update codes

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johnjim0816
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食用本篇之前需要有DQN算法的基础参考[DQN算法实战](../DQN)。
## 原理简介
Double-DQN是2016年提出的算法灵感源自2010年的Double-Qlearning可参考论文[Deep Reinforcement Learning with Double Q-learning](https://arxiv.org/abs/1509.06461)。
跟Nature DQN一样Double-DQN也用了两个网络一个当前网络(对应用$Q$表示),一个目标网络(对应一般用$Q'$表示,为方便区分,以下用$Q_{tar}$代替)。我们先回忆一下,对于非终止状态,目标$Q_{tar}$值计算如下
![在这里插入图片描述](assets/20201222145725907.png)
而在Double-DQN中不再是直接从目标$Q_{tar}$网络中选择各个动作中的最大$Q_{tar}$值,而是先从当前$Q$网络选择$Q$值最大对应的动作,然后代入到目标网络中计算对应的值:
![在这里插入图片描述](assets/20201222150225327.png)
Double-DQN的好处是Nature DQN中使用max虽然可以快速让Q值向可能的优化目标靠拢但是很容易过犹不及导致过度估计(Over Estimation),所谓过度估计就是最终我们得到的算法模型有很大的偏差(bias)。为了解决这个问题, DDQN通过解耦目标Q值动作的选择和目标Q值的计算这两步来达到消除过度估计的问题感兴趣可以阅读原论文。
伪代码如下:
![在这里插入图片描述](assets/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L0pvaG5KaW0w,size_16,color_FFFFFF,t_70.png)
当然也可以两个网络可以同时为当前网络和目标网络,如下:
![在这里插入图片描述](assets/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L0pvaG5KaW0w,size_16,color_FFFFFF,t_70-20210328110837146.png)
或者这样更好理解如何同时为当前网络和目标网络:
![在这里插入图片描述](assets/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L0pvaG5KaW0w,size_16,color_FFFFFF,t_70-20210328110837157.png)
## 代码实战
完整程序见[github](https://github.com/JohnJim0816/reinforcement-learning-tutorials/tree/master/DoubleDQN)。结合上面的原理其实Double DQN改进来很简单基本只需要在```update```中修改几行代码,如下:
```python
'''以下是Nature DQN的q_target计算方式
next_q_state_value = self.target_net(
next_state_batch).max(1)[0].detach() # # 计算所有next states的Q'(s_{t+1})的最大值Q'为目标网络的q函数,比如tensor([ 0.0060, -0.0171,...,])
#计算 q_target
#对于终止状态此时done_batch[0]=1, 对应的expected_q_value等于reward
q_target = reward_batch + self.gamma * next_q_state_value * (1-done_batch[0])
'''
'''以下是Double DQNq_target计算方式与NatureDQN稍有不同'''
next_target_values = self.target_net(
next_state_batch)
#选出Q(s_t, a)对应的action代入到next_target_values获得target net对应的next_q_value即Q(s_t|a=argmax Q(s_t, a))
next_target_q_value = next_target_values.gather(1, torch.max(next_q_values, 1)[1].unsqueeze(1)).squeeze(1)
q_target = reward_batch + self.gamma * next_target_q_value * (1-done_batch[0])
```
reward变化结果如下
![在这里插入图片描述](assets/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L0pvaG5KaW0w,size_16,color_FFFFFF,t_70-20210328110837128.png)
其中下边蓝色和红色分别表示Double DQN和Nature DQN在训练中的reward变化图而上面蓝色和绿色则表示Double DQN和Nature DQN在测试中的reward变化图。

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#!/usr/bin/env python
# coding=utf-8
'''
@Author: John
@Email: johnjim0816@gmail.com
@Date: 2020-06-12 00:50:49
@LastEditor: John
LastEditTime: 2021-05-04 22:28:06
@Discription:
@Environment: python 3.7.7
'''
'''off-policy
'''
import torch
import torch.nn as nn
import torch.optim as optim
import random
import math
import numpy as np
from common.memory import ReplayBuffer
from common.model import MLP
class DoubleDQN:
def __init__(self, state_dim, action_dim, cfg):
self.action_dim = action_dim # 总的动作个数
self.device = cfg.device # 设备cpu或gpu等
self.gamma = cfg.gamma
# e-greedy策略相关参数
self.actions_count = 0
self.epsilon_start = cfg.epsilon_start
self.epsilon_end = cfg.epsilon_end
self.epsilon_decay = cfg.epsilon_decay
self.batch_size = cfg.batch_size
self.policy_net = MLP(state_dim, action_dim,hidden_dim=cfg.hidden_dim).to(self.device)
self.target_net = MLP(state_dim, action_dim,hidden_dim=cfg.hidden_dim).to(self.device)
# target_net copy from policy_net
for target_param, param in zip(self.target_net.parameters(), self.policy_net.parameters()):
target_param.data.copy_(param.data)
# self.target_net.eval() # 不启用 BatchNormalization 和 Dropout
# 可查parameters()与state_dict()的区别前者require_grad=True
self.optimizer = optim.Adam(self.policy_net.parameters(), lr=cfg.lr)
self.loss = 0
self.memory = ReplayBuffer(cfg.memory_capacity)
