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计算公式
代码实现
class SelfAttention(nn.Module): def __init__(self, embed_size, heads): super(SelfAttention, self).__init__() self.embed_size = embed_size self.heads = heads self.head_dim = embed_size // heads assert (self.head_dim * heads == embed_size), "Embed size needs to be div by heads" self.values = nn.Linear(self.head_dim, self.head_dim, bias=False) self.keys = nn.Linear(self.head_dim, self.head_dim, bias=False) self.queries = nn.Linear(self.head_dim, self.head_dim, bias=False) self.fc_out = nn.Linear(heads*self.head_dim, embed_size) def forward(self, values, keys, query, mask): N = query.shape[0] # the number of training examples value_len, key_len, query_len = values.shape[1], keys.shape[1], query.shape[1] # Split embedding into self.heads pieces values = values.reshape(N, value_len, self.heads, self.head_dim) keys = keys.reshape(N, key_len, self.heads, self.head_dim) queries = query.reshape(N, query_len, self.heads, self.head_dim) values = self.values(values) keys = self.keys(keys) queries = self.queries(queries) energy = torch.einsum("nqhd,nkhd->nhqk", [queries, keys]) # 矩阵乘法,使用爱因斯坦标记法 # queries shape: (N, query_len, heads, heads_dim) # keys shape: (N, key_len, heads, heads_dim) # energy shape: (N, heads, query_len, key_len) if mask is not None: energy = energy.masked_fill(mask==0, float("-1e20")) #Fills elements of self tensor with value where mask is True attention = torch.softmax(energy / (self.embed_size ** (1/2)), dim=3) out = torch.einsum("nhql, nlhd->nqhd", [attention, values]).reshape( N, query_len, self.heads*self.head_dim ) # 矩阵乘法,使用爱因斯坦标记法einsum # attention shape: (N, heads, query_len, key_len) # values shape: (N, value_len, heads, head_dim) # after einsum (N, query_len, heads, head_dim) then flatten last two dimensions out = self.fc_out(out) return out
我们把Transfomer块定义为如下图所示的结构,这个Transformer块在编码器和解码器中都有出现过。
代码实现
class TransformerBlock(nn.Module): def __init__(self, embed_size, heads, dropout, forward_expansion): super(TransformerBlock, self).__init__() self.attention = SelfAttention(embed_size, heads) self.norm1 = nn.LayerNorm(embed_size) self.norm2 = nn.LayerNorm(embed_size) self.feed_forward = nn.Sequential( nn.Linear(embed_size, forward_expansion*embed_size), nn.ReLU(), nn.Linear(forward_expansion*embed_size, embed_size) ) self.dropout = nn.Dropout(dropout) def forward(self, value, key, query, mask): attention = self.attention(value, key, query, mask) x = self.dropout(self.norm1(attention + query)) forward = self.feed_forward(x) out = self.dropout(self.norm2(forward + x)) return out
编码器结构如下所示,Inputs经过Input Embedding 和Positional Encoding之后,通过多个Transformer块
代码实现
class Encoder(nn.Module): def __init__(self, src_vocab_size, embed_size, num_layers, heads, device, forward_expansion, dropout, max_length ): super(Encoder, self).__init__() self.embed_size = embed_size self.device = device self.word_embedding = nn.Embedding(src_vocab_size, embed_size) self.position_embedding = nn.Embedding(max_length, embed_size) self.layers = nn.ModuleList( [ TransformerBlock( embed_size, heads, dropout=dropout, forward_expansion=forward_expansion ) for _ in range(num_layers)] ) self.dropout = nn.Dropout(dropout) def forward(self, x, mask): N, seq_lengh = x.shape positions = torch.arange(0, seq_lengh).expand(N, seq_lengh).to(self.device) out = self.dropout(self.word_embedding(x) + self.position_embedding(positions)) for layer in self.layers: out = layer(out, out, out, mask) return out
解码器块结构如下图所示
代码实现
class DecoderBlock(nn.Module):
def __init__(self, embed_size, heads, forward_expansion, dropout, device):
super(DecoderBlock, self).__init__()
self.attention = SelfAttention(embed_size, heads)
self.norm = nn.LayerNorm(embed_size)
self.transformer_block = TransformerBlock(embed_size, heads, dropout, forward_expansion)
self.dropout = nn.Dropout(dropout)
def forward(self, x, value, key, src_mask, trg_mask):
attention = self.attention(x, x, x, trg_mask)
query = self.dropout(self.norm(attention + x))
out = self.transformer_block(value, key, query, src_mask)
return out
解码器块加上word embedding 和 positional embedding之后构成解码器
代码实现
