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import torch |
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import torch.nn as nn |
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import numpy as np |
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import math |
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from timm.models.vision_transformer import PatchEmbed, Attention, Mlp |
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from pdb import set_trace as st |
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def modulate(x, shift, scale): |
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return x * (1 + scale.unsqueeze(1)) + shift.unsqueeze(1) |
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class TimestepEmbedder(nn.Module): |
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""" |
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Embeds scalar timesteps into vector representations. |
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""" |
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def __init__(self, hidden_size, frequency_embedding_size=256): |
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super().__init__() |
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self.mlp = nn.Sequential( |
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nn.Linear(frequency_embedding_size, hidden_size, bias=True), |
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nn.SiLU(), |
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nn.Linear(hidden_size, hidden_size, bias=True), |
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) |
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self.frequency_embedding_size = frequency_embedding_size |
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@staticmethod |
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def timestep_embedding(t, dim, max_period=10000): |
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""" |
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Create sinusoidal timestep embeddings. |
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:param t: a 1-D Tensor of N indices, one per batch element. |
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These may be fractional. |
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:param dim: the dimension of the output. |
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:param max_period: controls the minimum frequency of the embeddings. |
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:return: an (N, D) Tensor of positional embeddings. |
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""" |
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half = dim // 2 |
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freqs = torch.exp( |
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-math.log(max_period) * |
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torch.arange(start=0, end=half, dtype=torch.float32) / |
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half).to(device=t.device) |
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args = t[:, None].float() * freqs[None] |
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embedding = torch.cat([torch.cos(args), torch.sin(args)], dim=-1) |
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if dim % 2: |
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embedding = torch.cat( |
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[embedding, torch.zeros_like(embedding[:, :1])], dim=-1) |
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return embedding |
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def forward(self, t): |
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t_freq = self.timestep_embedding(t, self.frequency_embedding_size) |
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t_emb = self.mlp(t_freq) |
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return t_emb |
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class LabelEmbedder(nn.Module): |
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""" |
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Embeds class labels into vector representations. Also handles label dropout for classifier-free guidance. |
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""" |
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def __init__(self, num_classes, hidden_size, dropout_prob): |
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super().__init__() |
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use_cfg_embedding = dropout_prob > 0 |
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self.embedding_table = nn.Embedding(num_classes + use_cfg_embedding, |
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hidden_size) |
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self.num_classes = num_classes |
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self.dropout_prob = dropout_prob |
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def token_drop(self, labels, force_drop_ids=None): |
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""" |
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Drops labels to enable classifier-free guidance. |
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""" |
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if force_drop_ids is None: |
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drop_ids = torch.rand(labels.shape[0], |
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device=labels.device) < self.dropout_prob |
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else: |
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drop_ids = force_drop_ids == 1 |
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labels = torch.where(drop_ids, self.num_classes, labels) |
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return labels |
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def forward(self, labels, train, force_drop_ids=None): |
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use_dropout = self.dropout_prob > 0 |
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if (train and use_dropout) or (force_drop_ids is not None): |
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labels = self.token_drop(labels, force_drop_ids) |
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embeddings = self.embedding_table(labels) |
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return embeddings |
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class DiTBlock(nn.Module): |
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""" |
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A DiT block with adaptive layer norm zero (adaLN-Zero) conditioning. |
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""" |
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def __init__(self, hidden_size, num_heads, mlp_ratio=4.0, **block_kwargs): |
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super().__init__() |
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self.norm1 = nn.LayerNorm(hidden_size, |
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elementwise_affine=False, |
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eps=1e-6) |
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self.attn = Attention(hidden_size, |
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num_heads=num_heads, |
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qkv_bias=True, |
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**block_kwargs) |
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self.norm2 = nn.LayerNorm(hidden_size, |
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elementwise_affine=False, |
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eps=1e-6) |
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mlp_hidden_dim = int(hidden_size * mlp_ratio) |
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approx_gelu = lambda: nn.GELU(approximate="tanh") |
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self.mlp = Mlp(in_features=hidden_size, |
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hidden_features=mlp_hidden_dim, |
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act_layer=approx_gelu, |
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drop=0) |
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self.adaLN_modulation = nn.Sequential( |
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nn.SiLU(), nn.Linear(hidden_size, 6 * hidden_size, bias=True)) |
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def forward(self, x, c): |
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shift_msa, scale_msa, gate_msa, shift_mlp, scale_mlp, gate_mlp = self.adaLN_modulation( |
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c).chunk(6, dim=1) |
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x = x + gate_msa.unsqueeze(1) * self.attn( |
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modulate(self.norm1(x), shift_msa, scale_msa)) |
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x = x + gate_mlp.unsqueeze(1) * self.mlp( |
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modulate(self.norm2(x), shift_mlp, scale_mlp)) |
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return x |
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class FinalLayer(nn.Module): |
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""" |
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The final layer of DiT, basically the decoder_pred in MAE with adaLN. |
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""" |
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def __init__(self, hidden_size, patch_size, out_channels): |
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super().__init__() |
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self.norm_final = nn.LayerNorm(hidden_size, |
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elementwise_affine=False, |
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eps=1e-6) |
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self.linear = nn.Linear(hidden_size, |
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patch_size * patch_size * out_channels, |
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bias=True) |
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self.adaLN_modulation = nn.Sequential( |
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nn.SiLU(), nn.Linear(hidden_size, 2 * hidden_size, bias=True)) |
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def forward(self, x, c): |
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shift, scale = self.adaLN_modulation(c).chunk(2, dim=1) |
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x = modulate(self.norm_final(x), shift, scale) |
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x = self.linear(x) |
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return x |
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class DiT(nn.Module): |
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""" |
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Diffusion model with a Transformer backbone. |
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""" |
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def __init__( |
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self, |
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input_size=32, |
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patch_size=2, |
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in_channels=4, |
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hidden_size=1152, |
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depth=28, |
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num_heads=16, |
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mlp_ratio=4.0, |
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class_dropout_prob=0.1, |
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num_classes=1000, |
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learn_sigma=True, |
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): |
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super().__init__() |
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self.learn_sigma = learn_sigma |
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self.in_channels = in_channels |
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self.out_channels = in_channels * 2 if learn_sigma else in_channels |
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self.patch_size = patch_size |
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self.num_heads = num_heads |
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self.x_embedder = PatchEmbed(input_size, |
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patch_size, |
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in_channels, |
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hidden_size, |
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bias=True) |
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self.t_embedder = TimestepEmbedder(hidden_size) |
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if num_classes > 0: |
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self.y_embedder = LabelEmbedder(num_classes, hidden_size, |
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class_dropout_prob) |
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else: |
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self.y_embedder = None |
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num_patches = self.x_embedder.num_patches |
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self.pos_embed = nn.Parameter(torch.zeros(1, num_patches, hidden_size), |
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requires_grad=False) |
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self.blocks = nn.ModuleList([ |
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DiTBlock(hidden_size, num_heads, mlp_ratio=mlp_ratio) |
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for _ in range(depth) |
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]) |
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self.final_layer = FinalLayer(hidden_size, patch_size, |
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self.out_channels) |
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self.initialize_weights() |
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def initialize_weights(self): |
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def _basic_init(module): |
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if isinstance(module, nn.Linear): |
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torch.nn.init.xavier_uniform_(module.weight) |
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if module.bias is not None: |
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nn.init.constant_(module.bias, 0) |
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self.apply(_basic_init) |
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pos_embed = get_2d_sincos_pos_embed( |
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self.pos_embed.shape[-1], int(self.x_embedder.num_patches**0.5)) |
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self.pos_embed.data.copy_( |
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torch.from_numpy(pos_embed).float().unsqueeze(0)) |
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w = self.x_embedder.proj.weight.data |
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nn.init.xavier_uniform_(w.view([w.shape[0], -1])) |
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nn.init.constant_(self.x_embedder.proj.bias, 0) |
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if self.y_embedder is not None: |
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nn.init.normal_(self.y_embedder.embedding_table.weight, std=0.02) |
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nn.init.normal_(self.t_embedder.mlp[0].weight, std=0.02) |
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nn.init.normal_(self.t_embedder.mlp[2].weight, std=0.02) |
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for block in self.blocks: |
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nn.init.constant_(block.adaLN_modulation[-1].weight, 0) |
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nn.init.constant_(block.adaLN_modulation[-1].bias, 0) |
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nn.init.constant_(self.final_layer.adaLN_modulation[-1].weight, 0) |
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nn.init.constant_(self.final_layer.adaLN_modulation[-1].bias, 0) |
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nn.init.constant_(self.final_layer.linear.weight, 0) |
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nn.init.constant_(self.final_layer.linear.bias, 0) |
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def unpatchify(self, x): |
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""" |
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x: (N, T, patch_size**2 * C) |
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imgs: (N, H, W, C) |
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""" |
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c = self.out_channels |
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p = self.x_embedder.patch_size[0] |
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h = w = int(x.shape[1]**0.5) |
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assert h * w == x.shape[1] |
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x = x.reshape(shape=(x.shape[0], h, w, p, p, c)) |
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x = torch.einsum('nhwpqc->nchpwq', x) |
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imgs = x.reshape(shape=(x.shape[0], c, h * p, h * p)) |
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return imgs |
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def forward(self, x, t, y=None): |
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""" |
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Forward pass of DiT. |
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x: (N, C, H, W) tensor of spatial inputs (images or latent representations of images) |
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t: (N,) tensor of diffusion timesteps |
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y: (N,) tensor of class labels |
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""" |
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x = self.x_embedder( |
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x) + self.pos_embed |
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t = self.t_embedder(t) |
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if self.y_embedder is not None: |
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assert y is not None |
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y = self.y_embedder(y, self.training) |
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c = t + y |
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else: |
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c = t |
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for block in self.blocks: |
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x = block(x, c) |
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x = self.final_layer(x, c) |
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x = self.unpatchify(x) |
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return x |
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def forward_with_cfg(self, x, t, y, cfg_scale): |
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""" |
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Forward pass of DiT, but also batches the unconditional forward pass for classifier-free guidance. |
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""" |
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half = x[:len(x) // 2] |
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combined = torch.cat([half, half], dim=0) |
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model_out = self.forward(combined, t, y) |
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eps, rest = model_out[:, :3], model_out[:, 3:] |
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cond_eps, uncond_eps = torch.split(eps, len(eps) // 2, dim=0) |
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half_eps = uncond_eps + cfg_scale * (cond_eps - uncond_eps) |
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eps = torch.cat([half_eps, half_eps], dim=0) |
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return torch.cat([eps, rest], dim=1) |
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def forward_with_cfg_unconditional(self, x, t, y=None, cfg_scale=None): |
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""" |
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Forward pass of DiT, but also batches the unconditional forward pass for classifier-free guidance. |
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""" |
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combined = x |
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model_out = self.forward(combined, t, y) |
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return model_out |
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def get_2d_sincos_pos_embed(embed_dim, |
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grid_size, |
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cls_token=False, |
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extra_tokens=0): |
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""" |
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grid_size: int of the grid height and width |
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return: |
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pos_embed: [grid_size*grid_size, embed_dim] or [1+grid_size*grid_size, embed_dim] (w/ or w/o cls_token) |
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""" |
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if isinstance(grid_size, tuple): |
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grid_size_h, grid_size_w = grid_size |
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grid_h = np.arange(grid_size_h, dtype=np.float32) |
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grid_w = np.arange(grid_size_w, dtype=np.float32) |
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else: |
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grid_size_h = grid_size_w = grid_size |
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grid_h = np.arange(grid_size, dtype=np.float32) |
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grid_w = np.arange(grid_size, dtype=np.float32) |
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grid = np.meshgrid(grid_w, grid_h) |
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grid = np.stack(grid, axis=0) |
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grid = grid.reshape([2, 1, grid_size_h, grid_size_w]) |
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pos_embed = get_2d_sincos_pos_embed_from_grid(embed_dim, grid) |
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if cls_token and extra_tokens > 0: |
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pos_embed = np.concatenate( |
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[np.zeros([extra_tokens, embed_dim]), pos_embed], axis=0) |
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return pos_embed |
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def get_2d_sincos_pos_embed_from_grid(embed_dim, grid): |
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assert embed_dim % 2 == 0 |
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emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, |
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grid[0]) |
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emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, |
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grid[1]) |
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emb = np.concatenate([emb_h, emb_w], axis=1) |
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return emb |
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def get_1d_sincos_pos_embed_from_grid(embed_dim, pos): |
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""" |
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embed_dim: output dimension for each position |
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pos: a list of positions to be encoded: size (M,) |
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out: (M, D) |
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""" |
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assert embed_dim % 2 == 0 |
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omega = np.arange(embed_dim // 2, dtype=np.float64) |
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omega /= embed_dim / 2. |
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omega = 1. / 10000**omega |
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pos = pos.reshape(-1) |
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out = np.einsum('m,d->md', pos, omega) |
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emb_sin = np.sin(out) |
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emb_cos = np.cos(out) |
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emb = np.concatenate([emb_sin, emb_cos], axis=1) |
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return emb |
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def DiT_XL_2(**kwargs): |
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return DiT(depth=28, |
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hidden_size=1152, |
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patch_size=2, |
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num_heads=16, |
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**kwargs) |
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def DiT_XL_4(**kwargs): |
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return DiT(depth=28, |
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hidden_size=1152, |
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patch_size=4, |
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num_heads=16, |
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**kwargs) |
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def DiT_XL_8(**kwargs): |
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return DiT(depth=28, |
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hidden_size=1152, |
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patch_size=8, |
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num_heads=16, |
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**kwargs) |
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def DiT_L_2(**kwargs): |
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return DiT(depth=24, |
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hidden_size=1024, |
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patch_size=2, |
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num_heads=16, |
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**kwargs) |
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def DiT_L_4(**kwargs): |
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return DiT(depth=24, |
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hidden_size=1024, |
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patch_size=4, |
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num_heads=16, |
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**kwargs) |
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def DiT_L_8(**kwargs): |
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return DiT(depth=24, |
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hidden_size=1024, |
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patch_size=8, |
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num_heads=16, |
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**kwargs) |
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def DiT_B_2(**kwargs): |
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return DiT(depth=12, hidden_size=768, patch_size=2, num_heads=12, **kwargs) |
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def DiT_B_4(**kwargs): |
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return DiT(depth=12, hidden_size=768, patch_size=4, num_heads=12, **kwargs) |
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def DiT_B_8(**kwargs): |
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return DiT(depth=12, hidden_size=768, patch_size=8, num_heads=12, **kwargs) |
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def DiT_B_16(**kwargs): |
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return DiT(depth=12, hidden_size=768, patch_size=16, num_heads=12, **kwargs) |
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def DiT_S_2(**kwargs): |
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return DiT(depth=12, hidden_size=384, patch_size=2, num_heads=6, **kwargs) |
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def DiT_S_4(**kwargs): |
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return DiT(depth=12, hidden_size=384, patch_size=4, num_heads=6, **kwargs) |
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def DiT_S_8(**kwargs): |
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return DiT(depth=12, hidden_size=384, patch_size=8, num_heads=6, **kwargs) |
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DiT_models = { |
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'DiT-XL/2': DiT_XL_2, |
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'DiT-XL/4': DiT_XL_4, |
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'DiT-XL/8': DiT_XL_8, |
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'DiT-L/2': DiT_L_2, |
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'DiT-L/4': DiT_L_4, |
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'DiT-L/8': DiT_L_8, |
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'DiT-B/2': DiT_B_2, |
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'DiT-B/4': DiT_B_4, |
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'DiT-B/8': DiT_B_8, |
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'DiT-B/16': DiT_B_16, |
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'DiT-S/2': DiT_S_2, |
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'DiT-S/4': DiT_S_4, |
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'DiT-S/8': DiT_S_8, |
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} |
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