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| import torch
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| from torch import Tensor, nn
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| import math
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| from typing import Tuple, Type
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| class MLPBlock3D(nn.Module):
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| def __init__(
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| self,
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| embedding_dim: int,
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| mlp_dim: int,
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| act: Type[nn.Module] = nn.GELU,
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| ) -> None:
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| super().__init__()
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| self.lin1 = nn.Linear(embedding_dim, mlp_dim)
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| self.lin2 = nn.Linear(mlp_dim, embedding_dim)
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| self.act = act()
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| def forward(self, x: torch.Tensor) -> torch.Tensor:
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| return self.lin2(self.act(self.lin1(x)))
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| class TwoWayTransformer3D(nn.Module):
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| def __init__(
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| self,
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| depth: int,
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| embedding_dim: int,
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| num_heads: int,
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| mlp_dim: int,
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| activation: Type[nn.Module] = nn.ReLU,
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| attention_downsample_rate: int = 2,
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| ) -> None:
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| """
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| A transformer decoder that attends to an input image using
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| queries whose positional embedding is supplied.
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| Args:
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| depth (int): number of layers in the transformer
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| embedding_dim (int): the channel dimension for the input embeddings
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| num_heads (int): the number of heads for multihead attention. Must
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| divide embedding_dim
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| mlp_dim (int): the channel dimension internal to the MLP block
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| activation (nn.Module): the activation to use in the MLP block
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| """
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| super().__init__()
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| self.depth = depth
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| self.embedding_dim = embedding_dim
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| self.num_heads = num_heads
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| self.mlp_dim = mlp_dim
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| self.layers = nn.ModuleList()
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| for i in range(depth):
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| self.layers.append(
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| TwoWayAttentionBlock3D(
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| embedding_dim=embedding_dim,
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| num_heads=num_heads,
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| mlp_dim=mlp_dim,
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| activation=activation,
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| attention_downsample_rate=attention_downsample_rate,
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| skip_first_layer_pe=(i == 0),
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| )
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| )
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| self.final_attn_token_to_image = Attention(
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| embedding_dim, num_heads, downsample_rate=attention_downsample_rate
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| )
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| self.norm_final_attn = nn.LayerNorm(embedding_dim)
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|
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| def forward(
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| self,
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| image_embedding: Tensor,
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| image_pe: Tensor,
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| point_embedding: Tensor,
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| ) -> Tuple[Tensor, Tensor]:
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| """
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| Args:
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| image_embedding (torch.Tensor): image to attend to. Should be shape
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| B x embedding_dim x h x w for any h and w.
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| image_pe (torch.Tensor): the positional encoding to add to the image. Must
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| have the same shape as image_embedding.
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| point_embedding (torch.Tensor): the embedding to add to the query points.
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| Must have shape B x N_points x embedding_dim for any N_points.
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| Returns:
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| torch.Tensor: the processed point_embedding
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| torch.Tensor: the processed image_embedding
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| """
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| bs, c, x, y, z = image_embedding.shape
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| image_embedding = image_embedding.flatten(2).permute(0, 2, 1)
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| image_pe = image_pe.flatten(2).permute(0, 2, 1)
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| queries = point_embedding
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| keys = image_embedding
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| for layer in self.layers:
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| queries, keys = layer(
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| queries=queries,
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| keys=keys,
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| query_pe=point_embedding,
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| key_pe=image_pe,
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| )
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| q = queries + point_embedding
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| k = keys + image_pe
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| attn_out = self.final_attn_token_to_image(q=q, k=k, v=keys)
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| queries = queries + attn_out
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| queries = self.norm_final_attn(queries)
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| return queries, keys
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| class TwoWayAttentionBlock3D(nn.Module):
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| def __init__(
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| self,
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| embedding_dim: int,
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| num_heads: int,
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| mlp_dim: int = 2048,
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| activation: Type[nn.Module] = nn.ReLU,
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| attention_downsample_rate: int = 2,
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| skip_first_layer_pe: bool = False,
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| ) -> None:
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| """
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| A transformer block with four layers: (1) self-attention of sparse
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| inputs, (2) cross attention of sparse inputs to dense inputs, (3) mlp
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| block on sparse inputs, and (4) cross attention of dense inputs to sparse
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| inputs.
