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main_part_B.py
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main_part_B.py
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import random
import numpy as np
import matplotlib.pyplot as plt
from main import Grid, TaxiDomain
class Q_Learning:
def __init__(self, taxi_domain_problem, learning_rate, discount, exploration_rate, decay_exploration):
self.tdp = taxi_domain_problem
self.grid = self.tdp.grid
self.learning_rate = learning_rate
self.discount = discount
self.exploration_rate = exploration_rate
self.decay_exploration = decay_exploration # True or False
self.q_values = {}
for state in self.tdp.all_states:
for action in TaxiDomain.actions:
self.q_values[(state, action)] = 0
if self.grid.size == (5,5):
self.valid_passenger_depots = ["R", "B", "G", "Y"]
elif self.grid.size == (10,10):
self.valid_passenger_depots = ["R", "B", "G", "Y", "W", "M", "C", "P"]
self.valid_passenger_depots.remove(self.tdp.dest_depot)
def initialize_episode(self):
passenger_loc = self.grid.depots[random.choice(self.valid_passenger_depots)]
taxi_loc = (random.randint(0,self.grid.size[1]-1), random.randint(0,self.grid.size[0]-1))
passenger_in_taxi = False
self.tdp.state = (taxi_loc, passenger_loc, passenger_in_taxi)
def choose_action(self, state, num_updates):
sample = random.uniform(0.0, 1.0)
exp_rate = self.exploration_rate
if self.decay_exploration:
exp_rate /= num_updates
if sample <= exp_rate: # choose random action (explore)
a = random.choice(list(TaxiDomain.actions))
else: # choose action with best q-value (greedy)
best_action = None
best_value = None
for action in TaxiDomain.actions:
qv = self.q_values[(state, action)]
if best_value == None or best_value < qv:
best_value = qv
best_action = action
a = best_action
# print(a)
return a
def extract_policy(self, q_values):
p = {}
for state in self.tdp.all_states:
best_action = None
best_q_value = None
for action in TaxiDomain.actions:
if best_q_value == None or q_values[(state, action)] > best_q_value:
best_q_value = q_values[(state, action)]
best_action = action
p[state] = best_action
return p
def compute_discounted_rewards(self, policy, num_episodes):
drs = []
discount = self.discount
test_tdp = TaxiDomain(self.grid)
test_tdp.dest_depot = self.tdp.dest_depot
test_tdp.dest_loc = self.tdp.dest_loc
test_tdp.goal_state = self.tdp.goal_state
for trial in range(num_episodes):
dr = 0
multiplier = 1
# initialize passenger and taxi locations for test_tdp
passenger_loc = self.grid.depots[random.choice(self.valid_passenger_depots)]
taxi_loc = (random.randint(0,self.grid.size[1]-1), random.randint(0,self.grid.size[0]-1))
test_tdp.state = (taxi_loc, passenger_loc, False)
# run this episode
num_step = 0
while not test_tdp.state == test_tdp.goal_state and num_step < 500:
num_step += 1
# print(f"\nStep No.: {num_step} [Evaluation]")
# test_tdp.print_state()
action = policy[test_tdp.state]
next_state, reward = test_tdp.take_action(test_tdp.state, action)
test_tdp.state = next_state
dr += multiplier * reward
multiplier *= discount
drs.append(dr)
return drs
def learn(self, num_episodes, compute_rewards):
tdp = self.tdp
num_updates = 0
discounted_rewards = []
average_discounted_rewards = []
episode_nums = []
for episode in range(num_episodes):
print(f"Episode no.: {episode}")
self.initialize_episode()
num_step = 0
while tdp.state != tdp.goal_state and num_step < 500:
num_step += 1
num_updates += 1
# print(f"\nStep No.: {num_step}")
a = self.choose_action(tdp.state, num_updates)
