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@iamirmasoud
Created April 2, 2023 13:09
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REINFORCE Algorithm for Policy-Gradient methods
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "40Yb47zJQglm"
},
"source": [
"# REINFORCE Algorithm\n",
"\n",
"See the following post for details:\n",
"\n",
"[REINFORCE Algorithm explained in Policy-Gradient based methods with Python Code](https://www.sefidian.com/2021/10/01/policy-g/)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Q40Fa7qM4_lE"
},
"source": [
"Import packages"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"id": "FA1Y5VCv20XZ"
},
"outputs": [],
"source": [
"import numpy as np\n",
"import torch\n",
"import gym\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "JKCArPYvBkYi"
},
"source": [
"\n",
"OpenAI Gym's Cartpole Environment"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "_3_4zOdQBl2g",
"outputId": "5bcd377f-62e2-4a3c-e6a8-1fbdcc2f4c33"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"observation space: Box(-3.4028234663852886e+38, 3.4028234663852886e+38, (4,), float32)\n",
"action space: Discrete(2)\n",
"threshold: 195.0\n"
]
}
],
"source": [
"env = gym.make('CartPole-v0')\n",
"print('observation space:', env.observation_space)\n",
"print('action space:', env.action_space)\n",
"print('threshold: ', env.spec.reward_threshold)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "NJC916BU-9L6"
},
"source": [
"\n",
"Model"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "gRVXyg9A1zQh",
"outputId": "aa498166-4008-461a-c82a-9eab5b49b083"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Sequential(\n",
" (0): Linear(in_features=4, out_features=256, bias=True)\n",
" (1): ReLU()\n",
" (2): Linear(in_features=256, out_features=2, bias=True)\n",
" (3): Softmax(dim=0)\n",
")\n"
]
}
],
"source": [
"obs_size = env.observation_space.shape[0] \n",
"n_actions = env.action_space.n \n",
"HIDDEN_SIZE = 256\n",
"\n",
"model = torch.nn.Sequential(\n",
" torch.nn.Linear(obs_size, HIDDEN_SIZE),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(HIDDEN_SIZE, n_actions),\n",
" torch.nn.Softmax(dim=0)\n",
" )\n",
"\n",
"print (model)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "e8R55NgQL4EC"
},
"source": [
"The REINFORCE training loop"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "dpKP6IpZEmwK",
"outputId": "845cbceb-21a0-46ed-c864-7efcd980ba76"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Trajectory 50\tAverage Score: 52.06\n",
"Trajectory 100\tAverage Score: 68.86\n",
"Trajectory 150\tAverage Score: 130.10\n",
"Trajectory 200\tAverage Score: 150.29\n",
"Trajectory 250\tAverage Score: 157.27\n",
"Trajectory 300\tAverage Score: 173.96\n",
"Trajectory 350\tAverage Score: 173.04\n",
"Trajectory 400\tAverage Score: 182.08\n",
"Trajectory 450\tAverage Score: 192.27\n"
]
}
],
"source": [
"learning_rate = 0.003\n",
"optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)\n",
"\n",
"Horizon = 500\n",
"MAX_TRAJECTORIES = 500\n",
"gamma = 0.99\n",
"score = [] \n",
"\n",
"for trajectory in range(MAX_TRAJECTORIES):\n",
" curr_state = env.reset()\n",
" done = False\n",
" transitions = [] \n",
" \n",
" for t in range(Horizon):\n",
" act_prob = model(torch.from_numpy(curr_state).float())\n",
" action = np.random.choice(np.array([0,1]), p=act_prob.data.numpy())\n",
" prev_state = curr_state\n",
" curr_state, _, done, info = env.step(action) \n",
" transitions.append((prev_state, action, t+1)) \n",
" if done: \n",
" break\n",
" score.append(len(transitions))\n",
" reward_batch = torch.Tensor([r for (s,a,r) in transitions]).flip(dims=(0,)) \n",
"\n",
" batch_Gvals =[]\n",
" for i in range(len(transitions)):\n",
" new_Gval=0\n",
" power=0\n",
" for j in range(i,len(transitions)):\n",
" new_Gval=new_Gval+((gamma**power)*reward_batch[j]).numpy()\n",
" power+=1\n",
" batch_Gvals.append(new_Gval)\n",
" expected_returns_batch=torch.FloatTensor(batch_Gvals)\n",
" \n",
" \n",
" expected_returns_batch /= expected_returns_batch.max()\n",
"\n",
" state_batch = torch.Tensor([s for (s,a,r) in transitions]) \n",