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| Arguments:
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| embedding_dim (int): the channel dimension of the embeddings
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| num_heads (int): the number of heads in the attention layers
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| mlp_dim (int): the hidden dimension of the mlp block
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| activation (nn.Module): the activation of the mlp block
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| skip_first_layer_pe (bool): skip the PE on the first layer
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| """
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| super().__init__()
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| self.self_attn = Attention(embedding_dim, num_heads)
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| self.norm1 = nn.LayerNorm(embedding_dim)
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| self.cross_attn_token_to_image = Attention(
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| embedding_dim, num_heads, downsample_rate=attention_downsample_rate
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| )
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| self.norm2 = nn.LayerNorm(embedding_dim)
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| self.mlp = MLPBlock3D(embedding_dim, mlp_dim, activation)
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| self.norm3 = nn.LayerNorm(embedding_dim)
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| self.norm4 = nn.LayerNorm(embedding_dim)
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| self.cross_attn_image_to_token = Attention(
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| embedding_dim, num_heads, downsample_rate=attention_downsample_rate
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| )
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| self.skip_first_layer_pe = skip_first_layer_pe
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|
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| def forward(
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| self, queries: Tensor, keys: Tensor, query_pe: Tensor, key_pe: Tensor
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| ) -> Tuple[Tensor, Tensor]:
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| if self.skip_first_layer_pe:
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| queries = self.self_attn(q=queries, k=queries, v=queries)
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| else:
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| q = queries + query_pe
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| attn_out = self.self_attn(q=q, k=q, v=queries)
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| queries = queries + attn_out
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| queries = self.norm1(queries)
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| q = queries + query_pe
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| k = keys + key_pe
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| attn_out = self.cross_attn_token_to_image(q=q, k=k, v=keys)
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| queries = queries + attn_out
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| queries = self.norm2(queries)
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| mlp_out = self.mlp(queries)
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| queries = queries + mlp_out
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| queries = self.norm3(queries)
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| q = queries + query_pe
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| k = keys + key_pe
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| attn_out = self.cross_attn_image_to_token(q=k, k=q, v=queries)
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| keys = keys + attn_out
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| keys = self.norm4(keys)
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| return queries, keys
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| class Attention(nn.Module):
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| """
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| An attention layer that allows for downscaling the size of the embedding
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| after projection to queries, keys, and values.
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| """
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|
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| def __init__(
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| self,
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| embedding_dim: int,
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| num_heads: int,
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| downsample_rate: int = 1,
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| ) -> None:
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| super().__init__()
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| self.embedding_dim = embedding_dim
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| self.internal_dim = embedding_dim // downsample_rate
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| self.num_heads = num_heads
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| assert self.internal_dim % num_heads == 0, "num_heads must divide embedding_dim."
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| self.q_proj = nn.Linear(embedding_dim, self.internal_dim)
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| self.k_proj = nn.Linear(embedding_dim, self.internal_dim)
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| self.v_proj = nn.Linear(embedding_dim, self.internal_dim)
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| self.out_proj = nn.Linear(self.internal_dim, embedding_dim)
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|
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| def _separate_heads(self, x: Tensor, num_heads: int) -> Tensor:
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| b, n, c = x.shape
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| x = x.reshape(b, n, num_heads, c // num_heads)
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| return x.transpose(1, 2)
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|
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| def _recombine_heads(self, x: Tensor) -> Tensor:
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| b, n_heads, n_tokens, c_per_head = x.shape
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| x = x.transpose(1, 2)
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| return x.reshape(b, n_tokens, n_heads * c_per_head)
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|
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| def forward(self, q: Tensor, k: Tensor, v: Tensor) -> Tensor:
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| q = self.q_proj(q)
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| k = self.k_proj(k)
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| v = self.v_proj(v)
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| q = self._separate_heads(q, self.num_heads)
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| k = self._separate_heads(k, self.num_heads)
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| v = self._separate_heads(v, self.num_heads)
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| _, _, _, c_per_head = q.shape
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| attn = q @ k.permute(0, 1, 3, 2)
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| attn = attn / math.sqrt(c_per_head)
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| attn = torch.softmax(attn, dim=-1)
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| out = attn @ v
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| out = self._recombine_heads(out)
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| out = self.out_proj(out)
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| return out
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