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Transformer模型用于2048游戏决策
"""
import torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
from typing import Tuple
class Game2048Transformer(nn.Module):
"""
小型Transformer模型用于2048游戏
输入:
- 棋盘状态 (batch, 4, 4) 或 (batch, 16)
- 可选: 分数特征 (batch, 2)
输出:
- policy: (batch, 4) 动作概率
- value: (batch, 1) 状态价值
"""
def __init__(
self,
d_model: int = 64,
nhead: int = 4,
num_layers: int = 2,
dim_feedforward: int = 128,
dropout: float = 0.1
):
super().__init__()
self.d_model = d_model
# 棋盘位置embedding
# 每个格子: 0表示空,1-15表示log2(value)
self.position_embedding = nn.Embedding(16, d_model)
# 空间位置编码(4x4棋盘的行列位置)
self.row_embedding = nn.Embedding(4, d_model // 2)
self.col_embedding = nn.Embedding(4, d_model // 2)
# 分数特征embedding
self.score_embedding = nn.Linear(2, d_model)
# Transformer编码器
encoder_layer = nn.TransformerEncoderLayer(
d_model=d_model,
nhead=nhead,
dim_feedforward=dim_feedforward,
dropout=dropout,
batch_first=True,
activation='gelu'
)
self.transformer = nn.TransformerEncoder(encoder_layer, num_layers=num_layers)
# 策略头(输出4个动作的概率)
self.policy_head = nn.Sequential(
nn.Linear(d_model, d_model),
nn.GELU(),
nn.Linear(d_model, 4)
)
# 价值头(输出状态价值)
self.value_head = nn.Sequential(
nn.Linear(d_model, d_model),
nn.GELU(),
nn.Linear(d_model, 1),
nn.Tanh()
)
# 初始化权重
self._init_weights()
def _init_weights(self):
"""初始化权重"""
for module in self.modules():
if isinstance(module, nn.Linear):
nn.init.xavier_uniform_(module.weight)
if module.bias is not None:
nn.init.zeros_(module.bias)
elif isinstance(module, nn.Embedding):
nn.init.normal_(module.weight, mean=0, std=0.02)
def forward(
self,
board: torch.Tensor,
scores: torch.Tensor = None,
mask: torch.Tensor = None
) -> Tuple[torch.Tensor, torch.Tensor]:
"""
前向传播
Args:
board: (batch, 4, 4) 或 (batch, 16) 棋盘状态,值为log2(value)
scores: (batch, 2) 可选的分数特征 [累积分数, 局面分数]
mask: (batch, 4) 可选的动作mask,True表示有效动作
Returns:
policy: (batch, 4) 动作logits
value: (batch, 1) 状态价值
"""
batch_size = board.shape[0]
# 展平棋盘
if board.dim() == 3:
board_flat = board.view(batch_size, -1) # (batch, 16)
else:
board_flat = board
# 将棋盘值转换为embedding索引(clamp到有效范围)
board_indices = torch.clamp(board_flat.long(), 0, 15)
# 位置embedding
pos_embeddings = self.position_embedding(board_indices) # (batch, 16, d_model)
# 添加空间位置编码
row_indices = torch.arange(4, device=board.device).repeat(4)
col_indices = torch.arange(4, device=board.device).repeat_interleave(4)
row_emb = self.row_embedding(row_indices) # (16, d_model//2)
col_emb = self.col_embedding(col_indices) # (16, d_model//2)
spatial_emb = torch.cat([row_emb, col_emb], dim=-1) # (16, d_model)
# 合并embedding
x = pos_embeddings + spatial_emb.unsqueeze(0) # (batch, 16, d_model)
# 如果提供分数特征,作为第17个token
if scores is not None:
score_emb = self.score_embedding(scores).unsqueeze(1) # (batch, 1, d_model)
x = torch.cat([x, score_emb], dim=1) # (batch, 17, d_model)
# Transformer编码
x = self.transformer(x) # (batch, 17 or 16, d_model)
# 全局池化
x = x.mean(dim=1) # (batch, d_model)
# 输出头
policy_logits = self.policy_head(x) # (batch, 4)
value = self.value_head(x) # (batch, 1)
# 应用动作mask
if mask is not None:
# 无效动作设为很小的值
policy_logits = policy_logits.masked_fill(~mask, -1e9)
return policy_logits, value
def get_action(
self,
board: torch.Tensor,
scores: torch.Tensor = None,
mask: torch.Tensor = None,
deterministic: bool = False
) -> Tuple[int, torch.Tensor, torch.Tensor]:
"""
选择动作
Args:
board: (1, 4, 4) 或 (4, 4) 棋盘状态
scores: (1, 2) 或 (2,) 分数特征
mask: (1, 4) 或 (4,) 动作mask
deterministic: 是否确定性选择
Returns:
action: 选择的动作
log_prob: 动作的log概率
value: 状态价值
"""
# 确保维度正确
if board.dim() == 2:
board = board.unsqueeze(0)
if scores is not None and scores.dim() == 1:
scores = scores.unsqueeze(0)
if mask is not None and mask.dim() == 1:
mask = mask.unsqueeze(0)
with torch.no_grad():
