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# tag::alphago_imports[]
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import numpy as np
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from tugo.agent.base import Agent
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from tugo.goboard_fast import Move
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from tugo import kerasutil
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import operator
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# end::alphago_imports[]
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__all__ = [
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'AlphaGoNode',
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'AlphaGoMCTS'
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]
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# tag::init_alphago_node[]
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class AlphaGoNode:
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def __init__(self, parent=None, probability=1.0):
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self.parent = parent # <1>
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self.children = {} # <1>
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self.visit_count = 0
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self.q_value = 0
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self.prior_value = probability # <2>
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self.u_value = probability # <3>
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# <1> Tree nodes have one parent and potentially many children.
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# <2> A node is initialized with a prior probability.
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# <3> The utility function will be updated during search.
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# end::init_alphago_node[]
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# tag::select_node[]
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def select_child(self):
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return max(self.children.items(),
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key=lambda child: child[1].q_value + \
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child[1].u_value)
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# end::select_node[]
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# tag::expand_children[]
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def expand_children(self, moves, probabilities):
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for move, prob in zip(moves, probabilities):
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if move not in self.children:
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self.children[move] = AlphaGoNode(parent=self, probability=prob)
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# end::expand_children[]
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# tag::update_values[]
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def update_values(self, leaf_value):
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if self.parent is not None:
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self.parent.update_values(leaf_value) # <1>
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self.visit_count += 1 # <2>
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self.q_value += leaf_value / self.visit_count # <3>
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if self.parent is not None:
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c_u = 5
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self.u_value = c_u * np.sqrt(self.parent.visit_count) \
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* self.prior_value / (1 + self.visit_count) # <4>
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# <1> We update parents first to ensure we traverse the tree top to bottom.
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# <2> Increment the visit count for this node.
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# <3> Add the specified leaf value to the Q-value, normalized by visit count.
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# <4> Update utility with current visit counts.
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# end::update_values[]
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# tag::alphago_mcts_init[]
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class AlphaGoMCTS(Agent):
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# def __init__(self, policy_agent, fast_policy_agent, value_agent,
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# lambda_value=0.5, num_simulations=1000,
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# depth=50, rollout_limit=100):
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def __init__(self, policy_agent, fast_policy_agent, value_agent,
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lambda_value=0.5, num_simulations=100,
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depth=10, rollout_limit=10):
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self.policy = policy_agent
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self.rollout_policy = fast_policy_agent
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self.value = value_agent
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self.lambda_value = lambda_value
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self.num_simulations = num_simulations
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self.depth = depth
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self.rollout_limit = rollout_limit
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self.root = AlphaGoNode()
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# end::alphago_mcts_init[]
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# tag::alphago_mcts_rollout[]
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def select_move(self, game_state):
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for simulation in range(self.num_simulations): # <1>
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current_state = game_state
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node = self.root
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for depth in range(self.depth): # <2>
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if not node.children: # <3>
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if current_state.is_over():
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break
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moves, probabilities = self.policy_probabilities(current_state) # <4>
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node.expand_children(moves, probabilities) # <4>
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move, node = node.select_child() # <5>
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current_state = current_state.apply_move(move) # <5>
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value = self.value.predict(current_state) # <6>
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rollout = self.policy_rollout(current_state) # <6>
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weighted_value = (1 - self.lambda_value) * value + \
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self.lambda_value * rollout # <7>
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node.update_values(weighted_value) # <8>
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# <1> From current state play out a number of simulations
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# <2> Play moves until the specified depth is reached.
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# <3> If the current node doesn't have any children...
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# <4> ... expand them with probabilities from the strong policy.
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# <5> If there are children, we can select one and play the corresponding move.
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# <6> Compute output of value network and a rollout by the fast policy.
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# <7> Determine the combined value function.
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# <8> Update values for this node in the backup phase
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# end::alphago_mcts_rollout[]
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# tag::alphago_mcts_selection[]
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move = max(self.root.children, key=lambda move: # <1>
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self.root.children.get(move).visit_count) # <1>
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self.root = AlphaGoNode()
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if move in self.root.children: # <2>
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self.root = self.root.children[move]
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self.root.parent = None
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return move
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# <1> Pick most visited child of the root as next move.
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# <2> If the picked move is a child, set new root to this child node.
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# end::alphago_mcts_selection[]
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# tag::alphago_policy_probs[]
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def policy_probabilities(self, game_state):
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encoder = self.policy._encoder
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outputs = self.policy.predict(game_state)
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legal_moves = game_state.legal_moves()
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if not legal_moves:
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return [], []
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encoded_points = [encoder.encode_point(move.point) for move in legal_moves if move.point]
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legal_outputs = outputs[encoded_points]
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normalized_outputs = legal_outputs / np.sum(legal_outputs)
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return legal_moves, normalized_outputs
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# end::alphago_policy_probs[]
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# tag::alphago_policy_rollout[]
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def policy_rollout(self, game_state):
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for step in range(self.rollout_limit):
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if game_state.is_over():
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break
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move_probabilities = self.rollout_policy.predict(game_state)
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encoder = self.rollout_policy.encoder
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for idx in np.argsort(move_probabilities)[::-1]:
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max_point = encoder.decode_point_index(idx)
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greedy_move = Move(max_point)
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if greedy_move in game_state.legal_moves():
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game_state = game_state.apply_move(greedy_move)
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break
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next_player = game_state.next_player
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winner = game_state.winner()
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if winner is not None:
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return 1 if winner == next_player else -1
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else:
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return 0
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# end::alphago_policy_rollout[]
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def serialize(self, h5file):
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raise IOError("AlphaGoMCTS agent can\'t be serialized" +
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"consider serializing the three underlying" +
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"neural networks instad.")
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