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from __future__ import annotations | ||
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from typing import List | ||
from functools import partial | ||
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import torch | ||
import packaging.version as pkg_version | ||
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if pkg_version.parse(torch.__version__) < pkg_version.parse('2.4'): | ||
print('nested tensor NaViT was tested on pytorch 2.4') | ||
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from torch import nn, Tensor | ||
import torch.nn.functional as F | ||
from torch.nn import Module, ModuleList | ||
from torch.nested import nested_tensor | ||
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from einops import rearrange | ||
from einops.layers.torch import Rearrange | ||
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# helpers | ||
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def exists(val): | ||
return val is not None | ||
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def default(val, d): | ||
return val if exists(val) else d | ||
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def pair(t): | ||
return t if isinstance(t, tuple) else (t, t) | ||
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def divisible_by(numer, denom): | ||
return (numer % denom) == 0 | ||
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# feedforward | ||
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def FeedForward(dim, hidden_dim, dropout = 0.): | ||
return nn.Sequential( | ||
nn.LayerNorm(dim, bias = False), | ||
nn.Linear(dim, hidden_dim), | ||
nn.GELU(), | ||
nn.Dropout(dropout), | ||
nn.Linear(hidden_dim, dim), | ||
nn.Dropout(dropout) | ||
) | ||
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class Attention(Module): | ||
def __init__(self, dim, heads = 8, dim_head = 64, dropout = 0.): | ||
super().__init__() | ||
self.norm = nn.LayerNorm(dim, bias = False) | ||
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dim_inner = heads * dim_head | ||
self.heads = heads | ||
self.dim_head = dim_head | ||
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self.to_queries = nn.Linear(dim, dim_inner, bias = False) | ||
self.to_keys = nn.Linear(dim, dim_inner, bias = False) | ||
self.to_values = nn.Linear(dim, dim_inner, bias = False) | ||
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# in the paper, they employ qk rmsnorm, a way to stabilize attention | ||
# will use layernorm in place of rmsnorm, which has been shown to work in certain papers. requires l2norm on non-ragged dimension to be supported in nested tensors | ||
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self.query_norm = nn.LayerNorm(dim_head, bias = False) | ||
self.key_norm = nn.LayerNorm(dim_head, bias = False) | ||
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self.dropout = dropout | ||
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self.to_out = nn.Linear(dim_inner, dim, bias = False) | ||
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def forward( | ||
self, | ||
x, | ||
context: Tensor | None = None | ||
): | ||
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x = self.norm(x) | ||
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# for attention pooling, one query pooling to entire sequence | ||
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context = default(context, x) | ||
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# queries, keys, values | ||
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query = self.to_queries(x) | ||
key = self.to_keys(context) | ||
value = self.to_values(context) | ||
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# split heads | ||
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def split_heads(t): | ||
return t.unflatten(-1, (self.heads, self.dim_head)).transpose(1, 2).contiguous() | ||
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query, key, value = map(split_heads, (query, key, value)) | ||
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# qk norm for attention stability | ||
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query = self.query_norm(query) | ||
key = self.key_norm(key) | ||
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# attention | ||
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out = F.scaled_dot_product_attention( | ||
query, key, value, | ||
dropout_p = self.dropout if self.training else 0. | ||
) | ||
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# merge heads | ||
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out = out.transpose(1, 2).flatten(-2) | ||
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return self.to_out(out) | ||
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class Transformer(Module): | ||
def __init__(self, dim, depth, heads, dim_head, mlp_dim, dropout = 0.): | ||
super().__init__() | ||
self.layers = ModuleList([]) | ||
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for _ in range(depth): | ||
self.layers.append(ModuleList([ | ||
Attention(dim, heads = heads, dim_head = dim_head, dropout = dropout), | ||
FeedForward(dim, mlp_dim, dropout = dropout) | ||
])) | ||
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self.norm = nn.LayerNorm(dim, bias = False) | ||
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def forward(self, x): | ||
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for attn, ff in self.layers: | ||
x = attn(x) + x | ||
x = ff(x) + x | ||
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return self.norm(x) | ||
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class NaViT(Module): | ||
def __init__( | ||
self, | ||
*, | ||
image_size, | ||
max_frames, | ||
patch_size, | ||
frame_patch_size, | ||
num_classes, | ||
dim, | ||
depth, | ||
heads, | ||
mlp_dim, | ||
channels = 3, | ||
dim_head = 64, | ||
dropout = 0., | ||
emb_dropout = 0., | ||
token_dropout_prob: float | None = None | ||
): | ||
super().__init__() | ||
image_height, image_width = pair(image_size) | ||
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# what percent of tokens to dropout | ||
# if int or float given, then assume constant dropout prob | ||
# otherwise accept a callback that in turn calculates dropout prob from height and width | ||
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self.token_dropout_prob = token_dropout_prob | ||
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# calculate patching related stuff | ||
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assert divisible_by(image_height, patch_size) and divisible_by(image_width, patch_size), 'Image dimensions must be divisible by the patch size.' | ||
assert divisible_by(max_frames, frame_patch_size) | ||
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patch_frame_dim, patch_height_dim, patch_width_dim = (max_frames // frame_patch_size), (image_height // patch_size), (image_width // patch_size) | ||
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patch_dim = channels * (patch_size ** 2) * frame_patch_size | ||
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self.channels = channels | ||
self.patch_size = patch_size | ||
self.to_patches = Rearrange('c (f pf) (h p1) (w p2) -> f h w (c p1 p2 pf)', p1 = patch_size, p2 = patch_size, pf = frame_patch_size) | ||
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self.to_patch_embedding = nn.Sequential( | ||
nn.LayerNorm(patch_dim), | ||
nn.Linear(patch_dim, dim), | ||
nn.LayerNorm(dim), | ||
) | ||
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self.pos_embed_frame = nn.Parameter(torch.randn(patch_frame_dim, dim)) | ||