def predict(self,state):
with torch.no_grad():
# 先转为张量便于丢给神经网络,state元素数据原本为float64
# 注意state=torch.tensor(state).unsqueeze(0)跟state=torch.tensor([state])等价
state = torch.tensor(
[state], device=self.device, dtype=torch.float32)
# 如tensor([[-0.0798, -0.0079]], grad_fn=<AddmmBackward>)
q_value = self.policy_net(state)
# tensor.max(1)返回每行的最大值以及对应的下标,
# 如torch.return_types.max(values=tensor([10.3587]),indices=tensor([0]))
# 所以tensor.max(1)[1]返回最大值对应的下标即action
action = q_value.max(1)[1].item()
return action
def choose_action(self, state):
'''选择动作
'''
self.actions_count += 1
self.epsilon = self.epsilon_end + (self.epsilon_start - self.epsilon_end) * \
math.exp(-1. * self.actions_count / self.epsilon_decay)
if random.random() > self.epsilon:
action = self.predict(state)
else:
action = random.randrange(self.action_dim)
return action
def update(self):
if len(self.memory) < self.batch_size:
return
# 从memory中随机采样transition
state_batch, action_batch, reward_batch, next_state_batch, done_batch = self.memory.sample(
self.batch_size)
# convert to tensor
state_batch = torch.tensor(
state_batch, device=self.device, dtype=torch.float)
action_batch = torch.tensor(action_batch, device=self.device).unsqueeze(
1) # 例如tensor([[1],...,[0]])
reward_batch = torch.tensor(
reward_batch, device=self.device, dtype=torch.float) # tensor([1., 1.,...,1])
next_state_batch = torch.tensor(
next_state_batch, device=self.device, dtype=torch.float)
done_batch = torch.tensor(np.float32(
done_batch), device=self.device) # 将bool转为float然后转为张量
# 计算当前(s_t,a)对应的Q(s_t, a)
q_values = self.policy_net(state_batch)
next_q_values = self.policy_net(next_state_batch)
# 代入当前选择的action得到Q(s_t|a=a_t)
q_value = q_values.gather(dim=1, index=action_batch)
'''以下是Nature DQN的q_target计算方式
# 计算所有next states的Q'(s_{t+1})的最大值Q'为目标网络的q函数
next_q_state_value = self.target_net(
next_state_batch).max(1)[0].detach() # 比如tensor([ 0.0060, -0.0171,...,])
# 计算 q_target
# 对于终止状态此时done_batch[0]=1, 对应的expected_q_value等于reward
q_target = reward_batch + self.gamma * next_q_state_value * (1-done_batch[0])
'''
'''以下是Double DQN q_target计算方式与NatureDQN稍有不同'''
next_target_values = self.target_net(
next_state_batch)
# 选出Q(s_t, a)对应的action代入到next_target_values获得target net对应的next_q_value即Q(s_t|a=argmax Q(s_t, a))
next_target_q_value = next_target_values.gather(1, torch.max(next_q_values, 1)[1].unsqueeze(1)).squeeze(1)
q_target = reward_batch + self.gamma * next_target_q_value * (1-done_batch)
self.loss = nn.MSELoss()(q_value, q_target.unsqueeze(1)) # 计算 均方误差loss
# 优化模型
self.optimizer.zero_grad() # zero_grad清除上一步所有旧的gradients from the last step
# loss.backward()使用backpropagation计算loss相对于所有parameters(需要gradients)的微分
self.loss.backward()
for param in self.policy_net.parameters(): # clip防止梯度爆炸
param.grad.data.clamp_(-1, 1)
self.optimizer.step() # 更新模型
def save(self,path):
torch.save(self.target_net.state_dict(), path+'checkpoint.pth')
def load(self,path):
self.target_net.load_state_dict(torch.load(path+'checkpoint.pth'))
for target_param, param in zip(self.target_net.parameters(), self.policy_net.parameters()):
param.data.copy_(target_param.data)

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"cells": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import sys\n",
"from pathlib import Path\n",
"curr_path = str(Path().absolute())\n",
"parent_path = str(Path().absolute().parent)\n",
"sys.path.append(parent_path) # add current terminal path to sys.path"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import gym\n",
"import torch\n",
"import datetime\n",
"from DoubleDQN.agent import DoubleDQN\n",
"from common.plot import plot_rewards\n",
"from common.utils import save_results, make_dir\n",
"\n",
"curr_time = datetime.datetime.now().strftime(\n",
