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