate(self.blocks): if return_layer is not None and i==return_layer: if return_layer>self.in_context_start: feat = x[:, self.in_context_len:] else: feat = x # in-context if self.in_context_len > 0 and i == self.in_context_start: in_context_tokens = y_emb.unsqueeze(1).repeat(1, self.in_context_len, 1) in_context_tokens += self.in_context_posemb x = torch.cat([in_context_tokens, x], dim=1) x = block(x, c, self.feat_rope if i < self.in_context_start else self.feat_rope_incontext) x = x[:, self.in_context_len:] if return_last: last_out = x x = self.final_layer(x, c) output = self.unpatchify(x, self.patch_size) if return_layer is not None: if return_last: return output, feat, last_out else: return output, feat else: return output def JiT_B_16(**kwargs): return JiT(depth=12, hidden_size=768, num_heads=12, bottleneck_dim=128, in_context_len=32, in_context_start=4, patch_size=16, **kwargs) def JiT_B_32(**kwargs): return JiT(depth=12, hidden_size=768, num_heads=12, bottleneck_dim=128, in_context_len=32, in_context_start=4, patch_size=32, **kwargs) def JiT_L_16(**kwargs): return JiT(depth=24, hidden_size=1024, num_heads=16, bottleneck_dim=128, in_context_len=32, in_context_start=8, patch_size=16, **kwargs) def JiT_L_32(**kwargs): return JiT(depth=24, hidden_size=1024, num_heads=16, bottleneck_dim=128, in_context_len=32, in_context_start=8, patch_size=32, **kwargs) def JiT_H_16(**kwargs): return JiT(depth=32, hidden_size=1280, num_heads=16, bottleneck_dim=256, in_context_len=32, in_context_start=10, patch_size=16, **kwargs) def JiT_H_32(**kwargs): return JiT(depth=32, hidden_size=1280, num_heads=16, bottleneck_dim=256, in_context_len=32, in_context_start=10, patch_size=32, **kwargs) JiT_models = { 'JiT-B/16': JiT_B_16, 'JiT-B/32': JiT_B_32, 'JiT-L/16': JiT_L_16, 'JiT-L/32': JiT_L_32, 'JiT-H/16': JiT_H_16, 'JiT-H/32': JiT_H_32, }