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import math
import torch
from torch import nn
from d2l import torch as d2l
实现类
#@save class MultiHeadAttention(nn.Module): """多头注意力""" def __init__(self, key_size, query_size, value_size, num_hiddens, num_heads, dropout, bias=False, **kwargs): super(MultiHeadAttention, self).__init__(**kwargs) self.num_heads = num_heads self.attention = d2l.DotProductAttention(dropout) self.W_q = nn.Linear(query_size, num_hiddens, bias=bias) self.W_k = nn.Linear(key_size, num_hiddens, bias=bias) self.W_v = nn.Linear(value_size, num_hiddens, bias=bias) # 多头的结果concat之后在做一个映射 self.W_o = nn.Linear(num_hiddens, num_hiddens, bias=bias) def forward(self, queries, keys, values, valid_lens): # queries,keys,values的形状: # (batch_size,查询或者“键-值”对的个数,num_hiddens) # valid_lens的形状: # (batch_size,)或(batch_size,查询的个数) # 经过变换后,输出的queries,keys,values 的形状: # (batch_size*num_heads,查询或者“键-值”对的个数,num_hiddens/num_heads) queries = transpose_qkv(self.W_q(queries), self.num_heads) keys = transpose_qkv(self.W_k(keys), self.num_heads) values = transpose_qkv(self.W_v(values), self.num_heads) if valid_lens is not None: # 在轴0,将第一项(标量或者矢量)复制num_heads次, # 然后如此复制第二项,然后诸如此类。 valid_lens = torch.repeat_interleave( valid_lens, repeats=self.num_heads, dim=0) # output的形状:(batch_size*num_heads,查询的个数,num_hiddens/num_heads) output = self.attention(queries, keys, values, valid_lens) # output_concat的形状:(batch_size,查询的个数,num_hiddens) output_concat = transpose_output(output, self.num_heads) return self.W_o(output_concat)
由于
多头
把一个词映射到很多个q,k,v,使用循环会降低计算效率,所以这里使用维度变换避免循环具体做法是,把batch_size和num_heads乘起来作为一个维度,这样就可以去做点积的Attention了,然后再把这两个维度拆开
transpose_qkv
和transpose_output
就是对矩阵做形状变换
#@save def transpose_qkv(X, num_heads): """为了多注意力头的并行计算而变换形状""" # 输入X的形状:(batch_size,查询或者“键-值”对的个数,num_hiddens) # 输出X的形状:(batch_size,查询或者“键-值”对的个数,num_heads, # num_hiddens/num_heads) X = X.reshape(X.shape[0], X.shape[1], num_heads, -1) # 输出X的形状:(batch_size,num_heads,查询或者“键-值”对的个数, # num_hiddens/num_heads) X = X.permute(0, 2, 1, 3) # 最终输出的形状:(batch_size*num_heads,查询或者“键-值”对的个数, # num_hiddens/num_heads) return X.reshape(-1, X.shape[2], X.shape[3]) #@save def transpose_output(X, num_heads): """逆转transpose_qkv函数的操作""" # 拆开batch_size和num_heads X = X.reshape(-1, num_heads, X.shape[1], X.shape[2]) X = X.permute(0, 2, 1, 3) return X.reshape(X.shape[0], X.shape[1], -1)
测试一下
num_hiddens, num_heads = 100, 5
attention = MultiHeadAttention(num_hiddens, num_hiddens, num_hiddens,
num_hiddens, num_heads, 0.5)
attention.eval()
输出
MultiHeadAttention(
(attention): DotProductAttention(
(dropout): Dropout(p=0.5, inplace=False)
)
(W_q): Linear(in_features=100, out_features=100, bias=False)
(W_k): Linear(in_features=100, out_features=100, bias=False)
(W_v): Linear(in_features=100, out_features=100, bias=False)
(W_o): Linear(in_features=100, out_features=100, bias=False)
)
batch_size, num_queries = 2, 4
num_kvpairs, valid_lens = 6, torch.tensor([3, 2])
X = torch.ones((batch_size, num_queries, num_hiddens))
Y = torch.ones((batch_size, num_kvpairs, num_hiddens))
attention(X, Y, Y, valid_lens).shape
torch.Size([2, 4, 100])
自注意力的输出和X(query)的形状一样
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