self.pos_embed_height = nn.Parameter(torch.randn(patch_height_dim, dim)) | ||
self.pos_embed_width = nn.Parameter(torch.randn(patch_width_dim, dim)) | ||
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self.dropout = nn.Dropout(emb_dropout) | ||
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self.transformer = Transformer(dim, depth, heads, dim_head, mlp_dim, dropout) | ||
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# final attention pooling queries | ||
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self.attn_pool_queries = nn.Parameter(torch.randn(dim)) | ||
self.attn_pool = Attention(dim = dim, dim_head = dim_head, heads = heads) | ||
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# output to logits | ||
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self.to_latent = nn.Identity() | ||
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self.mlp_head = nn.Sequential( | ||
nn.LayerNorm(dim, bias = False), | ||
nn.Linear(dim, num_classes, bias = False) | ||
) | ||
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@property | ||
def device(self): | ||
return next(self.parameters()).device | ||
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def forward( | ||
self, | ||
volumes: List[Tensor], # different resolution images / CT scans | ||
): | ||
batch, device = len(volumes), self.device | ||
arange = partial(torch.arange, device = device) | ||
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assert all([volume.ndim == 4 and volume.shape[0] == self.channels for volume in volumes]), f'all volumes must have {self.channels} channels and number of dimensions of {self.channels} (channels, frame, height, width)' | ||
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all_patches = [self.to_patches(volume) for volume in volumes] | ||
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# prepare factorized positional embedding height width indices | ||
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positions = [] | ||
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for patches in all_patches: | ||
patch_frame, patch_height, patch_width = patches.shape[:3] | ||
fhw_indices = torch.stack(torch.meshgrid((arange(patch_frame), arange(patch_height), arange(patch_width)), indexing = 'ij'), dim = -1) | ||
fhw_indices = rearrange(fhw_indices, 'f h w c -> (f h w) c') | ||
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positions.append(fhw_indices) | ||
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# need the sizes to compute token dropout + positional embedding | ||
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tokens = [rearrange(patches, 'f h w d -> (f h w) d') for patches in all_patches] | ||
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# handle token dropout | ||
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seq_lens = torch.tensor([i.shape[0] for i in tokens], device = device) | ||
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if self.training and self.token_dropout_prob > 0: | ||
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keep_seq_lens = ((1. - self.token_dropout_prob) * seq_lens).int().clamp(min = 1) | ||
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kept_tokens = [] | ||
kept_positions = [] | ||
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for one_image_tokens, one_image_positions, seq_len, num_keep in zip(tokens, positions, seq_lens, keep_seq_lens): | ||
keep_indices = torch.randn((seq_len,), device = device).topk(num_keep, dim = -1).indices | ||
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one_image_kept_tokens = one_image_tokens[keep_indices] | ||
one_image_kept_positions = one_image_positions[keep_indices] | ||
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kept_tokens.append(one_image_kept_tokens) | ||
kept_positions.append(one_image_kept_positions) | ||
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tokens, positions, seq_lens = kept_tokens, kept_positions, keep_seq_lens | ||
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# add all height and width factorized positions | ||
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frame_indices, height_indices, width_indices = torch.cat(positions).unbind(dim = -1) | ||
frame_embed, height_embed, width_embed = self.pos_embed_frame[frame_indices], self.pos_embed_height[height_indices], self.pos_embed_width[width_indices] | ||
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pos_embed = frame_embed + height_embed + width_embed | ||
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# use nested tensor for transformers and save on padding computation | ||
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tokens = torch.cat(tokens) | ||
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# linear projection to patch embeddings | ||
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tokens = self.to_patch_embedding(tokens) | ||
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# absolute positions | ||
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tokens = tokens + pos_embed | ||
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tokens = nested_tensor(tokens.split(seq_len.tolist()), layout = torch.jagged, device = device) | ||
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# embedding dropout | ||
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tokens = self.dropout(tokens) | ||
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# transformer | ||
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tokens = self.transformer(tokens) | ||
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# attention pooling | ||
# will use a jagged tensor for queries, as SDPA requires all inputs to be jagged, or not | ||
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attn_pool_queries = [rearrange(self.attn_pool_queries, '... -> 1 ...')] * batch | ||
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attn_pool_queries = nested_tensor(attn_pool_queries, layout = torch.jagged) | ||
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pooled = self.attn_pool(attn_pool_queries, tokens) | ||
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# back to unjagged | ||
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logits = torch.stack(pooled.unbind()) | ||
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logits = rearrange(logits, 'b 1 d -> b d') | ||
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logits = self.to_latent(logits) | ||
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return self.mlp_head(logits) | ||
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# quick test | ||
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if __name__ == '__main__': | ||
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# works for torch 2.4 | ||
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v = NaViT( | ||
image_size = 256, | ||
max_frames = 8, | ||
patch_size = 32, | ||
frame_patch_size = 2, | ||
num_classes = 1000, | ||
dim = 1024, | ||
depth = 6, | ||
heads = 16, | ||
mlp_dim = 2048, | ||
dropout = 0., | ||
emb_dropout = 0., | ||
token_dropout_prob = 0.1 | ||
) | ||
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# 5 volumetric data (videos or CT scans) of different resolutions - List[Tensor] | ||
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volumes = [ | ||
torch.randn(3, 2, 256, 256), torch.randn(3, 8, 128, 128), | ||
torch.randn(3, 4, 128, 256), torch.randn(3, 2, 256, 128), | ||
torch.randn(3, 4, 64, 256) | ||
] | ||
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assert v(volumes).shape == (5, 1000) |