"""
Trains an agent with stochastic policy gradients on Pong
from OpenAI Gym following Karpathy's example
"""
import numpy as np
import pickle
import gym
# hyperparameters
H = 200 # number of hidden layer neurons
batch_size = 2 # update parameters after this many episodes
learning_rate = 1e-4
gamma = 0.99 # discount factor for reward
decay_rate = 0.99 # decay factor for RMS prop leaky sum of grad^2
resume = False # Resume from previous checkpoint?
render = False
# model initialization
D = 80 * 80 # input dimensionality: 80x80 grid
if resume:
model = pickle.load(open('save.p', 'rb'))
else:
model = dict()
model['W1'] = np.random.randn(H, D) / np.sqrt(D) # use xavier intialization
model['W2'] = np.random.randn(H) / np.sqrt(H)
grad_buffer = {k: np.zeros_like(v) for k, v in model.items()}
rms_prop_cache = {k: np.zeros_like(v) for k, v in model.items()}
def sigmoid(x):
return 1.0 / (1.0 + np.exp(-x)) # sigmoid function to sqash
def prepro(I):
""" Prepro 210x160x3 uint frame into 6400 (80x80) 1D float vector """
I = I[35:195] # crop to game board
I = I[::2, ::2, 0] # down sample by a factor of 2
I[I == 144] = 0 # erase background type 1
I[I == 109] = 0 # erase background type 2
I[I != 0] = 1 # everything else is just 1
return I.astype(np.float).ravel()
def discount_rewards(r):
""" take 1D float array of rewards and compute discounted reward """
discounted_r = np.zeros_like(r)
running_add = 0
for t in reversed(range(0, r.size)):
if r[t] != 0:
running_add = 0
# reset sum since the ball hit a wall
discounted_r[t] = running_add
return discounted_r
def policy_forward(x):
h = np.dot(model['W1'], x)
# print('h is {}'.format(h))
h[h < 0] = 0 # apply ReLU
logp = np.dot(model['W2'], h)
p = sigmoid(logp)
return p, h # probability of action 2 and hidden state
def policy_backward(eph, epdlogp):
""" backward pass. (epdh is array of intermediate hidden states) """
dW2 = np.dot(eph.T, epdlogp).ravel()
dh = np.outer(epdlogp, model['W2'])
dh[eph <= 0] = 0 # ReLU for back prop
dW1 = np.dot(dh.T, epx)
return {'W1': dW1, 'W2': dW2}
env = gym.make("Pong-v0")
observation = env.reset()
prev_x = None # used to compute difference frame
xs, hs, dlogps, drs = [], [], [], []
running_reward = None
reward_sum = 0
episode_number = 0
while True:
if render:
env.render()
# useful later for scrabble!
# pre-process observation, set input to network as difference image
cur_x = prepro(observation)
x = cur_x - prev_x if prev_x is not None else np.zeros(D)
#print(x)
prev_x = cur_x
# forward the policy network and sample an action from the returned probability
aprob, h = policy_forward(x)
action = 2 if np.random.uniform() < aprob else 3
# record various intermediates necessary later for backprop
xs.append(x) # observation
hs.append(h) # hidden state
y = 1 if action == 2 else 0 # fake label
dlogps.append(y - aprob) # grad encourages actions taken to be taken
# http://cs231n.github.io/neural-networks-2/#losses
# step the environment and get new measurements
observation, reward, done, info = env.step(action)
reward_sum += reward
drs.append(reward) # record reward
if done:
print(episode_number)
episode_number += 1
# stack together all inputs, hidden states, action gradients, and rewards for this episode
epx = np.vstack(xs)
eph = np.vstack(hs)
epdlogp = np.vstack(dlogps)
epr = np.vstack(drs)
xs, hs, dlogps, drs = [], [], [], [] # reset array memory
# compute discounted reward backwards through time
discounted_epr = discount_rewards(epr)
# standardize rewards to unit normal
discounted_epr -= np.mean(discounted_epr)
discounted_epr /= np.std(discounted_epr)
epdlogp *= discounted_epr # modulate gradient with advantage (what...?)
grad = policy_backward(eph, epdlogp)
#print(grad)
for k in model: grad_buffer[k] += grad[k] # accumulate grad over batch
#print(grad_buffer)
# perform rms prop update every batch_size episodes
if episode_number % batch_size == 0:
print(model.items())
for k, v in model.items():
g = grad_buffer[k] # gradient
rms_prop_cache[k] = decay_rate * rms_prop_cache[k] + (1 - decay_rate) * g ** 2
model[k] += learning_rate * g / (np.sqrt(rms_prop_cache[k]) + 1e-5)
grad_buffer[k] = np.zeros_like(v) # reset gradient buffer
# bookkeeping
running_reward = reward_sum if running_reward is None else running_reward * 0.99 + reward_sum * 0.01
print('Resetting env. Episode reward total was {}. Running mean: {}'.format(reward_sum, running_reward))
if episode_number % 20 == 0:
pickle.dump(model, open('save.p', 'wb'))
reward_sum = 0
observation = env.reset()
prev_x = None
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