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import torch | ||
import torch.nn.functional as F | ||
from torch import nn | ||
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from einops import rearrange | ||
from einops.layers.torch import Rearrange | ||
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# helpers | ||
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def pair(t): | ||
return t if isinstance(t, tuple) else (t, t) | ||
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def posemb_sincos_3d(patches, temperature = 10000, dtype = torch.float32): | ||
_, f, h, w, dim, device, dtype = *patches.shape, patches.device, patches.dtype | ||
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z, y, x = torch.meshgrid( | ||
torch.arange(f, device = device), | ||
torch.arange(h, device = device), | ||
torch.arange(w, device = device), | ||
indexing = 'ij') | ||
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fourier_dim = dim // 6 | ||
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omega = torch.arange(fourier_dim, device = device) / (fourier_dim - 1) | ||
omega = 1. / (temperature ** omega) | ||
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z = z.flatten()[:, None] * omega[None, :] | ||
y = y.flatten()[:, None] * omega[None, :] | ||
x = x.flatten()[:, None] * omega[None, :] | ||
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pe = torch.cat((x.sin(), x.cos(), y.sin(), y.cos(), z.sin(), z.cos()), dim = 1) | ||
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pe = F.pad(pe, (0, dim - (fourier_dim * 6))) # pad if feature dimension not cleanly divisible by 6 | ||
return pe.type(dtype) | ||
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# classes | ||
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class FeedForward(nn.Module): | ||
def __init__(self, dim, hidden_dim): | ||
super().__init__() | ||
self.net = nn.Sequential( | ||
nn.LayerNorm(dim), | ||
nn.Linear(dim, hidden_dim), | ||
nn.GELU(), | ||
nn.Linear(hidden_dim, dim), | ||
) | ||
def forward(self, x): | ||
return self.net(x) | ||
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class Attention(nn.Module): | ||
def __init__(self, dim, heads = 8, dim_head = 64): | ||
super().__init__() | ||
inner_dim = dim_head * heads | ||
self.heads = heads | ||
self.scale = dim_head ** -0.5 | ||
self.norm = nn.LayerNorm(dim) | ||
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self.attend = nn.Softmax(dim = -1) | ||
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self.to_qkv = nn.Linear(dim, inner_dim * 3, bias = False) | ||
self.to_out = nn.Linear(inner_dim, dim, bias = False) | ||
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def forward(self, x): | ||
x = self.norm(x) | ||
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qkv = self.to_qkv(x).chunk(3, dim = -1) | ||
q, k, v = map(lambda t: rearrange(t, 'b n (h d) -> b h n d', h = self.heads), qkv) | ||
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dots = torch.matmul(q, k.transpose(-1, -2)) * self.scale | ||
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attn = self.attend(dots) | ||
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out = torch.matmul(attn, v) | ||
out = rearrange(out, 'b h n d -> b n (h d)') | ||
return self.to_out(out) | ||
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class Transformer(nn.Module): | ||
def __init__(self, dim, depth, heads, dim_head, mlp_dim): | ||
super().__init__() | ||
self.layers = nn.ModuleList([]) | ||
for _ in range(depth): | ||
self.layers.append(nn.ModuleList([ | ||
Attention(dim, heads = heads, dim_head = dim_head), | ||
FeedForward(dim, mlp_dim) | ||
])) | ||
def forward(self, x): | ||
for attn, ff in self.layers: | ||
x = attn(x) + x | ||
x = ff(x) + x | ||
return x | ||
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class SimpleViT(nn.Module): | ||
def __init__(self, *, image_size, image_patch_size, frames, frame_patch_size, num_classes, dim, depth, heads, mlp_dim, channels = 3, dim_head = 64): | ||
super().__init__() | ||
image_height, image_width = pair(image_size) | ||
patch_height, patch_width = pair(image_patch_size) | ||
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assert image_height % patch_height == 0 and image_width % patch_width == 0, 'Image dimensions must be divisible by the patch size.' | ||
assert frames % frame_patch_size == 0, 'Frames must be divisible by the frame patch size' | ||
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num_patches = (image_height // patch_height) * (image_width // patch_width) * (frames // frame_patch_size) | ||
patch_dim = channels * patch_height * patch_width * frame_patch_size | ||
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self.to_patch_embedding = nn.Sequential( | ||
Rearrange('b c (f pf) (h p1) (w p2) -> b f h w (p1 p2 pf c)', p1 = patch_height, p2 = patch_width, pf = frame_patch_size), | ||
nn.Linear(patch_dim, dim), | ||
) | ||
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self.transformer = Transformer(dim, depth, heads, dim_head, mlp_dim) | ||
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self.to_latent = nn.Identity() | ||
self.linear_head = nn.Sequential( | ||
nn.LayerNorm(dim), | ||
nn.Linear(dim, num_classes) | ||
) | ||
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def forward(self, img): | ||
*_, h, w, dtype = *img.shape, img.dtype | ||
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x = self.to_patch_embedding(img) | ||
pe = posemb_sincos_3d(x) | ||
x = rearrange(x, 'b ... d -> b (...) d') + pe | ||
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x = self.transformer(x) | ||
x = x.mean(dim = 1) | ||
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x = self.to_latent(x) | ||
return self.linear_head(x) |