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OpenAI Gym Reacher
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Proximal Policy Optimization: Reacher-v1\n", | |
| "\n", | |
| "By Patrick Coady: [Learning Artificial Intelligence](https://learningai.io/)\n", | |
| "\n", | |
| "## Summary\n", | |
| "\n", | |
| "The same learning algorithm was used to train agents for each of the ten OpenAI Gym MuJoCo continuous control environments. The only difference between evaluations was the number of episodes used for training, otherwise all options were the same. The code is available in the [GitHub repository](https://github.com/pat-coady/trpo/tree/aigym_evaluation). The exact code used to generate the submissions is in the **`aigym_evaluation`** branch.\n", | |
| "\n", | |
| "The README.md file in the GitHub repository provides additional details on the algorithm and usage instructions. Also, the code was written to be understandable and easily modifiable. \n", | |
| "\n", | |
| "Here are the key points:\n", | |
| "\n", | |
| "* Proximal Policy Optimization (similar to TRPO, but uses gradient descent with KL loss terms) \\[1\\] \\[2\\]\n", | |
| "* Value function approximated with 3 hidden-layer NN (tanh activations):\n", | |
| " * hid1 size = obs_dim x 10\n", | |
| " * hid2 size = geometric mean of hid1 and hid3 sizes\n", | |
| " * hid3 size = 5\n", | |
| "* Policy is a multi-variate Gaussian parameterized by a 3 hidden-layer NN (tanh activations):\n", | |
| " * hid1 size = obs_dim x 10\n", | |
| " * hid2 size = geometric mean of hid1 and hid3 sizes\n", | |
| " * hid3 size = action_dim x 10\n", | |
| " * Diagonal covariance matrix variables are separate from the NN\n", | |
| "* Generalized Advantage Estimation (gamma = 0.995, lambda = 0.98) \\[3\\] \\[4\\]\n", | |
| "* ADAM optimizer used for both neural networks\n", | |
| "* Policy is evaluated for **50** episodes, and then updated\n", | |
| "* Value function is trained on current batch + previous batch\n", | |
| "* Policy and Value NNs built with TensorFlow\n", | |
| "\n", | |
| "**Below you will find various training curves for this environment.**\n", | |
| "\n", | |
| "### References\n", | |
| "\n", | |
| "1. [Trust Region Policy Optimization](https://arxiv.org/pdf/1502.05477.pdf) (Schulman et al., 2016)\n", | |
| "2. [Emergence of Locomotion Behaviours in Rich Environments](https://arxiv.org/pdf/1707.02286.pdf) (Heess et al., 2017)\n", | |
| "3. [High-Dimensional Continuous Control Using Generalized Advantage Estimation](https://arxiv.org/pdf/1506.02438.pdf) (Schulman et al., 2016)\n", | |
| "4. [GitHub Repository with several helpful implementation ideas](https://github.com/joschu/modular_rl) (Schulman)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# ENTER LIST OF LOG FILENAMES HERE:\n", | |
| "filepaths = ['../src/log-files/Reacher-v1/Jul-26_23:30:06/log.csv']" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import pandas as pd\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "from plotting import df_plot\n", | |
| "%matplotlib inline\n", | |
| "plt.rcParams[\"figure.figsize\"] = (10,5)\n", | |
| "plt.style.use('ggplot')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Jul-26_23:30:06: Maximum 100 Episode Average = -3.52 around Episode 52650\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "dataframes = []\n", | |
| "names = []\n", | |
| "for filepath in filepaths:\n", | |
| " names.append(filepath.split('/')[-2])\n", | |
| " dataframes.append(pd.read_csv(filepath))\n", | |
| "data = list(zip(dataframes, names))\n", | |
| "for df, name in data:\n", | |
| " ma = np.convolve(df['_MeanReward'], np.ones((5,))/5, mode='valid')\n", | |
| " print('{}: Maximum 100 Episode Average = {:.3g} around Episode {}'\n", | |
| " .format(name, np.max(ma), np.argmax(ma) * 50))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Training Curves" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
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hYQwcONC7TYMElc3cj/vUMEyva73p6W9irhuEXb0CU68RJqYWAMbxBbNMERER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\nxIFjkXdrryLvwzf50xPe1lrLkCFDCA8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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c3935ec88>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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HQY2IyG7MaUTkJwY1IiLbMakRkX8Y1IiI7MaTCYjITwxqREREREGKQY2IyG4sqBGRnxjU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\nbdogKyuL7W6z+s57PRYXF8PhcEAphZSUFOsWdQM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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c3935ebe0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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o2rz0uH0JBdHlKgCA9shzENcNVkslpJ+BTD8D4We/orFdJ9eyzSFqMvsJddWg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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c3929cf60>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Mean Reward, D_KL(pi_old || pi_new), and Value Function Explained Variance\n", | |
| "df_plot(data, '_Episode', ['_MeanReward'])\n", | |
| "df_plot(data, '_Episode', ['KL'], ylim=(0,0.2))\n", | |
| "df_plot(data, '_Episode', ['ExplainedVarOld'], ylim=(0,1))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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Vq1adciq1pDjXRQ1bt24NrNdWkq6W/FGpOjV5Mmst9t2/Yld/gvPwGExsfBArK5t0GiH0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\nAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c3935e748>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Policy Entropy\n", | |
