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Running on Zero
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1587925 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 | import torch
import torch.nn as nn
import numpy as np
import math
from timm.models.vision_transformer import PatchEmbed, Mlp
from timm.models.vision_transformer import Attention
import torch.nn.functional as F
def modulate(x, scale, shift):
return x * (1 + scale.unsqueeze(1)) + shift.unsqueeze(1)
class TimestepEmbedder(nn.Module):
def __init__(self, dim, nfreq=256):
super().__init__()
self.mlp = nn.Sequential(nn.Linear(nfreq, dim), nn.SiLU(), nn.Linear(dim, dim))
self.nfreq = nfreq
@staticmethod
def timestep_embedding(t, dim, max_period=10000):
half_dim = dim // 2
freqs = torch.exp(
-math.log(max_period)
* torch.arange(start=0, end=half_dim, dtype=torch.float32)
/ half_dim
).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 = t * 1000
t_freq = self.timestep_embedding(t, self.nfreq)
t_emb = self.mlp(t_freq)
return t_emb
class LabelEmbedder(nn.Module):
def __init__(self, num_classes, dim):
super().__init__()
self.embedding = nn.Embedding(num_classes + 1, dim)
self.num_classes = num_classes
def forward(self, labels):
embeddings = self.embedding(labels)
return embeddings
class RMSNorm(nn.Module):
def __init__(self, dim, device=None, dtype=None):
super().__init__()
self.scale = dim**0.5
self.g = nn.Parameter(torch.ones(1, device=device, dtype=dtype))
def forward(self, x):
return F.normalize(x, dim=-1) * self.scale * self.g
class DiTBlock(nn.Module):
def __init__(self, dim, num_heads, mlp_ratio=4.0):
super().__init__()
self.norm1 = RMSNorm(dim)
self.attn = Attention(
dim, num_heads=num_heads, qkv_bias=True, qk_norm=True, norm_layer=RMSNorm
)
# Explicit attention supports JVP-based objectives.
self.attn.fused_attn = False
self.norm2 = RMSNorm(dim)
mlp_dim = int(dim * mlp_ratio)
approx_gelu = lambda: nn.GELU(approximate="tanh")
self.mlp = Mlp(in_features=dim, hidden_features=mlp_dim, act_layer=approx_gelu, drop=0)
self.adaLN_modulation = nn.Sequential(nn.SiLU(), nn.Linear(dim, 6 * dim))
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), scale_msa, shift_msa))
x = x + gate_mlp.unsqueeze(1) * self.mlp(modulate(self.norm2(x), scale_mlp, shift_mlp))
return x
class FinalLayer(nn.Module):
def __init__(self, dim, patch_size, out_dim):
super().__init__()
self.norm_final = RMSNorm(dim)
self.linear = nn.Linear(dim, patch_size * patch_size * out_dim)
self.adaLN_modulation = nn.Sequential(nn.SiLU(), nn.Linear(dim, 2 * dim))
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 MFDiT(nn.Module):
def __init__(
self,
input_size=32,
patch_size=2,
in_channels=4,
dim=1152,
depth=28,
num_heads=16,
mlp_ratio=4.0,
num_register_tokens=4,
num_classes=1000,
):
super().__init__()
self.in_channels = in_channels
self.out_channels = in_channels
self.patch_size = patch_size
self.num_heads = num_heads
self.num_classes = num_classes
self.x_embedder = PatchEmbed(input_size, patch_size, in_channels, dim)
self.t_embedder = TimestepEmbedder(dim)
self.r_embedder = TimestepEmbedder(dim)
self.use_cond = num_classes is not None
self.y_embedder = LabelEmbedder(num_classes, dim) if self.use_cond else None
num_patches = self.x_embedder.num_patches
self.pos_embed = nn.Parameter(torch.zeros(1, num_patches, dim), requires_grad=True)
self.blocks = nn.ModuleList([DiTBlock(dim, num_heads, mlp_ratio) for _ in range(depth)])
self.final_layer = FinalLayer(dim, patch_size, self.out_channels)
self.initialize_weights()
def initialize_weights(self):
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)
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))
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)
if self.y_embedder is not None:
nn.init.normal_(self.y_embedder.embedding.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)
for block in self.blocks:
nn.init.constant_(block.adaLN_modulation[-1].weight, 0)
nn.init.constant_(block.adaLN_modulation[-1].bias, 0)
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):
"""Reconstruct an NCHW tensor from flattened patch predictions."""
c = self.out_channels
p = self.x_embedder.patch_size[0]
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_features(self, x, t, r, y=None, out_indices=[2, 5, 8, 11]):
x = self.x_embedder(x) + self.pos_embed
t = self.t_embedder(t)
r = self.r_embedder(r)
t = t + r
c = t
if self.use_cond and y is not None:
y = self.y_embedder(y)
c = c + y
features = []
for i, block in enumerate(self.blocks):
x = block(x, c)
if i in out_indices:
features.append(x)
return features
def forward(self, x, t, r, y=None):
"""Predict a velocity field with the same spatial shape as the input."""
H, W = x.shape[-2:]
x = self.x_embedder(x) + self.pos_embed
t = self.t_embedder(t)
r = self.r_embedder(r)
t = t + r
c = t
if self.use_cond:
y = self.y_embedder(y)
c = c + y
for i, block in enumerate(self.blocks):
x = block(x, c)
x = self.final_layer(x, c)
x = self.unpatchify(x)
return x
# Positional embeddings adapted from:
# 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):
"""Return 2D sine-cosine embeddings with optional zero-valued prefix tokens."""
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)
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
emb_h = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[0])
emb_w = get_1d_sincos_pos_embed_from_grid(embed_dim // 2, grid[1])
emb = np.concatenate([emb_h, emb_w], axis=1)
return emb
def get_1d_sincos_pos_embed_from_grid(embed_dim, pos):
"""Return sine-cosine embeddings for flattened positions."""
assert embed_dim % 2 == 0
omega = np.arange(embed_dim // 2, dtype=np.float64)
omega /= embed_dim / 2.0
omega = 1.0 / 10000**omega
pos = pos.reshape(-1)
out = np.einsum("m,d->md", pos, omega)
emb_sin = np.sin(out)
emb_cos = np.cos(out)
emb = np.concatenate([emb_sin, emb_cos], axis=1)
return emb
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