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import numpy as np
import math
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import time
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c_puct = 5
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class MCTSNode(object):
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def __init__(self, parent, action, state, action_num, prior):
self.parent = parent
self.action = action
self.children = {}
self.state = state
self.action_num = action_num
self.prior = prior
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def selection(self, simulator):
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raise NotImplementedError("Need to implement function selection")
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def backpropagation(self, action):
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raise NotImplementedError("Need to implement function backpropagation")
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def simulation(self, state, evaluator):
raise NotImplementedError("Need to implement function simulation")
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class UCTNode(MCTSNode):
def __init__(self, parent, action, state, action_num, prior):
super(UCTNode, self).__init__(parent, action, state, action_num, prior)
self.Q = np.zeros([action_num])
self.W = np.zeros([action_num])
self.N = np.zeros([action_num])
self.ucb = self.Q + c_puct * self.prior * math.sqrt(np.sum(self.N)) / (self.N + 1)
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def selection(self, simulator):
action = np.argmax(self.ucb)
if action in self.children.keys():
return self.children[action].selection(simulator)
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else:
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self.children[action] = ActionNode(self, action)
return self.children[action].selection(simulator)
def backpropagation(self, action):
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action = int(action)
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self.N[action] += 1
self.W[action] += self.children[action].reward
for i in range(self.action_num):
if self.N[i] != 0:
self.Q[i] = (self.W[i] + 0.) / self.N[i]
self.ucb = self.Q + c_puct * self.prior * math.sqrt(np.sum(self.N)) / (self.N + 1.)
if self.parent is not None:
self.parent.backpropagation(self.children[action].reward)
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def simulation(self, evaluator, state):
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value = evaluator(state)
return value
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class TSNode(MCTSNode):
def __init__(self, parent, action, state, action_num, prior, method="Gaussian"):
super(TSNode, self).__init__(parent, action, state, action_num, prior)
if method == "Beta":
self.alpha = np.ones([action_num])
self.beta = np.ones([action_num])
if method == "Gaussian":
self.mu = np.zeros([action_num])
self.sigma = np.zeros([action_num])
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class ActionNode:
def __init__(self, parent, action):
self.parent = parent
self.action = action
self.children = {}
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self.next_state = None
self.reward = 0
def selection(self, simulator):
self.next_state, self.reward = simulator.step_forward(self.parent.state, self.action)
if self.next_state is not None:
if self.next_state in self.children.keys():
return self.children[self.next_state].selection(simulator)
else:
return self.parent, self.action
else:
return self.parent, self.action
def expansion(self, action_num):
# TODO: Let users/evaluator give the prior
if self.next_state is not None:
prior = np.ones([action_num]) / action_num
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self.children[self.next_state] = UCTNode(self, self.action, self.next_state, action_num, prior)
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return True
else:
return False
def backpropagation(self, value):
self.reward += value
self.parent.backpropagation(self.action)
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class MCTS:
def __init__(self, simulator, evaluator, root, action_num, prior, method="UCT", max_step=None, max_time=None):
self.simulator = simulator
self.evaluator = evaluator
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self.action_num = action_num
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if method == "UCT":
self.root = UCTNode(None, None, root, action_num, prior)
if method == "TS":
self.root = TSNode(None, None, root, action_num, prior)
if max_step is not None:
self.step = 0
self.max_step = max_step
if max_time is not None:
self.start_time = time.time()
self.max_time = max_time
if max_step is None and max_time is None:
raise ValueError("Need a stop criteria!")
while (max_step is not None and self.step < self.max_step or max_step is None) \
and (max_time is not None and time.time() - self.start_time < self.max_time or max_time is None):
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print("Q={}".format(self.root.Q))
print("N={}".format(self.root.N))
print("W={}".format(self.root.W))
print("UCB={}".format(self.root.ucb))
print("\n")
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self.expand()
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if max_step is not None:
self.step += 1
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def expand(self):
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node, new_action = self.root.selection(self.simulator)
success = node.children[new_action].expansion(self.action_num)
if success:
value = node.simulation(self.evaluator, node.children[new_action].next_state)
node.children[new_action].backpropagation(value + 0.)
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else:
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node.children[new_action].backpropagation(0.)
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if __name__ == "__main__":
pass