next_state, reward = tdp.take_action(tdp.state, a)
max_q_next_state = None
for action in TaxiDomain.actions:
if max_q_next_state == None or max_q_next_state < self.q_values[(next_state, action)]:
max_q_next_state = self.q_values[(next_state, action)]
sample = reward + self.discount * max_q_next_state
old_q_value = self.q_values[(tdp.state, a)]
self.q_values[(tdp.state, a)] = (1-self.learning_rate)*old_q_value + self.learning_rate*sample
# tdp.print_state()
# print(f"Q({tdp.state}, {a}) updated from {old_q_value} to {self.q_values[(tdp.state, a)]} by (1-{self.learning_rate})*{old_q_value}+{self.learning_rate}*[{reward}+{self.discount}*{max_q_next_state}]")
tdp.state = next_state
if compute_rewards and episode!=0 and episode%20 == 0:
print(f"\nEvaluating episode no.: {episode}\n")
policy = self.extract_policy(self.q_values)
dr = self.compute_discounted_rewards(policy, 20)
discounted_rewards.append(dr)
average_discounted_rewards.append(sum(dr)/len(dr))
episode_nums.append(episode)
# evaluate last time
print(f"\nEvaluating episode no.: {num_episodes-1}\n")
policy = self.extract_policy(self.q_values)
dr = self.compute_discounted_rewards(policy, 20)
discounted_rewards.append(dr)
average_discounted_rewards.append(sum(dr)/len(dr))
episode_nums.append(num_episodes-1)
return (episode_nums, discounted_rewards, average_discounted_rewards)
class SARSA_Learning:
def __init__(self, taxi_domain_problem, learning_rate, discount, exploration_rate, decay_exploration):
self.tdp = taxi_domain_problem
self.grid = self.tdp.grid
self.learning_rate = learning_rate
self.discount = discount
self.exploration_rate = exploration_rate
self.decay_exploration = decay_exploration # True or False
self.q_values = {}
for state in self.tdp.all_states:
for action in TaxiDomain.actions:
self.q_values[(state, action)] = 0
if self.grid.size == (5,5):
self.valid_passenger_depots = ["R", "B", "G", "Y"]
elif self.grid.size == (10,10):
self.valid_passenger_depots = ["R", "B", "G", "Y", "W", "M", "C", "P"]
self.valid_passenger_depots.remove(self.tdp.dest_depot)
def initialize_episode(self):
passenger_loc = self.grid.depots[random.choice(self.valid_passenger_depots)]
taxi_loc = (random.randint(0,self.grid.size[1]-1), random.randint(0,self.grid.size[0]-1))
passenger_in_taxi = False
self.tdp.state = (taxi_loc, passenger_loc, passenger_in_taxi)
def choose_action(self, state, num_updates):
sample = random.uniform(0.0, 1.0)
exp_rate = self.exploration_rate
if self.decay_exploration:
exp_rate /= num_updates
if sample <= exp_rate: # choose random action (explore)
a = random.choice(list(TaxiDomain.actions))
else: # choose action with best q-value (greedy)
best_action = None
best_value = None
for action in TaxiDomain.actions:
qv = self.q_values[(state, action)]
if best_value == None or best_value < qv:
best_value = qv
best_action = action
a = best_action
# print(a)
return a
def extract_policy(self, q_values):
p = {}
for state in self.tdp.all_states:
best_action = None
best_q_value = None
for action in TaxiDomain.actions:
if best_q_value == None or q_values[(state, action)] > best_q_value:
best_q_value = q_values[(state, action)]
best_action = action
p[state] = best_action
return p
def compute_discounted_rewards(self, policy, num_episodes):
drs = []
discount = self.discount
test_tdp = TaxiDomain(self.grid)
test_tdp.dest_depot = self.tdp.dest_depot
test_tdp.dest_loc = self.tdp.dest_loc
test_tdp.goal_state = self.tdp.goal_state
for trial in range(num_episodes):
dr = 0
multiplier = 1
