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import argparse
import math
import gym
from buffer import ReplayBuffer
from network import *
from utils import update_target
import pdb
gym.logger.set_level(40)
USE_GPU = torch.cuda.is_available()
ZERO = 1e-8
class BDG(object):
def __init__(self, num_gaussians, num_actions, input_dim, loss, alpha, beta, eta, delta, cdf_type,
lr, buffer_size, batch_size, gamma):
self.num_gaussian = num_gaussians # with k gaussians, and the parameters are 3*k
self.num_action = num_actions # the number of output dim is 3*k*num_action
self.input_dim = input_dim
self.out_dim = self.num_gaussian * 3 * self.num_action
self.batch_size = batch_size
self.buffer_size = buffer_size
self.lr = lr
self.alpha = alpha
self.beta = beta
self.eta = eta
self.gamma = gamma
self.delta = delta
self.loss = loss # the type of the loss for the value network
self.cdf_type = cdf_type
self.mse = nn.MSELoss()
self.min_var = 0.0000001
self.buffer = ReplayBuffer(buffer_size)
self.mean_net = meanNet(input_dim=self.input_dim, out_dim=self.out_dim)
self.var_net = varNet(input_dim=self.input_dim, out_dim=self.out_dim)
self.weight_net = weightNet(input_dim=self.input_dim, out_dim=self.out_dim)
self.mean_tar_net = meanNet(input_dim=self.input_dim, out_dim=self.out_dim)
self.var_tar_net = varNet(input_dim=self.input_dim, out_dim=self.out_dim)
self.weight_tar_net = weightNet(input_dim=self.input_dim, out_dim=self.out_dim)
self.optimizer_mean = torch.optim.Adam(self.mean_net.parameters(), lr=lr)
self.optimizer_var = torch.optim.Adam(self.var_net.parameters(), lr=lr)
self.optimizer_weight = torch.optim.Adam(self.weight_net.parameters(), lr=lr)
update_target(self.mean_tar_net,self.mean_net, update_rate=1)
update_target(self.var_tar_net,self.var_net, update_rate=1)
update_target(self.weight_tar_net,self.weight_net, update_rate=1)
self.net = MLPNetwork(input_dim=self.input_dim, out_dim=self.out_dim)
self.optimizer = torch.optim.Adam(self.net.parameters(), lr=lr)
self.tar_net = MLPNetwork(input_dim=self.input_dim, out_dim=self.out_dim)
update_target(tar_net=self.tar_net, net=self.net, update_rate=1)
def choose_action(self, x, eps):
if np.random.uniform() >= eps:
mean = self.mean_net(x).view(-1, self.num_gaussian)
var = self.var_net(x).view(-1, self.num_gaussian)
weight = self.weight_net(x).view(-1, self.num_gaussian)
out = torch.cat([weight, mean, var]).view(3, -1)
out = torch.transpose(out, 0, 1).reshape(-1, self.out_dim)
action_value_gaussian = out.view(-1, self.num_gaussian * 3).cpu()
# action_value_gaussian = self.net(x).view(-1, self.num_gaussian * 3)
action_value = torch.zeros(self.num_action)
for i in range(self.num_gaussian):
action_value += action_value_gaussian[:, 3 * i] * action_value_gaussian[:, 3 * i + 1]
#print(action_value)
action = torch.argmax(action_value).data.cpu().numpy()
else:
action = np.random.randint(0, self.num_action)
return action
def push_transition(self, s, a, r, s_, done):
self.buffer.add(s, a, r, s_, float(done))
def sampling_discretization(self, dis):
# max = -999
# min = 999
# for i in range(len(dis)//3):
# mean = dis[3*i+1]
# dev = dis[3*i+2]
# if (mean + 3*dev) > max:
# max = mean+3*dev
# if (mean - 3*dev) < min:
# min = mean-3*dev
# sampling = np.arange(min, max, (max-min)/200).tolist()
#
# return sampling
sampling_point = []
for i in range(len(dis)):
if len(dis) % 3 != 0:
print("the length of the dis is not correct")
else:
num_gauss = len(dis) // 3
for i in range(num_gauss):
if dis[3 * i] < ZERO:
continue
mean = dis[3 * i + 1]
dev = dis[3 * i + 2]
step = (self.beta * dev * 2) / self.delta
sampling = np.arange(mean - self.beta * dev, mean + self.beta * dev, step).tolist()
sampling_point.extend(sampling)
sampling_point.sort()
return sampling_point
def sampling_cdf_gaussian(self, sampling_points, mean, dev):
sampling_cdf = torch.zeros(len(sampling_points))
sqrt_2 = math.sqrt(2)
sqrt_pi = math.sqrt(math.pi)