policy_logits, value = self.forward(board, scores, mask)
probs = F.softmax(policy_logits, dim=-1)
if deterministic:
action = torch.argmax(probs, dim=-1).item()
else:
# 从概率分布采样
dist = torch.distributions.Categorical(probs)
action = dist.sample().item()
log_prob = F.log_softmax(policy_logits, dim=-1)[0, action].item()
return action, log_prob, value.item()
def evaluate_actions(
self,
board: torch.Tensor,
actions: torch.Tensor,
scores: torch.Tensor = None,
mask: torch.Tensor = None
) -> Tuple[torch.Tensor, torch.Tensor, torch.Tensor]:
"""
评估动作(用于训练)
Args:
board: (batch, 4, 4) 棋盘状态
actions: (batch,) 采取的动作
scores: (batch, 2) 分数特征
mask: (batch, 4) 动作mask
Returns:
log_probs: (batch,) 动作log概率
values: (batch, 1) 状态价值
entropy: (batch,) 策略熵
"""
policy_logits, values = self.forward(board, scores, mask)
probs = F.softmax(policy_logits, dim=-1)
log_probs = F.log_softmax(policy_logits, dim=-1)
# 选择动作的log概率
action_log_probs = log_probs.gather(1, actions.unsqueeze(1)).squeeze(1)
# 计算熵
entropy = -(probs * log_probs).sum(dim=-1)
return action_log_probs, values, entropy
class ResidualBlock(nn.Module):
"""残差块"""
def __init__(self, channels: int):
super().__init__()
self.conv1 = nn.Conv2d(channels, channels, kernel_size=3, padding=1)
self.conv2 = nn.Conv2d(channels, channels, kernel_size=3, padding=1)
self.bn1 = nn.BatchNorm2d(channels)
self.bn2 = nn.BatchNorm2d(channels)
def forward(self, x: torch.Tensor) -> torch.Tensor:
residual = x
x = F.relu(self.bn1(self.conv1(x)))
x = self.bn2(self.conv2(x))
return F.relu(x + residual)
class Game2048CNN(nn.Module):
"""
CNN版本的2048模型(作为备选)
更简单,可能更快
"""
def __init__(self, channels: int = 64):
super().__init__()
# 输入: (batch, 1, 4, 4)
self.conv1 = nn.Conv2d(1, channels, kernel_size=3, padding=1)
self.conv2 = nn.Conv2d(channels, channels, kernel_size=3, padding=1)
self.conv3 = nn.Conv2d(channels, channels, kernel_size=3, padding=1)
# 分数处理
self.score_fc = nn.Linear(2, channels)
# 输出头
self.policy_head = nn.Sequential(
nn.Linear(channels * 16 + channels, 256),
nn.ReLU(),
nn.Linear(256, 4)
)
self.value_head = nn.Sequential(
nn.Linear(channels * 16 + channels, 256),
nn.ReLU(),
nn.Linear(256, 1),
nn.Tanh()
)
def forward(
self,
board: torch.Tensor,
scores: torch.Tensor = None,
mask: torch.Tensor = None
) -> Tuple[torch.Tensor, torch.Tensor]:
"""前向传播"""
# 添加channel维度
x = board.unsqueeze(1) # (batch, 1, 4, 4)
# CNN特征提取
x = F.relu(self.conv1(x))
x = F.relu(self.conv2(x))
x = F.relu(self.conv3(x))
# 展平
x = x.view(x.size(0), -1) # (batch, channels*16)
# 合并分数
if scores is not None:
score_feat = F.relu(self.score_fc(scores))
x = torch.cat([x, score_feat], dim=-1)
else:
x = torch.cat([x, torch.zeros(x.size(0), 64, device=x.device)], dim=-1)
# 输出
policy_logits = self.policy_head(x)
value = self.value_head(x)
if mask is not None:
policy_logits = policy_logits.masked_fill(~mask, -1e9)
return policy_logits, value
def count_parameters(model: nn.Module) -> int:
"""计算模型参数数量"""
return sum(p.numel() for p in model.parameters() if p.requires_grad)
if __name__ == "__main__":
# 测试模型
device = torch.device("cpu")
# Transformer模型
model = Game2048Transformer().to(device)
print(f"Transformer参数量: {count_parameters(model):,}")
# 测试前向传播
batch_size = 4
board = torch.randint(0, 12, (batch_size, 4, 4), dtype=torch.float32).to(device)
scores = torch.rand(batch_size, 2).to(device)
mask = torch.ones(batch_size, 4, dtype=torch.bool).to(device)
policy_logits, value = model(board, scores, mask)
print(f"Policy logits shape: {policy_logits.shape}")
print(f"Value shape: {value.shape}")
# 测试动作选择
action, log_prob, val = model.get_action(board[0], scores[0], mask[0])
print(f"Action: {action}, Log prob: {log_prob:.4f}, Value: {val:.4f}")
# CNN模型
cnn_model = Game2048CNN().to(device)
print(f"\nCNN参数量: {count_parameters(cnn_model):,}")
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