{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# REINFORCE on CartPole-v0\n", "\n", "> In this post, We will take a hands-on-lab of Monte Carlo Policy Gradient (also known as REINFORCE) on openAI gym CartPole-v0 environment. This is the coding exercise from udacity Deep Reinforcement Learning Nanodegree.\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- author: Chanseok Kang\n", "- categories: [Python, Reinforcement_Learning, PyTorch, Udacity]\n", "- image: images/CartPole-v0.gif" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## REINFORCE\n", "---\n", "In this notebook, you will implement REINFORCE agent on OpenAI Gym's CartPole-v0 environment. For summary, The **REINFORCE** algorithm ([Williams, 1992](https://link.springer.com/content/pdf/10.1007/BF00992696.pdf)) is a monte carlo variation of policy gradient algorithm in RL. The agent collects the trajectory of an episode from current policy. Usually, this policy depends on the policy parameter which denoted as $\\theta$. Actually, REINFORCE is acronym for \"**RE**ward **I**ncrement = **N**onnegative **F**actor * **O**ffset **R**einforcement * **C**haracteristic **E**ligibility\"\n", "\n", "### Import the Necessary Packages" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import gym\n", "import numpy as np\n", "from collections import deque\n", "import matplotlib.pyplot as plt\n", "plt.rcParams['figure.figsize'] = (16, 10)\n", "\n", "import torch\n", "import torch.nn as nn\n", "import torch.nn.functional as F\n", "import torch.optim as optim\n", "from torch.distributions import Categorical\n", "torch.manual_seed(0)\n", "\n", "import base64, io\n", "\n", "# For visualization\n", "from gym.wrappers.monitoring import video_recorder\n", "from IPython.display import HTML\n", "from IPython import display \n", "import glob" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "device(type='cuda', index=0)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n", "device" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Instantiate the Environment and Agent\n", "\n", "CartPole environment is very simple. It has discrete action space (2) and 4 dimensional state space. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observation space: Box(-3.4028234663852886e+38, 3.4028234663852886e+38, (4,), float32)\n", "action space: Discrete(2)\n" ] } ], "source": [ "env = gym.make('CartPole-v0')\n", "env.seed(0)\n", "\n", "print('observation space:', env.observation_space)\n", "print('action space:', env.action_space)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define Policy\n", "Unlike value-based method, the output of policy-based method is the probability of each action. It can be represented as policy. So activation function of output layer will be softmax, not ReLU." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "class Policy(nn.Module):\n", " def __init__(self, state_size=4, action_size=2, hidden_size=32):\n", " super(Policy, self).__init__()\n", " self.fc1 = nn.Linear(state_size, hidden_size)\n", " self.fc2 = nn.Linear(hidden_size, action_size)\n", " \n", " def forward(self, state):\n", " x = F.relu(self.fc1(state))\n", " x = self.fc2(x)\n", " # we just consider 1 dimensional probability of action\n", " return F.softmax(x, dim=1)\n", " \n", " def act(self, state):\n", " state = torch.from_numpy(state).float().unsqueeze(0).to(device)\n", " probs = self.forward(state).cpu()\n", " model = Categorical(probs)\n", " action = model.sample()\n", " return action.item(), model.log_prob(action)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### REINFORCE" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def reinforce(policy, optimizer, n_episodes=1000, max_t=1000, gamma=1.0, print_every=100):\n", " scores_deque = deque(maxlen=100)\n", " scores = []\n", " for e in range(1, n_episodes):\n", " saved_log_probs = []\n", " rewards = []\n", " state = env.reset()\n", " # Collect trajectory\n", " for t in range(max_t):\n", " # Sample the action from current policy\n", " action, log_prob = policy.act(state)\n", " saved_log_probs.append(log_prob)\n", " state, reward, done, _ = env.step(action)\n", " rewards.append(reward)\n", " if done:\n", " break\n", " # Calculate total expected reward\n", " scores_deque.append(sum(rewards))\n", " scores.append(sum(rewards))\n", " \n", " # Recalculate the total reward applying discounted factor\n", " discounts = [gamma ** i for i in range(len(rewards) + 1)]\n", " R = sum([a * b for a,b in zip(discounts, rewards)])\n", " \n", " # Calculate the loss \n", " policy_loss = []\n", " for log_prob in saved_log_probs:\n", " # Note that we are using Gradient Ascent, not Descent. So we need to calculate it with negative rewards.\n", " policy_loss.append(-log_prob * R)\n", " # After that, we concatenate whole policy loss in 0th dimension\n", " policy_loss = torch.cat(policy_loss).sum()\n", " \n", " # Backpropagation\n", " optimizer.zero_grad()\n", " policy_loss.backward()\n", " optimizer.step()\n", " \n", " if e % print_every == 0:\n", " print('Episode {}\\tAverage Score: {:.2f}'.format(e, np.mean(scores_deque)))\n", " if np.mean(scores_deque) >= 195.0:\n", " print('Environment solved in {:d} episodes!\\tAverage Score: {:.2f}'.format(e - 100, np.mean(scores_deque)))\n", " break\n", " return scores" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Episode 100\tAverage Score: 20.22\n", "Episode 200\tAverage Score: 41.21\n", "Episode 300\tAverage Score: 85.37\n", "Episode 400\tAverage Score: 91.89\n", "Episode 500\tAverage Score: 143.20\n", "Episode 600\tAverage Score: 125.37\n", "Episode 700\tAverage Score: 122.81\n", "Episode 800\tAverage Score: 103.71\n", "Episode 900\tAverage Score: 160.88\n", "Episode 1000\tAverage Score: 126.33\n", "Episode 1100\tAverage Score: 111.43\n", "Environment solved in 1070 episodes!\tAverage Score: 195.44\n" ] } ], "source": [ "policy = Policy().to(device)\n", "optimizer = optim.Adam(policy.parameters(), lr=1e-2)\n", "scores = reinforce(policy, optimizer, n_episodes=2000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the learning progress" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the scores\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "plt.plot(np.arange(1, len(scores)+1), scores)\n", "plt.ylabel('Score')\n", "plt.xlabel('Episode #')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Animate it with Video" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "def show_video(env_name):\n", " mp4list = glob.glob('video/*.mp4')\n", " if len(mp4list) > 0:\n", " mp4 = 'video/{}.mp4'.format(env_name)\n", " video = io.open(mp4, 'r+b').read()\n", " encoded = base64.b64encode(video)\n", " display.display(HTML(data=''''''.format(encoded.decode('ascii'))))\n", " else:\n", " print(\"Could not find video\")\n", " \n", "def show_video_of_model(policy, env_name):\n", " env = gym.make(env_name)\n", " vid = video_recorder.VideoRecorder(env, path=\"video/{}.mp4\".format(env_name))\n", " state = env.reset()\n", " done = False\n", " for t in range(1000):\n", " vid.capture_frame()\n", " action, _ = policy.act(state)\n", " next_state, reward, done, _ = env.step(action)\n", " state = next_state\n", " if done:\n", " break\n", " vid.close()\n", " env.close()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "show_video_of_model(policy, 'CartPole-v0')" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_video('CartPole-v0')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }