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371 lines
15 KiB
Python
371 lines
15 KiB
Python
# Copyright (c) Meta Platforms, Inc. and affiliates.
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# All rights reserved.
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# This source code is licensed under the license found in the
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# LICENSE file in the root directory of this source tree.
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# --------------------------------------------------------
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# References:
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# GLIDE: https://github.com/openai/glide-text2im
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# MAE: https://github.com/facebookresearch/mae/blob/main/models_mae.py
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# --------------------------------------------------------
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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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def modulate(x, shift, scale):
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return x * (1 + scale.unsqueeze(1)) + shift.unsqueeze(1)
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#################################################################################
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# Embedding Layers for Timesteps and Class Labels #
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#################################################################################
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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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# https://github.com/openai/glide-text2im/blob/main/glide_text2im/nn.py
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half = dim // 2
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freqs = torch.exp(
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-math.log(max_period) * torch.arange(start=0, end=half, dtype=torch.float32) / half
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).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([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, 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], 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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#################################################################################
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# Core DiT Model #
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#################################################################################
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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, elementwise_affine=False, eps=1e-6)
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self.attn = Attention(hidden_size, num_heads=num_heads, qkv_bias=True, **block_kwargs)
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self.norm2 = nn.LayerNorm(hidden_size, elementwise_affine=False, 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, hidden_features=mlp_hidden_dim, act_layer=approx_gelu, drop=0)
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self.adaLN_modulation = nn.Sequential(
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nn.SiLU(),
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nn.Linear(hidden_size, 6 * hidden_size, bias=True)
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)
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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(c).chunk(6, dim=1)
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x = x + gate_msa.unsqueeze(1) * self.attn(modulate(self.norm1(x), shift_msa, scale_msa))
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x = x + gate_mlp.unsqueeze(1) * self.mlp(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.
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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, elementwise_affine=False, eps=1e-6)
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self.linear = nn.Linear(hidden_size, patch_size * patch_size * out_channels, bias=True)
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self.adaLN_modulation = nn.Sequential(
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nn.SiLU(),
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nn.Linear(hidden_size, 2 * hidden_size, bias=True)
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)
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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, patch_size, in_channels, hidden_size, bias=True)
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self.t_embedder = TimestepEmbedder(hidden_size)
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self.y_embedder = LabelEmbedder(num_classes, hidden_size, class_dropout_prob)
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num_patches = self.x_embedder.num_patches
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# Will use fixed sin-cos embedding:
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self.pos_embed = nn.Parameter(torch.zeros(1, num_patches, hidden_size), requires_grad=False)
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self.blocks = nn.ModuleList([
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DiTBlock(hidden_size, num_heads, mlp_ratio=mlp_ratio) for _ in range(depth)
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])
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self.final_layer = FinalLayer(hidden_size, patch_size, self.out_channels)
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self.initialize_weights()
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def initialize_weights(self):
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# Initialize transformer layers:
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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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# Initialize (and freeze) pos_embed by sin-cos embedding:
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pos_embed = get_2d_sincos_pos_embed(self.pos_embed.shape[-1], int(self.x_embedder.num_patches ** 0.5))
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self.pos_embed.data.copy_(torch.from_numpy(pos_embed).float().unsqueeze(0))
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# Initialize patch_embed like nn.Linear (instead of nn.Conv2d):
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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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# Initialize label embedding table:
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nn.init.normal_(self.y_embedder.embedding_table.weight, std=0.02)
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# Initialize timestep embedding MLP:
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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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# Zero-out adaLN modulation layers in DiT blocks:
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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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# Zero-out output layers:
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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):
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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(x) + self.pos_embed # (N, T, D), where T = H * W / patch_size ** 2
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t = self.t_embedder(t) # (N, D)
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y = self.y_embedder(y, self.training) # (N, D)
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c = t + y # (N, D)
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for block in self.blocks:
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x = block(x, c) # (N, T, D)
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x = self.final_layer(x, c) # (N, T, patch_size ** 2 * out_channels)
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x = self.unpatchify(x) # (N, out_channels, H, W)
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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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# https://github.com/openai/glide-text2im/blob/main/notebooks/text2im.ipynb
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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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# For exact reproducibility reasons, we apply classifier-free guidance on only
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# three channels by default. The standard approach to cfg applies it to all channels.
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# This can be done by uncommenting the following line and commenting-out the line following that.
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# eps, rest = model_out[:, :self.in_channels], model_out[:, self.in_channels:]
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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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#################################################################################
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# Sine/Cosine Positional Embedding Functions #
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#################################################################################
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# https://github.com/facebookresearch/mae/blob/main/util/pos_embed.py
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def get_2d_sincos_pos_embed(embed_dim, grid_size, cls_token=False, 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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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) # here w goes first
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grid = np.stack(grid, axis=0)
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grid = grid.reshape([2, 1, grid_size, grid_size])
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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([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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# use half of dimensions to encode grid_h
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emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[0]) # (H*W, D/2)
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emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[1]) # (H*W, D/2)
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emb = np.concatenate([emb_h, emb_w], axis=1) # (H*W, D)
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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 # (D/2,)
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pos = pos.reshape(-1) # (M,)
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out = np.einsum('m,d->md', pos, omega) # (M, D/2), outer product
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emb_sin = np.sin(out) # (M, D/2)
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emb_cos = np.cos(out) # (M, D/2)
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emb = np.concatenate([emb_sin, emb_cos], axis=1) # (M, D)
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return emb
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#################################################################################
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# DiT Configs #
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#################################################################################
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def DiT_XL_2(**kwargs):
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return DiT(depth=28, hidden_size=1152, patch_size=2, num_heads=16, **kwargs)
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def DiT_XL_4(**kwargs):
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return DiT(depth=28, hidden_size=1152, patch_size=4, num_heads=16, **kwargs)
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def DiT_XL_8(**kwargs):
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return DiT(depth=28, hidden_size=1152, patch_size=8, num_heads=16, **kwargs)
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def DiT_L_2(**kwargs):
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return DiT(depth=24, hidden_size=1024, patch_size=2, num_heads=16, **kwargs)
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def DiT_L_4(**kwargs):
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return DiT(depth=24, hidden_size=1024, patch_size=4, num_heads=16, **kwargs)
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def DiT_L_8(**kwargs):
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return DiT(depth=24, hidden_size=1024, patch_size=8, num_heads=16, **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_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, 'DiT-XL/4': DiT_XL_4, 'DiT-XL/8': DiT_XL_8,
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'DiT-L/2': DiT_L_2, 'DiT-L/4': DiT_L_4, 'DiT-L/8': DiT_L_8,
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'DiT-B/2': DiT_B_2, 'DiT-B/4': DiT_B_4, 'DiT-B/8': DiT_B_8,
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'DiT-S/2': DiT_S_2, 'DiT-S/4': DiT_S_4, 'DiT-S/8': DiT_S_8,
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}
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