Transformer架构详解 - 注意力机制革命
深入理解Transformer架构,掌握自注意力机制原理与实现
本文重点:理解Transformer核心原理,掌握注意力机制
一、Transformer概述
1.1 为什么需要Transformer
RNN/LSTM的问题:
- 顺序计算:无法并行
- 长距离依赖:信息衰减
- 梯度问题:难以训练深层网络 Transformer的优势:
- 完全并行:所有位置同时计算
- 全局依赖:任意位置直接连接
- 可扩展:支持更大模型和数据
1.2 架构概览
Transformer架构:
┌─────────────────────────────┐
│ Output Layer │
├─────────────────────────────┤
│ Decoder (Nx layers) │
│ ├── Masked Self-Attention │
│ ├── Cross-Attention │
│ └── Feed Forward │
├─────────────────────────────┤
│ Encoder (Nx layers) │
│ ├── Self-Attention │
│ └── Feed Forward │
├─────────────────────────────┤
│ Input Embedding + PE │
└─────────────────────────────┘
二、注意力机制
2.1 Scaled Dot-Product Attention
import torch
import torch.nn as nn
import torch.nn.functional as F
import math
def scaled_dot_product_attention(Q, K, V, mask=None):
"""
Scaled Dot-Product Attention
Attention(Q, K, V) = softmax(QK^T / sqrt(d_k)) * V
Args:
Q: (batch, heads, seq_len, d_k)
K: (batch, heads, seq_len, d_k)
V: (batch, heads, seq_len, d_v)
mask: 可选的mask
"""
d_k = Q.size(-1)
# 计算注意力分数
scores = torch.matmul(Q, K.transpose(-2, -1)) / math.sqrt(d_k)
# 应用mask (用于decoder)
if mask is not None:
scores = scores.masked_fill(mask == 0, -1e9)
# Softmax归一化
attention_weights = F.softmax(scores, dim=-1)
# 加权求和
output = torch.matmul(attention_weights, V)
return output, attention_weights
# 演示
batch_size, heads, seq_len, d_k = 2, 8, 10, 64
Q = torch.randn(batch_size, heads, seq_len, d_k)
K = torch.randn(batch_size, heads, seq_len, d_k)
V = torch.randn(batch_size, heads, seq_len, d_k)
output, weights = scaled_dot_product_attention(Q, K, V)
print(f"输出形状: {output.shape}") # (2, 8, 10, 64)
print(f"注意力权重形状: {weights.shape}") # (2, 8, 10, 10)
2.2 Multi-Head Attention
class MultiHeadAttention(nn.Module):
"""多头注意力机制"""
def __init__(self, d_model, num_heads):
super(MultiHeadAttention, self).__init__()
assert d_model % num_heads == 0
self.d_model = d_model
self.num_heads = num_heads
self.d_k = d_model // num_heads
# Q, K, V 线性层
self.W_q = nn.Linear(d_model, d_model)
self.W_k = nn.Linear(d_model, d_model)
self.W_v = nn.Linear(d_model, d_model)
# 输出线性层
self.W_o = nn.Linear(d_model, d_model)
def forward(self, x, mask=None):
batch_size = x.size(0)
# 线性变换
Q = self.W_q(x) # (batch, seq, d_model)
K = self.W_k(x)
V = self.W_v(x)
# 分割为多头
Q = Q.view(batch_size, -1, self.num_heads, self.d_k).transpose(1, 2)
K = K.view(batch_size, -1, self.num_heads, self.d_k).transpose(1, 2)
V = V.view(batch_size, -1, self.num_heads, self.d_k).transpose(1, 2)
# 注意力计算
attn_output, _ = scaled_dot_product_attention(Q, K, V, mask)
# 合并多头
attn_output = attn_output.transpose(1, 2).contiguous()
attn_output = attn_output.view(batch_size, -1, self.d_model)
# 输出投影
output = self.W_o(attn_output)
return output
# 测试
d_model, num_heads = 512, 8
mha = MultiHeadAttention(d_model, num_heads)
x = torch.randn(2, 10, d_model)
output = mha(x)
print(f"多头注意力输出形状: {output.shape}")
2.3 位置编码
class PositionalEncoding(nn.Module):
"""位置编码"""
def __init__(self, d_model, max_len=5000):
super(PositionalEncoding, self).__init__()
# 创建位置编码矩阵
pe = torch.zeros(max_len, d_model)
position = torch.arange(0, max_len, dtype=torch.float).unsqueeze(1)
# 计算sin/cos
div_term = torch.exp(
torch.arange(0, d_model, 2).float() * (-math.log(10000.0) / d_model)
)
pe[:, 0::2] = torch.sin(position * div_term)
pe[:, 1::2] = torch.cos(position * div_term)
pe = pe.unsqueeze(0) # (1, max_len, d_model)
self.register_buffer('pe', pe)
def forward(self, x):
# x: (batch, seq_len, d_model)
x = x + self.pe[:, :x.size(1), :]
return x