" \"%Y%m%d-%H%M%S\") # obtain current time"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"class DoubleDQNConfig:\n",
" def __init__(self):\n",
" self.algo = \"DoubleDQN\" # name of algo\n",
" self.env = 'CartPole-v0' # env name\n",
" self.result_path = curr_path+\"/outputs/\" + self.env + \\\n",
" '/'+curr_time+'/results/' # path to save results\n",
" self.model_path = curr_path+\"/outputs/\" + self.env + \\\n",
" '/'+curr_time+'/models/' # path to save models\n",
" self.train_eps = 200 # max tranng episodes\n",
" self.eval_eps = 50 # max evaling episodes\n",
" self.gamma = 0.95\n",
" self.epsilon_start = 1 # start epsilon of e-greedy policy\n",
" self.epsilon_end = 0.01 \n",
" self.epsilon_decay = 500\n",
" self.lr = 0.001 # learning rate\n",
" self.memory_capacity = 100000 # capacity of Replay Memory\n",
" self.batch_size = 64\n",
" self.target_update = 2 # update frequency of target net\n",
" self.device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\") # check gpu\n",
" self.hidden_dim = 256 # hidden size of net"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def env_agent_config(cfg,seed=1):\n",
" env = gym.make(cfg.env) \n",
" env.seed(seed)\n",
" state_dim = env.observation_space.shape[0]\n",
" action_dim = env.action_space.n\n",
" agent = DoubleDQN(state_dim,action_dim,cfg)\n",
" return env,agent"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def train(cfg,env,agent):\n",
" print('Start to train !')\n",
" rewards,ma_rewards = [],[]\n",
" for i_ep in range(cfg.train_eps):\n",
" state = env.reset() \n",
" ep_reward = 0\n",
" while True:\n",
" action = agent.choose_action(state) \n",
" next_state, reward, done, _ = env.step(action)\n",
" ep_reward += reward\n",
" agent.memory.push(state, action, reward, next_state, done) \n",
" state = next_state \n",
" agent.update() \n",
" if done:\n",
" break\n",
" if i_ep % cfg.target_update == 0:\n",
" agent.target_net.load_state_dict(agent.policy_net.state_dict())\n",
" if (i_ep+1)%10 == 0:\n",
" print(f'Episode:{i_ep+1}/{cfg.train_eps}, Reward:{ep_reward}')\n",
" rewards.append(ep_reward)\n",
" if ma_rewards:\n",
" ma_rewards.append(\n",
" 0.9*ma_rewards[-1]+0.1*ep_reward)\n",
" else:\n",
" ma_rewards.append(ep_reward) \n",
" print('Complete training')\n",
" return rewards,ma_rewards"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def eval(cfg,env,agent):\n",
" print('Start to eval !')\n",
" print(f'Env:{cfg.env}, Algorithm:{cfg.algo}, Device:{cfg.device}')\n",
" rewards = [] \n",
" ma_rewards = []\n",
" for i_ep in range(cfg.eval_eps):\n",
" state = env.reset() \n",
" ep_reward = 0 \n",
" while True:\n",
" action = agent.predict(state) \n",
" next_state, reward, done, _ = env.step(action) \n",
" state = next_state \n",
" ep_reward += reward\n",
" if done:\n",
" break\n",
" rewards.append(ep_reward)\n",
" if ma_rewards:\n",
" ma_rewards.append(ma_rewards[-1]*0.9+ep_reward*0.1)\n",
" else:\n",
" ma_rewards.append(ep_reward)\n",
" print(f\"Episode:{i_ep+1}/{cfg.eval_eps}, reward:{ep_reward:.1f}\")\n",
" print('Complete evaling')\n",
" return rewards,ma_rewards "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"if __name__ == \"__main__\":\n",
" cfg = DoubleDQNConfig()\n",
" # train\n",
" env,agent = env_agent_config(cfg,seed=1)\n",
" rewards, ma_rewards = train(cfg, env, agent)\n",
" make_dir(cfg.result_path, cfg.model_path)\n",
" agent.save(path=cfg.model_path)\n",
" save_results(rewards, ma_rewards, tag='train', path=cfg.result_path)\n",
" plot_rewards(rewards, ma_rewards, tag=\"train\",\n",
" algo=cfg.algo, path=cfg.result_path)\n",
"\n",
" # eval\n",
" env,agent = env_agent_config(cfg,seed=10)\n",
" agent.load(path=cfg.model_path)\n",
" rewards,ma_rewards = eval(cfg,env,agent)\n",
" save_results(rewards,ma_rewards,tag='eval',path=cfg.result_path)\n",