| "df_plot(data, '_Episode', ['PolicyEntropy'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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oaHz0ULZErq2tDWPGjHHPNTvuuOPQ0tLiC7DX0tLiBhKcPHky5s+f77u37777ukd+fOSg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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c390fa940>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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wcudOx2rfDeVVehnXMTvQh/ajY3dBylHsFx837yfEovf+AOGNUZ1vRP+wyVxP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\n9glx8k1c3b7b2AxS4D5iRERE9MNoVMKP7tZIvUXRHjGTToVfD7TjVxk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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c390f3ef0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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QwpiIiIiIhxTGRERERDykMCYiIiLiIYUxEREREQ8pjImIiIh4SGFMRERExEMKYyIiIiIe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\nEGEMAADAIcIYAACAQ4QxAAAAhz4BQ7EJy/t7Z4cAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c390a1b38>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Observations Statistics (after scaling)\n", | |
| "df_plot(data, '_Episode', ['_mean_obs'])\n", | |
| "df_plot(data, '_Episode', ['_max_obs', '_min_obs'], ylim=(-5, 5))\n", | |
| "df_plot(data, '_Episode', ['_std_obs'], ylim=(0, 0.5))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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VlZUUFhYyaNCgkMczMjJISUnh4Ycf5p577lEf37BhA5MnTw45d8OGDaSnpzN06FAOHjzI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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c391007b8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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MZvNUVFTQp08fAFatWkV6ejoAu3btIikpCcdx2LZtGxUVFfTu3fuwdRxpgw6cWuwOHklT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\nF3XcmoiISBi1GNRKS0tJT08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4r2/gjZjv/Bx2VB951DytD/TJwjnvUuyaYuz7b3v9Se/r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\ncmpcLAAAAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c3804f630>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Actions Statistics\n", | |
| "df_plot(data, '_Episode', ['_mean_act', '_max_act', '_min_act'])\n", | |
| "df_plot(data, '_Episode', ['_std_act'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": { | |
| "scrolled": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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wViIiIiKNjYJcY7djG0S3wAweFu5KREREpJFRkGukrLXYzz5yj0jtczqea28O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\nppiYGO6///5a27Rs2ZKrr76avn37Mn/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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c337f6160>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
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YlW9i/vF3QS5KREREpPuFfLBzLv4ljvy5gWVzwzqs558KYkUiIiIiPSPkg91p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\nrkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c392f5518>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Discounted Reward Statistics\n", | |
| "df_plot(data, '_Episode', ['_mean_discrew'])\n", | |
| "df_plot(data, '_Episode', ['_std_discrew'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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U5BSJiYlRvW2mmttPNbefam4/1Xx4lJSUhH9PT08nPT190H32G+xSU1NpbGyk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\nvv0vmGBwGEYpIiIiMjScFew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=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c3912d278>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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koKioCDabDZqmoaqqqtneNYfDAYfD4X2clZXFU7dDLDIykjUPMdY89Fqj5sUAjAYDzO10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\nQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c393213c8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Policy and Value Function Training Loss\n", | |
| "df_plot(data, '_Episode', ['ValFuncLoss'])\n", | |
| "df_plot(data, '_Episode', ['PolicyLoss'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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N2bNnY9CgQcjIyKgz/qtXr17o27cvVqxYgY0bNyImJgYOh0Oxj8PhQGxsrObv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\n+LQ2Tdtob+Jrb+u7srVEleHci3PIReyiYrfPzZAgnzSCIGYfa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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c39172780>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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EwA7vJj+oGDhAulEBKc7s5BcAtTUQJSusfYGgs16cX1N7NbceA7/yVxCl8vsv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\n73cCQf/whz9gypQp6N27t7maN0EQxNFCPDcLXABTmYlMpBtbXAq0SgG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QMZJumzhhGwS7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\nBEEQBEEQBcb/D7DgETFE0Y9/AAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f0c3375bbe0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Actions Statistics\n", | |
| "df_plot(data, '_Episode', ['_mean_adv', '_max_adv', '_min_adv'])\n", | |
| "df_plot(data, '_Episode', ['_std_adv'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "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": "3.5.2" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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