" action_batch = torch.Tensor([a for (s,a,r) in transitions]) \n",
"\n",
" pred_batch = model(state_batch) \n",
" prob_batch = pred_batch.gather(dim=1,index=action_batch.long().view(-1,1)).squeeze() \n",
" \n",
" loss = - torch.sum(torch.log(prob_batch) * expected_returns_batch) \n",
" \n",
" optimizer.zero_grad()\n",
" loss.backward()\n",
" optimizer.step()\n",
"\n",
" if trajectory % 50 == 0 and trajectory>0:\n",
" print('Trajectory {}\\tAverage Score: {:.2f}'.format(trajectory, np.mean(score[-50:-1])))"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "YxYkuflPMMmm"
},
"source": [
"Plot the Scores"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 462
},
"id": "7rgUGdvsI_KC",
"outputId": "e5c5f5a8-a7eb-4c6a-9963-b8a69a52db98"
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fe2ad197c18>"
]
},
"execution_count": 5,
"metadata": {
"tags": []
},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light",
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"def running_mean(x):\n",
" N=50\n",
" kernel = np.ones(N)\n",
" conv_len = x.shape[0]-N\n",
" y = np.zeros(conv_len)\n",
" for i in range(conv_len):\n",
" y[i] = kernel @ x[i:i+N]\n",
" y[i] /= N\n",
" return y\n",
"\n",
"\n",
"score = np.array(score)\n",
"avg_score = running_mean(score)\n",
"\n",
"plt.figure(figsize=(15,7))\n",
"plt.ylabel(\"Trajectory Duration\",fontsize=12)\n",
"plt.xlabel(\"Training Epochs\",fontsize=12)\n",
"plt.plot(score, color='gray' , linewidth=1)\n",
"plt.plot(avg_score, color='blue', linewidth=3)\n",
"plt.scatter(np.arange(score.shape[0]),score, color='green' , linewidth=0.3)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9R3_QsYSBzYn"
},
"source": [
"Render Cartpole Environment"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "kgpHXywd5SyZ",
"outputId": "87020750-5157-43e5-f8e4-814699de88e9"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
":1005\n"
]
}
],
"source": [
"# Configuration the image rendering in colab\n",
"\n",
"# Taken from \n",
"# https://towardsdatascience.com/rendering-openai-gym-envs-on-binder-and-google-colab-536f99391cc7\n",
"\n",
"!apt-get install -y xvfb x11-utils &> /dev/null\n",
"\n",
"!pip install pyvirtualdisplay==0.2.* \\\n",
" PyOpenGL==3.1.* \\\n",
" PyOpenGL-accelerate==3.1.* &> /dev/null\n",
"\n",
"!pip install gym[box2d]==0.17.* &> /dev/null\n",
"\n",
"# Taken from https://github.com/actions/virtual-environments/issues/214\n",
"!sudo apt-get update &> /dev/null \n",
"!sudo apt-get install xvfb --fix-missing &> /dev/null\n",
"\n",
"import pyvirtualdisplay\n",
"\n",
"_display = pyvirtualdisplay.Display(visible=False, size=(1400, 900))\n",
"_ = _display.start()\n",
"\n",
"!echo $DISPLAY # sanity checking: should be set to some value (e.g. 1005)\n",
"\n",
"from IPython import display"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"id": "k0C85qx0L1VV",
"outputId": "ec238b2f-83b5-40ea-e4ca-9ed8324eeb6f"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reward: 200.0\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light",
"tags": []
},
"output_type": "display_data"
}
],
"source": [
"def watch_agent():\n",
" env = gym.make('CartPole-v0')\n",
" state = env.reset()\n",
" rewards = []\n",
" img = plt.imshow(env.render(mode='rgb_array'))\n",
" for t in range(2000):\n",
" pred = model(torch.from_numpy(state).float())\n",
" action = np.random.choice(np.array([0,1]), p=pred.data.numpy())\n",
"\n",
" img.set_data(env.render(mode='rgb_array')) \n",
" plt.axis('off')\n",
" display.display(plt.gcf())\n",
" display.clear_output(wait=True)\n",
"\n",
" state, reward, done, _ = env.step(action)\n",
" rewards.append(reward)\n",
" if done:\n",
" print(\"Reward:\", sum([r for r in rewards]))\n",
" break \n",
" env.close()\n",
"\n",
"watch_agent()"
]
}
],
"metadata": {
"accelerator": "GPU",
"colab": {
"collapsed_sections": [],
"name": "DRL_19_REINFORCE_Algorithm.ipynb",
"provenance": []
},
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.8.16"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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