" plot_rewards(rewards,ma_rewards,tag=\"eval\",env=cfg.env,algo = cfg.algo,path=cfg.result_path)"
]
}
]
}

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#!/usr/bin/env python
# coding=utf-8
'''
@Author: John
@Email: johnjim0816@gmail.com
@Date: 2020-06-12 00:48:57
@LastEditor: John
LastEditTime: 2021-09-10 15:26:05
@Discription:
@Environment: python 3.7.7
'''
import sys,os
curr_path = os.path.dirname(__file__)
parent_path = os.path.dirname(curr_path)
sys.path.append(parent_path) # add current terminal path to sys.path
import gym
import torch
import datetime
from DoubleDQN.agent import DoubleDQN
from common.plot import plot_rewards
from common.utils import save_results, make_dir
curr_time = datetime.datetime.now().strftime(
"%Y%m%d-%H%M%S") # obtain current time
class DoubleDQNConfig:
def __init__(self):
self.algo = "DoubleDQN" # name of algo
self.env = 'CartPole-v0' # env name
self.result_path = curr_path+"/outputs/" + self.env + \
'/'+curr_time+'/results/' # path to save results
self.model_path = curr_path+"/outputs/" + self.env + \
'/'+curr_time+'/models/' # path to save models
self.train_eps = 200 # max tranng episodes
self.eval_eps = 50 # max evaling episodes
self.gamma = 0.95
self.epsilon_start = 1 # start epsilon of e-greedy policy
self.epsilon_end = 0.01
self.epsilon_decay = 500
self.lr = 0.001 # learning rate
self.memory_capacity = 100000 # capacity of Replay Memory
self.batch_size = 64
self.target_update = 2 # update frequency of target net
self.device = torch.device("cuda" if torch.cuda.is_available() else "cpu") # check gpu
self.hidden_dim = 256 # hidden size of net
def env_agent_config(cfg,seed=1):
env = gym.make(cfg.env)
env.seed(seed)
state_dim = env.observation_space.shape[0]
action_dim = env.action_space.n
agent = DoubleDQN(state_dim,action_dim,cfg)
return env,agent
def train(cfg,env,agent):
print('Start to train !')
rewards,ma_rewards = [],[]
for i_ep in range(cfg.train_eps):
state = env.reset()
ep_reward = 0
while True:
action = agent.choose_action(state)
next_state, reward, done, _ = env.step(action)
ep_reward += reward
agent.memory.push(state, action, reward, next_state, done)
state = next_state
agent.update()
if done:
break
if i_ep % cfg.target_update == 0:
agent.target_net.load_state_dict(agent.policy_net.state_dict())
print(f'Episode:{i_ep+1}/{cfg.train_eps}, Reward:{ep_reward},Epsilon:{agent.epsilon:.2f}')
rewards.append(ep_reward)
if ma_rewards:
ma_rewards.append(
0.9*ma_rewards[-1]+0.1*ep_reward)
else:
ma_rewards.append(ep_reward)
print('Complete training')
return rewards,ma_rewards
def eval(cfg,env,agent):
print('Start to eval !')
print(f'Env:{cfg.env}, Algorithm:{cfg.algo}, Device:{cfg.device}')
rewards = []
ma_rewards = []
for i_ep in range(cfg.eval_eps):
state = env.reset()
ep_reward = 0
while True:
action = agent.predict(state)
next_state, reward, done, _ = env.step(action)
state = next_state
ep_reward += reward
if done:
break
rewards.append(ep_reward)
if ma_rewards:
ma_rewards.append(ma_rewards[-1]*0.9+ep_reward*0.1)
else:
ma_rewards.append(ep_reward)
print(f"Episode:{i_ep+1}/{cfg.eval_eps}, reward:{ep_reward:.1f}")
print('Complete evaling')
return rewards,ma_rewards
if __name__ == "__main__":
cfg = DoubleDQNConfig()
# 训练
env,agent = env_agent_config(cfg,seed=1)
rewards, ma_rewards = train(cfg, env, agent)
make_dir(cfg.result_path, cfg.model_path)
agent.save(path=cfg.model_path)
save_results(rewards, ma_rewards, tag='train', path=cfg.result_path)
plot_rewards(rewards, ma_rewards, tag="train",
algo=cfg.algo, path=cfg.result_path)
# 测试
env,agent = env_agent_config(cfg,seed=10)
agent.load(path=cfg.model_path)
rewards,ma_rewards = eval(cfg,env,agent)
save_results(rewards,ma_rewards,tag='eval',path=cfg.result_path)
plot_rewards(rewards,ma_rewards,tag="eval",env=cfg.env,algo = cfg.algo,path=cfg.result_path)