class Decoder(nn.Module): def __init__(self, trg_vocab_size, embed_size, num_layers, heads, forward_expansion, dropout, device, max_length): super(Decoder, self).__init__() self.device = device self.word_embedding = nn.Embedding(trg_vocab_size, embed_size) self.position_embedding = nn.Embedding(max_length, embed_size) self.layers = nn.ModuleList( [DecoderBlock(embed_size, heads, forward_expansion, dropout, device) for _ in range(num_layers)] ) self.fc_out = nn.Linear(embed_size, trg_vocab_size) self.dropout = nn.Dropout(dropout) def forward(self, x, enc_out, src_mask, trg_mask): N, seq_length = x.shape positions = torch.arange(0, seq_length).expand(N, seq_length).to(self.device) x = self.dropout((self.word_embedding(x) + self.position_embedding(positions))) for layer in self.layers: x = layer(x, enc_out, enc_out, src_mask, trg_mask) out = self.fc_out(x) return out
代码实现
class Transformer(nn.Module): def __init__(self, src_vocab_size, trg_vocab_size, src_pad_idx, trg_pad_idx, embed_size=256, num_layers=6, forward_expansion=4, heads=8, dropout=0, device="cuda", max_length=100 ): super(Transformer, self).__init__() self.encoder = Encoder( src_vocab_size, embed_size, num_layers, heads, device, forward_expansion, dropout, max_length ) self.decoder = Decoder( trg_vocab_size, embed_size, num_layers, heads, forward_expansion, dropout, device, max_length ) self.src_pad_idx = src_pad_idx self.trg_pad_idx = trg_pad_idx self.device = device def make_src_mask(self, src): src_mask = (src != self.src_pad_idx).unsqueeze(1).unsqueeze(2) #(N, 1, 1, src_len) return src_mask.to(self.device) def make_trg_mask(self, trg): N, trg_len = trg.shape trg_mask = torch.tril(torch.ones((trg_len, trg_len))).expand( N, 1, trg_len, trg_len ) return trg_mask.to(self.device) def forward(self, src, trg): src_mask = self.make_src_mask(src) trg_mask = self.make_trg_mask(trg) enc_src = self.encoder(src, src_mask) out = self.decoder(trg, enc_src, src_mask, trg_mask) return out
[1] https://www.youtube.com/watch?v=U0s0f995w14
[2] https://github.com/aladdinpersson/Machine-Learning-Collection/blob/master/ML/Pytorch/more_advanced/transformer_from_scratch/transformer_from_scratch.py
[3] https://arxiv.org/abs/1706.03762
[4] https://www.youtube.com/watch?v=pkVwUVEHmfI
import torch import torch.nn as nn class SelfAttention(nn.Module): def __init__(self, embed_size, heads): super(SelfAttention, self).__init__() self.embed_size = embed_size self.heads = heads self.head_dim = embed_size // heads assert (self.head_dim * heads == embed_size), "Embed size needs to be div by heads" self.values = nn.Linear(self.head_dim, self.head_dim, bias=False) self.keys = nn.Linear(self.head_dim, self.head_dim, bias=False) self.queries = nn.Linear(self.head_dim, self.head_dim, bias=False) self.fc_out = nn.Linear(heads*self.head_dim, embed_size) def forward(self, values, keys, query, mask): N = query.shape[0] # the number of training examples value_len, key_len, query_len = values.shape[1], keys.shape[1], query.shape[1] # Split embedding into self.heads pieces values = values.reshape(N, value_len, self.heads, self.head_dim) keys = keys.reshape(N, key_len, self.heads, self.head_dim) queries = query.reshape(N, query_len, self.heads, self.head_dim) values = self.values(values) keys = self.keys(keys) queries = self.queries(queries) energy = torch.einsum("nqhd,nkhd->nhqk", [queries, keys]) # queries shape: (N, query_len, heads, heads_dim) # keys shape: (N, key_len, heads, heads_dim) # energy shape: (N, heads, query_len, key_len) if mask is not None: energy = energy.masked_fill(mask==0, float("-1e20")) #Fills elements of self tensor with value where mask is True attention = torch.softmax(energy / (self.embed_size ** (1/2)), dim=3) out = torch.einsum("nhql, nlhd->nqhd", [attention, values]).reshape( N, query_len, self.heads*self.head_dim ) # attention shape: (N, heads, query_len, key_len) # values shape: (N, value_len, heads, head_dim) # after einsum (N, query_len, heads, head_dim) then flatten last two dimensions out = self.fc_out(out) return out class TransformerBlock(nn.Module): def __init__(self, embed_size, heads, dropout, forward_expansion): super(TransformerBlock, self).