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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):
raise NotImplementedError("Need to implement function selection")
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def backpropagation(self, action, value):
raise NotImplementedError("Need to implement function backpropagation")
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def expansion(self, simulator, action):
raise NotImplementedError("Need to implement function expansion")
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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):
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action = np.argmax(self.ucb)
if action in self.children.keys():
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self.children[action].selection()
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else:
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return self, action
def backpropagation(self, action, value):
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self.N[action] += 1
self.W[action] += 1
self.Q = self.W / self.N
self.ucb = self.Q + c_puct * self.prior * math.sqrt(np.sum(self.N)) / (self.N + 1)
self.parent.backup_value(self.parent.action, value)
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def expansion(self, simulator, action):
next_state = simulator.step_forward(self.state, action)
# TODO: Let users/evaluator give the prior
prior = np.ones([self.action_num]) / self.action_num
self.children[action] = UCTNode(self, action, next_state, self.action_num, prior)
def simulation(self, evaluator, state):
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.value = {}
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
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):
self.expand()
def expand(self):
node, new_action = self.root.selection()
node.expansion(self.simulator, new_action)
value = node.simulation(self.evaluator, node.children[new_action].state)
node.backpropagation(new_action, value)
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if __name__=="__main__":
pass