# initialize passenger and taxi locations for test_tdp
passenger_loc = self.grid.depots[random.choice(self.valid_passenger_depots)]
taxi_loc = (random.randint(0,self.grid.size[1]-1), random.randint(0,self.grid.size[0]-1))
test_tdp.state = (taxi_loc, passenger_loc, False)
# run this episode
num_step = 0
while not test_tdp.state == test_tdp.goal_state and num_step < 500:
num_step += 1
# print(f"\nStep No.: {num_step} [Evaluation]")
# test_tdp.print_state()
action = policy[test_tdp.state]
next_state, reward = test_tdp.take_action(test_tdp.state, action)
test_tdp.state = next_state
dr += multiplier * reward
multiplier *= discount
drs.append(dr)
return drs
def learn(self, num_episodes, compute_rewards):
tdp = self.tdp
num_updates = 0
discounted_rewards = []
average_discounted_rewards = []
episode_nums = []
for episode in range(num_episodes):
print(f"Episode no.: {episode}")
self.initialize_episode()
num_step = 0
while tdp.state != tdp.goal_state and num_step < 500:
num_step += 1
num_updates += 1
# print(f"\nStep No.: {num_step}")
a = self.choose_action(tdp.state, num_updates)
next_state, reward = tdp.take_action(tdp.state, a)
a_next = self.choose_action(next_state, num_updates)
q_next_state = self.q_values[(next_state, a_next)]
sample = reward + self.discount * q_next_state
old_q_value = self.q_values[(tdp.state, a)]
self.q_values[(tdp.state, a)] = (1-self.learning_rate)*old_q_value + self.learning_rate*sample
# tdp.print_state()
# print(f"Q({tdp.state}, {a}) updated from {old_q_value} to {self.q_values[(tdp.state, a)]} by (1-{self.learning_rate})*{old_q_value}+{self.learning_rate}*[{reward}+{self.discount}*{max_q_next_state}]")
tdp.state = next_state
if compute_rewards and episode!=0 and episode%20 == 0:
print(f"\nEvaluating episode no.: {episode}\n")
policy = self.extract_policy(self.q_values)
dr = self.compute_discounted_rewards(policy, 20)
discounted_rewards.append(dr)
average_discounted_rewards.append(sum(dr)/len(dr))
episode_nums.append(episode)
# evaluate last time
print(f"\nEvaluating episode no.: {num_episodes-1}\n")
policy = self.extract_policy(self.q_values)
dr = self.compute_discounted_rewards(policy, 20)
discounted_rewards.append(dr)
average_discounted_rewards.append(sum(dr)/len(dr))
episode_nums.append(num_episodes-1)
return (episode_nums, discounted_rewards, average_discounted_rewards)
def partB_2():
alpha = 0.25
gamma = 0.99
epsilon = 0.1
grid = Grid(1)
# Q-Learning with epsilon greedy
tdp1 = TaxiDomain(grid)
ql1 = Q_Learning(tdp1, alpha, gamma, epsilon, False)
ens1, drs1, adrs1 = ql1.learn(2000, True)
# Q-Learning with decaying epsilon greedy rate
tdp2 = TaxiDomain(grid)
ql2 = Q_Learning(tdp2, alpha, gamma, epsilon, True)
ens2, drs2, adrs2 = ql2.learn(2000, True)
# SARSA Learning with epsilon greedy
tdp3 = TaxiDomain(grid)
ql3 = SARSA_Learning(tdp3, alpha, gamma, epsilon, False)
ens3, drs3, adrs3 = ql3.learn(2000, True)
# SARSA Learning with decaying epsilon greedy rate
tdp4 = TaxiDomain(grid)
ql4 = SARSA_Learning(tdp4, alpha, gamma, epsilon, True)
ens4, drs4, adrs4 = ql4.learn(2000, True)
fig = plt.gcf()
fig.set_size_inches(8, 6)
plt.plot(ens1, adrs1, label=f"Q-Learning")
plt.plot(ens2, adrs2, label=f"Q-Learning with decaying exploration")
plt.plot(ens3, adrs3, label=f"SARSA Learning")
plt.plot(ens4, adrs4, label=f"SARSA Learning with decaying exploration")
plt.xlabel("Episode No.")
plt.ylabel("Average discounted reward (over 20 episodes)")
plt.title("Average discounted reward vs. Training episodes")
plt.legend()
plt.show()
fig_name = "PartB_2.png"
fig.savefig(fig_name, dpi=100)
print(f"Plot '{fig_name}' generated...")
