## Setup import gymnasium as gym import math import random import matplotlib import matplotlib.pyplot as plt from collections import namedtuple, deque from itertools import count import torch import torch.nn as nn import torch.optim as optim import torch.nn.functional as F env = gym.make("CartPole-v1") # set up matplotlib is_ipython = 'inline' in matplotlib.get_backend() if is_ipython: from IPython import display plt.ion() # if gpu is to be used device = torch.device("cuda" if torch.cuda.is_available() else "cpu") # Replay Memory # # We'll be using experience replay memory for training our DQN. It stores the transitions that the agent observes, allowing us to reuse this data later. By sampling from it randomly, the transitions that build up a batch are decorrelated. It has been shown that this greatly stabilizes and improves the DQN training procedure. # For this, we're going to need two classses: # Transition - a named tuple representing a single transition in our environment. It essentially maps (state, action) pairs to their (next_state, reward) result, with the state being the screen difference image as described later on. # ReplayMemory - a cyclic buffer of bounded size that holds the transitions observed recently. It also implements a .sample() method for selecting a random batch of transitions for training. Transition = namedtuple( "Transition", ( "state", "action", "next_state", "reward" ) ) class ReplayMemory(object): def __init__(self, capacity): self.memory = deque([], maxlen=capacity) def push(self, *args): """Save a transition""" self.memory.append(Transition(*args)) def sample(self, batch_size): return random.sample(self.memory, batch_size) def __len__(self): return len(self.memory) # DQN Algorithm # # class DQN(nn.Module): def __init__(self, n_observations: int, n_actions: int): super(DQN, self).__init__() self.layer1 = nn.Linear(n_observations, 128) self.layer2 = nn.Linear(128, 128) self.layer3 = nn.Linear(128, n_actions) # Called with either one element to determine next action, or a batch # during optimization. Returns tensor([[left0exp,right0exp]...]). def forward(self, x): x = F.relu(self.layer1(x)) x = F.relu(self.layer2(x)) return self.layer3(x) # BATCH_SIZE is the number of transitions sampled from the replay buffer # GAMMA is the discount factor as mentioned in the previous section # EPS_START is the starting value of epsilon # EPS_END is the final value of epsilon # EPS_DECAY controls the rate of exponential decay of epsilon, higher means a slower decay # TAU is the update rate of the target network # LR is the learning rate of the AdamW optimizer BATCH_SIZE = 128 GAMMA = 0.99 EPS_START = 0.9 EPS_END = 0.05 EPS_DECAY = 1000 TAU = 0.005 LR = 1e-4 # Get number of actions from gym action space n_actions = env.action_space.n # Get the number of state observations state, info = env.reset() n_observations = len(state) policy_net = DQN(n_observations, n_actions).to(device) target_net = DQN(n_observations, n_actions).to(device) target_net.load_state_dict(policy_net.state_dict()) optimizer = optim.AdamW(policy_net.parameters(), lr=LR, amsgrad=True) memory = ReplayMemory(10000) steps_done = 0 def select_action(state): global steps_done sample = random.random() eps_threshold = ( EPS_END + (EPS_START - EPS_END) * math.exp( -1.0 * steps_done / EPS_DECAY ) ) steps_done += 1 if sample > eps_threshold: with torch.no_grad(): # t.max(1) will return the largest column value of each row. # second column on max result is index of where max element was # found, so we pick action with the larger expected reward. return policy_net(state).max(1)[1].view(1, 1) else: return torch.tensor( [ [env.action_space.sample()] ], device=device, dtype=torch.long ) episode_durations = [] def plot_durations(show_result=False): plt.figure(1) durations_t = torch.tensor(episode_durations, dtype=torch.float) if show_result: plt.title('Result') else: plt.clf() plt.title('Training...') plt.xlabel('Episode') plt.ylabel('Duration') plt.plot(durations_t.numpy()) # Take 100 episode averages and plot them too if len(durations_t) >= 100: means = durations_t.unfold(0, 100, 1).mean(1).view(-1) means = torch.cat((torch.zeros(99), means)) plt.plot(means.numpy()) plt.pause(0.001) # pause a bit so that plots are updated if is_ipython: if not show_result: display.display(plt.gcf()) display.clear_output(wait=True) else: display.display(plt.gcf()) def optimize_model(): if len(memory) < BATCH_SIZE: return transitions = memory.sample(BATCH_SIZE) # Transpose the batch (see https://stackoverflow.com/a/19343/3343043 for # detailed explanation). This converts batch-array of Transitions # to Transition of batch-arrays. batch = Transition(*zip(*transitions)) # Compute a mask of non-final states and concatenate the batch elements # (a final state would've been the one after which simulation ended) non_final_mask = torch.tensor( tuple( map( lambda s: s is not None, batch.next_state ) ), device=device, dtype=torch.bool ) non_final_next_states = torch.cat( [s for s in batch.next_state if s is not None] ) state_batch = torch.cat(batch.state) action_batch = torch.cat(batch.action) reward_batch = torch.cat(batch.reward) # Compute Q(s_t, a) - the model computes Q(s_t), then we select the # columns of actions taken. These are the actions which would've been taken # for each batch state according to policy_net state_action_values = policy_net(state_batch).gather(1, action_batch) # Compute V(s_{t+1}) for all next states. # Expected values of actions for non_final_next_states are computed based # on the "older" target_net; selecting their best reward with max(1)[0]. # This is merged based on the mask, such that we'll have either the expected # state value or 0 in case the state was final. next_state_values = torch.zeros(BATCH_SIZE, device=device) with torch.no_grad(): next_state_values[non_final_mask] = target_net(non_final_next_states).max(1)[0] # Compute the expected Q values expected_state_action_values = (next_state_values * GAMMA) + reward_batch # Compute Huber loss criterion = nn.SmoothL1Loss() loss = criterion(state_action_values, expected_state_action_values.unsqueeze(1)) # Optimize the model optimizer.zero_grad() loss.backward() # In-place gradient clipping torch.nn.utils.clip_grad_value_(policy_net.parameters(), 100) optimizer.step() if torch.cuda.is_available(): num_episodes = 600 else: num_episodes = 50 for i_episode in range(num_episodes): # Initialize the environment and get its state state, info = env.reset() state = torch.tensor(state, dtype=torch.float32, device=device).unsqueeze(0) for t in count(): action = select_action(state) observation, reward, terminated, truncated, _ = env.step(action.item()) reward = torch.tensor([reward], device=device) done = terminated or truncated if terminated: next_state = None else: next_state = torch.tensor(observation, dtype=torch.float32, device=device).unsqueeze(0) # Store the transition in memory memory.push(state, action, next_state, reward) # Move to the next state state = next_state # Perform one step of the optimization (on the policy network) optimize_model() # Soft update of the target network's weights # θ′ ← τ θ + (1 −τ )θ′ target_net_state_dict = target_net.state_dict() policy_net_state_dict = policy_net.state_dict() for key in policy_net_state_dict: target_net_state_dict[key] = policy_net_state_dict[key]*TAU + target_net_state_dict[key]*(1-TAU) target_net.load_state_dict(target_net_state_dict) if done: episode_durations.append(t + 1) plot_durations() break print('Complete') plot_durations(show_result=True) plt.ioff() plt.show() en = gym.make("CartPole-v1", render_mode = "human") while True: state, _ = en.reset() state = torch.tensor( state, dtype=torch.float32, device=device ).unsqueeze(0) terminated = False truncated = False while not (terminated or truncated): action = policy_net(state).max(1)[1].view(1, 1) ( state, # new state reward, # reward as a result of action terminated, # bool: reached a terminal state (win or loss). If True, must reset. truncated, # bool: end of time limit. If true, must reset. _ ) = en.step(action.item()) state = torch.tensor( state, dtype=torch.float32, device=device ).unsqueeze(0) en.render() en.reset()