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import math |
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import torch |
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import torch.nn as nn |
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from einops import rearrange |
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from einops.layers.torch import Rearrange |
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def FeedForward(dim, mult=4): |
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inner_dim = int(dim * mult) |
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return nn.Sequential( |
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nn.LayerNorm(dim), |
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nn.Linear(dim, inner_dim, bias=False), |
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nn.GELU(), |
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nn.Linear(inner_dim, dim, bias=False), |
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) |
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def reshape_tensor(x, heads): |
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bs, length, width = x.shape |
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x = x.view(bs, length, heads, -1) |
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x = x.transpose(1, 2) |
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x = x.reshape(bs, heads, length, -1) |
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return x |
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class PerceiverAttention(nn.Module): |
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def __init__(self, *, dim, dim_head=64, heads=8): |
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super().__init__() |
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self.scale = dim_head ** -0.5 |
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self.dim_head = dim_head |
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self.heads = heads |
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inner_dim = dim_head * heads |
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self.norm1 = nn.LayerNorm(dim) |
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self.norm2 = nn.LayerNorm(dim) |
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self.to_q = nn.Linear(dim, inner_dim, bias=False) |
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self.to_kv = nn.Linear(dim, inner_dim * 2, bias=False) |
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self.to_out = nn.Linear(inner_dim, dim, bias=False) |
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def forward(self, x, latents): |
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""" |
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Args: |
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x (torch.Tensor): image features |
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shape (b, n1, D) |
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latent (torch.Tensor): latent features |
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shape (b, n2, D) |
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""" |
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x = self.norm1(x) |
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latents = self.norm2(latents) |
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b, l, _ = latents.shape |
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q = self.to_q(latents) |
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kv_input = torch.cat((x, latents), dim=-2) |
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k, v = self.to_kv(kv_input).chunk(2, dim=-1) |
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q = reshape_tensor(q, self.heads) |
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k = reshape_tensor(k, self.heads) |
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v = reshape_tensor(v, self.heads) |
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scale = 1 / math.sqrt(math.sqrt(self.dim_head)) |
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weight = (q * scale) @ (k * scale).transpose(-2, -1) |
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weight = torch.softmax(weight.float(), dim=-1).type(weight.dtype) |
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out = weight @ v |
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out = out.permute(0, 2, 1, 3).reshape(b, l, -1) |
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return self.to_out(out) |
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class Resampler(nn.Module): |
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def __init__( |
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self, |
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dim=1024, |
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depth=8, |
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dim_head=64, |
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heads=16, |
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num_queries=8, |
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embedding_dim=768, |
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output_dim=1024, |
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ff_mult=4, |
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max_seq_len: int = 257, |
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apply_pos_emb: bool = False, |
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num_latents_mean_pooled: int = 0, |
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): |
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super().__init__() |
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self.pos_emb = nn.Embedding(max_seq_len, embedding_dim) if apply_pos_emb else None |
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self.latents = nn.Parameter(torch.randn(1, num_queries, dim) / dim ** 0.5) |
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self.proj_in = nn.Linear(embedding_dim, dim) |
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self.proj_out = nn.Linear(dim, output_dim) |
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self.norm_out = nn.LayerNorm(output_dim) |
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self.to_latents_from_mean_pooled_seq = ( |
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nn.Sequential( |
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nn.LayerNorm(dim), |
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nn.Linear(dim, dim * num_latents_mean_pooled), |
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Rearrange("b (n d) -> b n d", n=num_latents_mean_pooled), |
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) |
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if num_latents_mean_pooled > 0 |
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else None |
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) |
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self.layers = nn.ModuleList([]) |
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for _ in range(depth): |
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self.layers.append( |
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nn.ModuleList( |
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[ |
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PerceiverAttention(dim=dim, dim_head=dim_head, heads=heads), |
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FeedForward(dim=dim, mult=ff_mult), |
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] |
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) |
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) |
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def forward(self, x): |
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if self.pos_emb is not None: |
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n, device = x.shape[1], x.device |
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pos_emb = self.pos_emb(torch.arange(n, device=device)) |
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x = x + pos_emb |
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latents = self.latents.repeat(x.size(0), 1, 1) |
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x = self.proj_in(x) |
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if self.to_latents_from_mean_pooled_seq: |
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meanpooled_seq = masked_mean(x, dim=1, mask=torch.ones(x.shape[:2], device=x.device, dtype=torch.bool)) |
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meanpooled_latents = self.to_latents_from_mean_pooled_seq(meanpooled_seq) |
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latents = torch.cat((meanpooled_latents, latents), dim=-2) |
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for attn, ff in self.layers: |
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latents = attn(x, latents) + latents |
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latents = ff(latents) + latents |
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latents = self.proj_out(latents) |
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return self.norm_out(latents) |
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def masked_mean(t, *, dim, mask=None): |
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if mask is None: |
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return t.mean(dim=dim) |
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denom = mask.sum(dim=dim, keepdim=True) |
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mask = rearrange(mask, "b n -> b n 1") |
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masked_t = t.masked_fill(~mask, 0.0) |
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return masked_t.sum(dim=dim) / denom.clamp(min=1e-5) |
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