def partB_3():
alpha = 0.25
gamma = 0.99
epsilon = 0.1
grid = Grid(1)
# training using Q-Learning with decaying epsilon greedy rate
tdp = TaxiDomain(grid)
ql = Q_Learning(tdp, alpha, gamma, epsilon, True)
ens, drs, adrs = ql.learn(2000, False)
# extract policy
policy = ql.extract_policy(ql.q_values)
# test policy on 5 episodes
test_tdp = TaxiDomain(grid)
test_tdp.dest_depot = tdp.dest_depot
test_tdp.dest_loc = tdp.dest_loc
test_tdp.goal_state = tdp.goal_state
for trial in range(5):
print("\n\nEpisode No. = "+str(trial)+"\n")
# initialize passenger and taxi locations
passenger_loc = test_tdp.grid.depots[random.sample(ql.valid_passenger_depots, 1)[0]]
taxi_loc = (random.randint(0,test_tdp.grid.size[1]-1), random.randint(0,test_tdp.grid.size[0]-1))
test_tdp.state = (taxi_loc, passenger_loc, False)
# run this episode
num_step = 0
while not test_tdp.state == test_tdp.goal_state and num_step < 500:
num_step += 1
print(f"\nStep No.: {num_step}")
test_tdp.print_state()
action = policy[test_tdp.state]
next_state, reward = test_tdp.take_action(test_tdp.state, action)
test_tdp.state = next_state
def partB_4():
grid = Grid(1)
gamma = 0.99
alpha = 0.1
# vary exploration rate
print("\nRunning Q-Learning for different exploration rates...")
ens_list, adrs_list = [], []
exp_rates = [0, 0.05, 0.1, 0.5, 0.9]
for exp in exp_rates:
print(f"\n\nRunning for exploration rate={exp}\n")
tdp = TaxiDomain(grid)
ql = Q_Learning(tdp, alpha, gamma, exp, False)
ens, drs, adrs = ql.learn(2000, True)
ens_list.append(ens)
adrs_list.append(adrs)
fig = plt.gcf()
fig.set_size_inches(8, 6)
for i in range(len(exp_rates)):
exp = exp_rates[i]
plt.plot(ens_list[i], adrs_list[i], label=f"Exploration rate: {exp}")
plt.xlabel("Episode No.")
plt.ylabel("Average discounted reward (over 20 episodes)")
plt.title("Average discounted reward vs. Training episodes as exploration rate varies")
plt.legend()
plt.show()
fig_name = "PartB_4_exploration.png"
fig.savefig(fig_name, dpi=100)
print(f"Plot '{fig_name}' generated...")
# vary learning rate
epsilon = 0.1
ens_list, adrs_list = [], []
learning_rates = [0.1, 0.2, 0.3, 0.4, 0.5]
print("\nRunning Q-Learning for different learning rates...")
for lr in learning_rates:
print(f"\n\nRunning for learning rate={lr}\n")
tdp = TaxiDomain(grid)
ql = Q_Learning(tdp, lr, gamma, epsilon, False)
ens, drs, adrs = ql.learn(2000, True)
ens_list.append(ens)
adrs_list.append(adrs)
fig = plt.gcf()
fig.set_size_inches(8, 6)
for i in range(len(learning_rates)):
lr = learning_rates[i]
plt.plot(ens_list[i], adrs_list[i], label=f"Learning rate: {lr}")
plt.xlabel("Episode No.")
plt.ylabel("Average discounted reward (over 20 episodes)")
plt.title("Average discounted reward vs. Training episodes as learning rate varies")
plt.legend()
plt.show()
fig_name = "PartB_4_learning.png"
fig.savefig(fig_name, dpi=100)
print(f"Plot '{fig_name}' generated...")
def partB_5():
# SEEE: What are the best learning and exploration rates? Set them here
alpha = 0.5
gamma = 0.99
epsilon = 0.2
grid = Grid(2)
# Q-Learning with decaying epsilon greedy rate
tdp2 = TaxiDomain(grid)
ql2 = Q_Learning(tdp2, alpha, gamma, epsilon, True)
ens2, drs2, adrs2 = ql2.learn(10000, True)
fig = plt.gcf()
fig.set_size_inches(8, 6)
plt.plot(ens2, adrs2, label=f"Q-Learning with decaying exploration")
plt.xlabel("Episode No.")
plt.ylabel("Average discounted reward (over 20 episodes)")
plt.title("Average discounted reward vs. Training episodes on 10*10 Grid")
plt.legend()
plt.show()
fig_name = "PartB_5.png"
fig.savefig(fig_name, dpi=100)
print(f"Plot '{fig_name}' generated...")
if __name__ == "__main__":
# grid = Grid(1)
# tdp = TaxiDomain(grid)
# ql = Q_Learning(tdp, 0.25, 0.99, 0.1, False)
# ql.learn(2000)
# partB_2()
# partB_3()
#partB_4()
partB_5()