要实现类似C++多线程AlphaZero的五子棋算法,核心是结合蒙特卡洛树搜索(MCTS)与神经网络,并用Python的多线程来并行化模拟。下面是一个简化但完整的示例,展示了关键部分:
import numpy as np
import threading
from queue import Queue
from collections import defaultdict
import random
class Node:
def __init__(self, state, parent=None, prior=1.0):
self.state = state
self.parent = parent
self.children = {}
self.visit_count = 0
self.value_sum = 0
self.prior = prior
def expanded(self):
return len(self.children) > 0
def value(self):
if self.visit_count == 0:
return 0
return self.value_sum / self.visit_count
class MCTS:
def __init__(self, neural_net, num_simulations=800, num_threads=4):
self.neural_net = neural_net
self.num_simulations = num_simulations
self.num_threads = num_threads
def run(self, root_state):
root = Node(root_state)
# 并行执行模拟
threads = []
results = Queue()
for _ in range(self.num_threads):
t = threading.Thread(target=self._parallel_simulate,
args=(root, results))
t.start()
threads.append(t)
for t in threads:
t.join()
# 选择最佳动作
return self._select_action(root)
def _parallel_simulate(self, root, results):
for _ in range(self.num_simulations // self.num_threads):
node = root
search_path = [node]
# 选择
while node.expanded():
action, node = self._select_child(node)
search_path.append(node)
# 扩展和评估
if not self._is_terminal(node.state):
policy, value = self.neural_net.predict(node.state)
self._expand_node(node, policy)
else:
value = self._get_terminal_value(node.state)
# 回溯
self._backpropagate(search_path, value)
def _select_child(self, node):
# UCB公式
total_n = sum(child.visit_count for child in node.children.values())
log_n = np.log(total_n + 1)
best_score = -float('inf')
best_action = None
best_child = None
for action, child in node.children.items():
ucb_score = child.value() + child.prior * np.sqrt(log_n / (child.visit_count + 1))
if ucb_score > best_score:
best_score = ucb_score
best_action = action
best_child = child
return best_action, best_child
def _expand_node(self, node, policy):
for action, prob in enumerate(policy):
if prob > 0: # 合法动作
new_state = self._apply_action(node.state, action)
node.children[action] = Node(new_state, parent=node, prior=prob)
def _backpropagate(self, search_path, value):
for node in reversed(search_path):
node.visit_count += 1
node.value_sum += value
value = -value # 对手视角
def _select_action(self, node):
# 根据访问次数选择动作
visits = [(action, child.visit_count)
for action, child in node.children.items()]
action = max(visits, key=lambda x: x[1])[0]
return action
# 简化的神经网络包装类
class DummyNeuralNet:
def predict(self, state):
# 实际应用中这里应该是真正的神经网络推理
legal_moves = self._get_legal_moves(state)
policy = np.zeros(225) # 15x15棋盘
for move in legal_moves:
policy[move] = random.random()
policy = policy / policy.sum()
value = random.uniform(-1, 1)
return policy, value
def _get_legal_moves(self, state):
# 返回合法位置列表
return list(range(225))
# 使用示例
if __name__ == "__main__":
# 初始化
neural_net = DummyNeuralNet()
mcts = MCTS(neural_net, num_simulations=800, num_threads=4)
# 运行MCTS
initial_state = np.zeros((15, 15)) # 空棋盘
best_action = mcts.run(initial_state)
print(f"最佳落子位置: {best_action // 15}, {best_action % 15}")
关键点:
- Node类:表示搜索树节点,存储状态、访问次数、价值总和等
- MCTS类:核心算法,包含选择、扩展、模拟、回溯四个阶段
- 多线程:通过
threading.Thread并行执行模拟,加速搜索过程
- 神经网络集成:
neural_net.predict()提供策略和价值评估
实际实现时需要注意:
- 用
concurrent.futures.ThreadPoolExecutor可能比直接使用threading更简洁
- 棋盘状态表示可以用3个15x15矩阵(黑子、白子、空位)
- 真正的神经网络需要训练,包含残差块、策略头、价值头
用Python的threading搞并行MCTS搜索就行。