# 可视化位置编码
import matplotlib.pyplot as plt
pe = PositionalEncoding(128, max_len=100)
plt.figure(figsize=(12, 6))
plt.imshow(pe.pe[0, :, :].numpy().T, aspect='auto', cmap='viridis')
plt.xlabel('Position')
plt.ylabel('Dimension')
plt.title('Positional Encoding Visualization')
plt.colorbar()
plt.savefig('positional_encoding.png', dpi=100, bbox_inches='tight')
plt.close()
三、Transformer实现
3.1 Feed Forward Network
class PositionwiseFeedForward(nn.Module):
"""前馈网络"""
def __init__(self, d_model, d_ff, dropout=0.1):
super(PositionwiseFeedForward, self).__init__()
self.fc1 = nn.Linear(d_model, d_ff)
self.fc2 = nn.Linear(d_ff, d_model)
self.dropout = nn.Dropout(dropout)
self.relu = nn.ReLU()
def forward(self, x):
x = self.fc1(x)
x = self.relu(x)
x = self.dropout(x)
x = self.fc2(x)
return x
3.2 Encoder Layer
class EncoderLayer(nn.Module):
"""Transformer编码器层"""
def __init__(self, d_model, num_heads, d_ff, dropout=0.1):
super(EncoderLayer, self).__init__()
self.self_attn = MultiHeadAttention(d_model, num_heads)
self.ffn = PositionwiseFeedForward(d_model, d_ff, dropout)
self.norm1 = nn.LayerNorm(d_model)
self.norm2 = nn.LayerNorm(d_model)
self.dropout = nn.Dropout(dropout)
def forward(self, x, mask=None):
# 自注意力 + 残差连接 + LayerNorm
attn_out = self.self_attn(x, mask)
x = self.norm1(x + self.dropout(attn_out))
# FFN + 残差连接 + LayerNorm
ffn_out = self.ffn(x)
x = self.norm2(x + self.dropout(ffn_out))
return x
3.3 完整Transformer
class TransformerEncoder(nn.Module):
"""Transformer编码器"""
def __init__(self, vocab_size, d_model, num_heads, d_ff, num_layers, num_classes, dropout=0.1):
super(TransformerEncoder, self).__init__()
self.embedding = nn.Embedding(vocab_size, d_model)
self.pos_encoding = PositionalEncoding(d_model)
self.layers = nn.ModuleList([
EncoderLayer(d_model, num_heads, d_ff, dropout)
for _ in range(num_layers)
])
self.fc = nn.Linear(d_model, num_classes)
self.dropout = nn.Dropout(dropout)
def forward(self, x, mask=None):
# 词嵌入 + 位置编码
x = self.embedding(x)
x = self.pos_encoding(x)
x = self.dropout(x)
# 编码器层
for layer in self.layers:
x = layer(x, mask)
# 分类 (取第一个token或平均)
x = x.mean(dim=1) # 或 x[:, 0, :] 使用[CLS]
x = self.fc(x)
return x
# 创建模型
model = TransformerEncoder(
vocab_size=10000,
d_model=256,
num_heads=8,
d_ff=1024,
num_layers=4,
num_classes=2
)
print("Transformer编码器:")
print(model)
# 参数量
total_params = sum(p.numel() for p in model.parameters())
print(f"\n参数量: {total_params:,}")
四、注意力可视化
def visualize_attention(attention_weights, tokens=None):
"""可视化注意力权重"""
import seaborn as sns
# 取第一个样本的第一个头
weights = attention_weights[0, 0].detach().numpy()
plt.figure(figsize=(10, 8))
sns.heatmap(weights, cmap='Blues', annot=True, fmt='.2f')
if tokens:
plt.xticks(range(len(tokens)), tokens, rotation=45)
plt.yticks(range(len(tokens)), tokens, rotation=0)
plt.xlabel('Key')
plt.ylabel('Query')
plt.title('Self-Attention Weights')
plt.tight_layout()
plt.savefig('attention_visualization.png', dpi=100, bbox_inches='tight')
plt.close()
# 示例
tokens = ['The', 'cat', 'sat', 'on', 'the', 'mat']
seq_len = len(tokens)
d_model = 64
# 模拟注意力权重
attention = F.softmax(torch.randn(1, 8, seq_len, seq_len), dim=-1)
visualize_attention(attention, tokens)
参考资源
- Attention Is All You Need - Transformer原始论文
- The Annotated Transformer - 论文逐行解析
- Transformer可视化解释 - Jay Alammar博客
- BERT论文 - BERT: Pre-training of Deep Bidirectional Transformers
- GPT论文 - GPT-2论文
- Hugging Face Transformers - 预训练模型库
- The Illustrated BERT - BERT可视化
- Annotated BERT - BERT PyTorch实现
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