for i in range(len(sampling_points)):
x = (sampling_points[i] - mean) / dev
sampling_cdf[i] = 0.5 * (1 + torch.erf(x / sqrt_2))
return sampling_cdf
def combined_distance(self, dis, tar_dis):
loss = torch.tensor(0.0, dtype=torch.float32, requires_grad=True)
for k in range(self.batch_size):
combine_dis = torch.cat((dis[k, :], tar_dis[k, :]), dim=0) #30
#pdb.set_trace()
sampling_points = self.sampling_discretization(combine_dis.detach().cpu().numpy())
sampling_dis_cdf = torch.zeros(len(sampling_points))
sampling_tar_dis_cdf = torch.zeros(len(sampling_points))
# pdb.set_trace()
for i in range (self.num_gaussian):
sampling_dis_cdf += dis[k, 3 * i] * self.sampling_cdf_gaussian(sampling_points,
dis[k, 3 * i + 1], dis[k, 3 * i + 2])
for i in range(self.num_gaussian):
sampling_tar_dis_cdf += tar_dis[k, 3 * i] * self.sampling_cdf_gaussian(sampling_points,
tar_dis[k, 3 * i + 1], tar_dis[k, 3 * i + 2])
cramer_distance = torch.tensor(0.0, dtype=torch.float32, requires_grad=True)
quantile_distance = torch.tensor(0.0, dtype=torch.float32, requires_grad=True)
# pdb.set_trace()
for i in range(len(sampling_points) - 1):
# # for cramer distance
cramer_distance = cramer_distance + (sampling_dis_cdf[i] - sampling_tar_dis_cdf[i]) * (sampling_dis_cdf[i] - sampling_tar_dis_cdf[i]) * (sampling_points[i + 1] - sampling_points[i])
sgn = 0
if math.fabs(sampling_dis_cdf[i] - sampling_tar_dis_cdf[i]) < ZERO:
continue
elif sampling_dis_cdf[i] - sampling_tar_dis_cdf[i] > ZERO:
sgn = 1
else:
sgn = -1
j = i
quantile_square = torch.tensor(0.0, dtype=torch.float32, requires_grad=True)
while abs(j) < len(sampling_tar_dis_cdf) and sgn * (sampling_dis_cdf[i] - sampling_tar_dis_cdf[j]) > 0:
quantile_square = quantile_square + (sampling_dis_cdf[j] - sampling_dis_cdf[i]) * ((sampling_points[j] - sampling_points[i]))
j += sgn
quantile_distance = quantile_distance + quantile_square * (sampling_dis_cdf[i + 1] - sampling_dis_cdf[i])
loss = loss + (1 - self.eta) * cramer_distance + self.eta * quantile_distance
# print(loss.item())
# loss = loss + cramer_distance
return loss
def update(self):
for step in range(10):
b_s, b_a, b_r, b_s_, b_done = self.buffer.sample(self.batch_size)
b_s = torch.tensor(b_s).float()
b_a = torch.tensor(b_a).long()
b_r = torch.tensor(b_r).float()
b_s_ = torch.tensor(b_s_).float()
b_done = torch.tensor(b_done).float()
mean = self.mean_net(b_s)
var = self.var_net(b_s)
weight = self.weight_net(b_s)
out = torch.cat([weight, mean, var], dim=1)
lst_size = list(out.size())
if len(lst_size) > 1:
lst_rows = []
for row in range(lst_size[0]):
ouT = out[row]
ouT = ouT.view(3, -1)
ouT = torch.transpose(ouT, 0, 1)
ouT = ouT.reshape(-1, self.out_dim)
lst_rows.append(ouT)
out = torch.stack(lst_rows)
else:
out = out.view(3, -1)
out = torch.transpose(out, 0, 1)
out = out.reshape(-1, self.out_dim)
q_eval = out.view(self.batch_size, -1, self.num_gaussian * 3)
# q_eval = self.net(b_s).view(self.batch_size, -1, self.num_gaussian * 3)
q_eval = torch.stack([q_eval[j][b_a[j]] for j in range(self.batch_size)]).squeeze(dim=1)
mean_next = self.mean_tar_net(b_s_)
var_next = self.var_tar_net(b_s_)
weight_next = self.weight_tar_net(b_s_)
out = torch.cat([weight_next, mean_next, var_next], dim=1)
lst_size = list(out.size())
if len(lst_size) > 1:
lst_row = []
for row in range(lst_size[0]):
ouT = out[row]
ouT = torch.transpose(ouT.view(3, -1), 0, 1)
ouT = ouT.reshape(-1, self.out_dim)
lst_row.append(ouT)
out = torch.stack(lst_row)
else:
out = torch.transpose(out.view(3, -1), 0, 1)
out = out.reshape(-1, self.out_dim)
q_next = out.view(self.batch_size, -1, self.num_gaussian * 3)
q_value = torch.zeros(self.batch_size, self.num_action)
for j in range(self.batch_size):
for k in range(self.num_action):
for gau in range(self.num_gaussian):
q_value[j][k] += q_next[j][k][3 * gau] * q_next[j][k][3 * gau + 1]
action_max = torch.max(q_value, -1)[1]
#q_eval or q_next??
