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vit-pytorch/vit_pytorch/simple_vit_with_hyper_connections.py

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Python

"""
ViT + Hyper-Connections + Register Tokens
https://arxiv.org/abs/2409.19606
"""
import torch
from torch import nn, tensor
from torch.nn import Module, ModuleList
from einops import rearrange, repeat, reduce, einsum, pack, unpack
from einops.layers.torch import Rearrange
# b - batch, h - heads, n - sequence, e - expansion rate / residual streams, d - feature dimension
# helpers
def pair(t):
return t if isinstance(t, tuple) else (t, t)
def posemb_sincos_2d(h, w, dim, temperature: int = 10000, dtype = torch.float32):
y, x = torch.meshgrid(torch.arange(h), torch.arange(w), indexing="ij")
assert (dim % 4) == 0, "feature dimension must be multiple of 4 for sincos emb"
omega = torch.arange(dim // 4) / (dim // 4 - 1)
omega = 1.0 / (temperature ** omega)
y = y.flatten()[:, None] * omega[None, :]
x = x.flatten()[:, None] * omega[None, :]
pe = torch.cat((x.sin(), x.cos(), y.sin(), y.cos()), dim=1)
return pe.type(dtype)
# hyper connections
class HyperConnection(Module):
def __init__(
self,
dim,
num_residual_streams,
layer_index
):
""" Appendix J - Algorithm 2, Dynamic only """
super().__init__()
self.norm = nn.LayerNorm(dim, bias = False)
self.num_residual_streams = num_residual_streams
self.layer_index = layer_index
self.static_beta = nn.Parameter(torch.ones(num_residual_streams))
init_alpha0 = torch.zeros((num_residual_streams, 1))
init_alpha0[layer_index % num_residual_streams, 0] = 1.
self.static_alpha = nn.Parameter(torch.cat([init_alpha0, torch.eye(num_residual_streams)], dim = 1))
self.dynamic_alpha_fn = nn.Parameter(torch.zeros(dim, num_residual_streams + 1))
self.dynamic_alpha_scale = nn.Parameter(tensor(1e-2))
self.dynamic_beta_fn = nn.Parameter(torch.zeros(dim))
self.dynamic_beta_scale = nn.Parameter(tensor(1e-2))
def width_connection(self, residuals):
normed = self.norm(residuals)
wc_weight = (normed @ self.dynamic_alpha_fn).tanh()
dynamic_alpha = wc_weight * self.dynamic_alpha_scale
alpha = dynamic_alpha + self.static_alpha
dc_weight = (normed @ self.dynamic_beta_fn).tanh()
dynamic_beta = dc_weight * self.dynamic_beta_scale
beta = dynamic_beta + self.static_beta
# width connection
mix_h = einsum(alpha, residuals, '... e1 e2, ... e1 d -> ... e2 d')
branch_input, residuals = mix_h[..., 0, :], mix_h[..., 1:, :]
return branch_input, residuals, beta
def depth_connection(
self,
residuals,
branch_output,
beta
):
return einsum(branch_output, beta, "b n d, b n e -> b n e d") + residuals
# classes
class FeedForward(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)
class Attention(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)
self.attend = nn.Softmax(dim = -1)
self.to_qkv = nn.Linear(dim, inner_dim * 3, bias = False)
self.to_out = nn.Linear(inner_dim, dim, bias = False)
def forward(self, x):
x = self.norm(x)
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)
dots = torch.matmul(q, k.transpose(-1, -2)) * self.scale
attn = self.attend(dots)
out = torch.matmul(attn, v)
out = rearrange(out, 'b h n d -> b n (h d)')
return self.to_out(out)
class Transformer(Module):
def __init__(self, dim, depth, heads, dim_head, mlp_dim, num_residual_streams):
super().__init__()
self.num_residual_streams = num_residual_streams
self.norm = nn.LayerNorm(dim)
self.layers = ModuleList([])
for layer_index in range(depth):
self.layers.append(nn.ModuleList([
HyperConnection(dim, num_residual_streams, layer_index),
Attention(dim, heads = heads, dim_head = dim_head),
HyperConnection(dim, num_residual_streams, layer_index),
FeedForward(dim, mlp_dim)
]))
def forward(self, x):
x = repeat(x, 'b n d -> b n e d', e = self.num_residual_streams)
for attn_hyper_conn, attn, ff_hyper_conn, ff in self.layers:
x, attn_res, beta = attn_hyper_conn.width_connection(x)
x = attn(x)
x = attn_hyper_conn.depth_connection(attn_res, x, beta)
x, ff_res, beta = ff_hyper_conn.width_connection(x)
x = ff(x)
x = ff_hyper_conn.depth_connection(ff_res, x, beta)
x = reduce(x, 'b n e d -> b n d', 'sum')
return self.norm(x)
class SimpleViT(nn.Module):
def __init__(self, *, image_size, patch_size, num_classes, dim, depth, heads, mlp_dim, num_residual_streams, num_register_tokens = 4, channels = 3, dim_head = 64):
super().__init__()
image_height, image_width = pair(image_size)
patch_height, patch_width = pair(patch_size)
assert image_height % patch_height == 0 and image_width % patch_width == 0, 'Image dimensions must be divisible by the patch size.'
patch_dim = channels * patch_height * patch_width
self.to_patch_embedding = nn.Sequential(
Rearrange("b c (h p1) (w p2) -> b (h w) (p1 p2 c)", p1 = patch_height, p2 = patch_width),
nn.LayerNorm(patch_dim),
nn.Linear(patch_dim, dim),
nn.LayerNorm(dim),
)
self.register_tokens = nn.Parameter(torch.randn(num_register_tokens, dim))
self.pos_embedding = posemb_sincos_2d(
h = image_height // patch_height,
w = image_width // patch_width,
dim = dim,
)
self.transformer = Transformer(dim, depth, heads, dim_head, mlp_dim, num_residual_streams)
self.pool = "mean"
self.to_latent = nn.Identity()
self.linear_head = nn.Linear(dim, num_classes)
def forward(self, img):
batch, device = img.shape[0], img.device
x = self.to_patch_embedding(img)
x += self.pos_embedding.to(x)
r = repeat(self.register_tokens, 'n d -> b n d', b = batch)
x, ps = pack([x, r], 'b * d')
x = self.transformer(x)
x, _ = unpack(x, ps, 'b * d')
x = x.mean(dim = 1)
x = self.to_latent(x)
return self.linear_head(x)
# main
if __name__ == '__main__':
vit = SimpleViT(
num_classes = 1000,
image_size = 256,
patch_size = 8,
dim = 1024,
depth = 12,
heads = 8,
mlp_dim = 2048,
num_residual_streams = 8
)
images = torch.randn(3, 3, 256, 256)
logits = vit(images)