__init__() self.attention = SelfAttention(embed_size, heads) self.norm1 = nn.LayerNorm(embed_size) self.norm2 = nn.LayerNorm(embed_size) self.feed_forward = nn.Sequential( nn.Linear(embed_size, forward_expansion*embed_size), nn.ReLU(), nn.Linear(forward_expansion*embed_size, embed_size) ) self.dropout = nn.Dropout(dropout) def forward(self, value, key, query, mask): attention = self.attention(value, key, query, mask) x = self.dropout(self.norm1(attention + query)) forward = self.feed_forward(x) out = self.dropout(self.norm2(forward + x)) return out class Encoder(nn.Module): def __init__(self, src_vocab_size, embed_size, num_layers, heads, device, forward_expansion, dropout, max_length ): super(Encoder, self).__init__() self.embed_size = embed_size self.device = device self.word_embedding = nn.Embedding(src_vocab_size, embed_size) self.position_embedding = nn.Embedding(max_length, embed_size) self.layers = nn.ModuleList( [ TransformerBlock( embed_size, heads, dropout=dropout, forward_expansion=forward_expansion ) for _ in range(num_layers)] ) self.dropout = nn.Dropout(dropout) def forward(self, x, mask): N, seq_lengh = x.shape positions = torch.arange(0, seq_lengh).expand(N, seq_lengh).to(self.device) out = self.dropout(self.word_embedding(x) + self.position_embedding(positions)) for layer in self.layers: out = layer(out, out, out, mask) return out class DecoderBlock(nn.Module): def __init__(self, embed_size, heads, forward_expansion, dropout, device): super(DecoderBlock, self).__init__() self.attention = SelfAttention(embed_size, heads) self.norm = nn.LayerNorm(embed_size) self.transformer_block = TransformerBlock(embed_size, heads, dropout, forward_expansion) self.dropout = nn.Dropout(dropout) def forward(self, x, value, key, src_mask, trg_mask): attention = self.attention(x, x, x, trg_mask) query = self.dropout(self.norm(attention + x)) out = self.transformer_block(value, key, query, src_mask) return out class Decoder(nn.Module): def __init__(self, trg_vocab_size, embed_size, num_layers, heads, forward_expansion, dropout, device, max_length): super(Decoder, self).__init__() self.device = device self.word_embedding = nn.Embedding(trg_vocab_size, embed_size) self.position_embedding = nn.Embedding(max_length, embed_size) self.layers = nn.ModuleList( [DecoderBlock(embed_size, heads, forward_expansion, dropout, device) for _ in range(num_layers)] ) self.fc_out = nn.Linear(embed_size, trg_vocab_size) self.dropout = nn.Dropout(dropout) def forward(self, x, enc_out, src_mask, trg_mask): N, seq_length = x.shape positions = torch.arange(0, seq_length).expand(N, seq_length).to(self.device) x = self.dropout((self.word_embedding(x) + self.position_embedding(positions))) for layer in self.layers: x = layer(x, enc_out, enc_out, src_mask, trg_mask) out = self.fc_out(x) return out class Transformer(nn.Module): def __init__(self, src_vocab_size, trg_vocab_size, src_pad_idx, trg_pad_idx, embed_size=256, num_layers=6, forward_expansion=4, heads=8, dropout=0, device="cuda", max_length=100 ): super(Transformer, self).__init__() self.encoder = Encoder( src_vocab_size, embed_size, num_layers, heads, device, forward_expansion, dropout, max_length ) self.decoder = Decoder( trg_vocab_size, embed_size, num_layers, heads, forward_expansion, dropout, device, max_length ) self.src_pad_idx = src_pad_idx self.trg_pad_idx = trg_pad_idx self.device = device def make_src_mask(self, src): src_mask = (src != self.src_pad_idx).unsqueeze(1).unsqueeze(2) #(N, 1, 1, src_len) return src_mask.to(self.device) def make_trg_mask(self, trg): N, trg_len = trg.shape trg_mask = torch.tril(torch.ones((trg_len, trg_len))).expand( N, 1, trg_len, trg_len ) return trg_mask.to(self.device) def forward(self, src, trg): src_mask = self.make_src_mask(src) trg_mask = self.make_trg_mask(trg) enc_src = self.encoder(src, src_mask) out = self.decoder(trg, enc_src, src_mask, trg_mask) return out if __name__ == "__main__": device = torch.device("cuda" if torch.cuda.is_available() else "cpu") print(device) x = torch.tensor([[1, 5, 6, 4, 3, 9, 5, 2, 0], [1, 8, 7, 3, 4, 5, 6, 7, 2]]).to( device ) trg = torch.tensor([[1, 7, 4, 3, 5, 9, 2, 0], [1, 5, 6, 2, 4, 7, 6, 2]]).to(device) src_pad_idx = 0 trg_pad_idx = 0 src_vocab_size = 10 trg_vocab_size = 10 model = Transformer(src_vocab_size, trg_vocab_size, src_pad_idx, trg_pad_idx, device=device).to(device) out = model(x, trg[:, :-1]) print(out.shape)
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