q_next = torch.stack([q_next[j][action_max[j]] for j in range(self.batch_size)])
q_tar = torch.zeros(self.batch_size, self.num_gaussian * 3) # 15/30?? 还没加alpha
# smooth update
for j in range(self.batch_size):
if b_done[j] == 1:
q_tar[j][0] = 1
q_tar[j][1] = b_r[j]
q_tar[j][2] = self.min_var
else:
for t in range(3 * self.num_gaussian):
q_tar[j][t] = q_next[j][t]
for gau in range(self.num_gaussian):
q_tar[j][3 * gau + 1] *= self.gamma
q_tar[j][3 * gau + 1] += b_r[j][0]
# q_tar[:, self.num_gaussian * 3:] = q_eval
#
# for gau in range(self.num_gaussian):
# q_tar[:, 3 * gau] *= (1 - self.alpha)
# q_tar[:, 3 * gau + self.num_gaussian * 3] *= self.alpha
loss = self.combined_distance(q_eval, q_tar.detach())
# loss = self.mse(q_eval, q_tar.detach())
self.optimizer_mean.zero_grad()
self.optimizer_var.zero_grad()
self.optimizer_weight.zero_grad()
loss.backward()
print(loss.item())
self.optimizer_mean.step()
self.optimizer_var.step()
self.optimizer_weight.step()
def train(config):
env = gym.make(config.env_name)
obs_dim = env.observation_space.shape[0]
act_dim = env.action_space.n
bdg = BDG(num_gaussians=config.num_gaussians, input_dim=obs_dim, num_actions=act_dim, cdf_type=config.cdf_type,
loss=config.loss, alpha=config.alpha, beta=config.beta, eta=config.eta, delta=config.delta,
buffer_size=config.buffer_size,
batch_size=config.batch_size, gamma=config.gamma, lr=config.lr)
score = 0.0
print_interval = 1
for n_epi in range(int(config.max_episodes)):
epsilon = max(0.01, 0.08 - 0.01 * (n_epi / 200)) # Linear annealing from 8% to 1%
s = env.reset()
for step in range(config.max_steps):
a = bdg.choose_action(torch.from_numpy(s).float(), epsilon)
s_, r, done, info = env.step(a)
done_mask = 1.0 if done else 0.0
bdg.push_transition(s, a, r / 100.0, s_, done_mask)
s = s_
score += r
if done:
break
if bdg.buffer.__len__() > 2000:
bdg.update()
if n_epi % print_interval == 0 and n_epi != 0:
# update_target(bdg.tar_net, bdg.net, update_rate=0.85)
update_target(bdg.mean_tar_net, bdg.mean_net, update_rate=0.85)
update_target(bdg.var_tar_net, bdg.var_net, update_rate=0.85)
update_target(bdg.weight_tar_net, bdg.weight_net, update_rate=0.85)
print("# of episode :{}, avg score : {:.1f}, buffer size : {}, epsilon : {:.1f}%".format(
n_epi, score / print_interval, bdg.buffer.__len__(), epsilon * 100))
score = 0.0
env.close()
if __name__ == "__main__":
parser = argparse.ArgumentParser()
parser.add_argument("--env_name", default='CartPole-v0', help="name of the env")
parser.add_argument("--max_episodes", type=int, default=5e5, help="number of episodes for training")
parser.add_argument("--max_steps", type=int, default=600, help="number of steps for each episode")
parser.add_argument("--gamma", type=float, default=0.98, help="discounting factor")
parser.add_argument("--lr", type=float, default=0.003, help="learning rate")
parser.add_argument("--buffer_size", type=int, default=50000, help="size of replay buffer")
parser.add_argument("--batch_size", type=int, default=8, help="size of batch")
parser.add_argument("--num_gaussians", type=int, default=5, help="number of Gaussians for the network")
parser.add_argument("--loss", default='cramer', help="the type of loss for the q network, cramer or quantile")
parser.add_argument("--alpha", type=float, default=0.85, help="the smooth Bellman update parameter")
parser.add_argument("--beta", type=float, default=3, help="the deviations considered")
parser.add_argument("--eta", type=float, default=0.5, help="the smooth parameter of two distances")
parser.add_argument("--delta", type=int, default=10, help="the sampling step range/the 3 sigma")
parser.add_argument("--cdf_type", type=bool, default=True,
help="the type of cdf approximation, true for torch.erf(), false for tanh() approximation")
config = parser.parse_args()
train(config)