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OpenAI Gym Ant (Quadruped)
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Proximal Policy Optimization: Ant-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 20 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/Ant-v1/Jul-27_19:36:59/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-27_19:36:59: Maximum 100 Episode Average = 6.09e+03 around Episode 73600\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)*20))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Training Curves" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
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0dJlt8eKLLyIrKwu9evXC7Nmzdbe2uZaErEhfaDXkuAKIAJPJhKtXr17ralQ7bBd9bBd9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\n8U958aWc+Ke8+Ke8+Ldx48ZWdUxbFHRwmbc0ef/991m3bh1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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d2cea20>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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RERER6RQDNSIiIiKdYqBGREREpFMM1IiIiIh0ioEaERERkU4xUCMiIiLSKQZqRERERDrF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\nw+DQicCRaeJIGCb/FejVD8olYWo+mgS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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d2ce978>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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G/sXse/hlhDQrFuiuYe09csBQhGIpRYzH0qZw74VmUIyRhsvXy4AVX2Sm7kYe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\nZWV07tyZl156CQcHBwwGA/Hx8Zw/fx5XV1fmzp2Ll5cXACkpKezfvx8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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d19fe10>" | |
| ] | |
| }, | |
| "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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khGlGTMoVp0NXnKFPYrdvwZ36NDZvn9cliYiInDAFMSl3TPVInCEPY6qG4z5x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\nva3pN34AAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d2ce5f8>" | |
| ] | |
| }, | |
| "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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3yw8o3fsbTOOmoyTzd4Ql3qDJL4mKRj6AyPBwFLrpJzw8AkVBG3VwMZlMcAre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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d20dac8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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FwO1bQEYaIAjgp44BPr4Wj9Oz7n2lwSL/PAQ2bBzYf/pC/GS+YYWL56SgST8k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\nPwpv3Z7cek8gkWBYeFO8uGbt+XGJWH+Ho39opIqf6rO51cx6cGgs0rR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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d110e48>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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AAC4ijAEAALiIMAYAAOAiwhgAAICLCGMAAAAuIowBAAC4iDAGAADgIsIYAACAiwhjAAAA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\nRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d187438>" | |
| ] | |
| }, | |
| "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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2NlatWgVPT08ugDx69Ciys7ORkJBg71fSIYjb+wIcodLqoNGxuF6jxP09PCF0IO0orVTg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BTgkUcewezZswHoW02+8MILeP/99xEMBuHxeHDvvfdi7dq1AJRWk8899xyamppQUVGBhx9+WNdq\n8je/+Q0uXLigtZoMBAJ47LHHACiNBV544QVcunQJgiCguroaf//3f4/i4uL8JBYh5IZFgRghZFjZ\nvXs3du3ahe9973v53hRCCBl0VDRJCCGEEJInFIgRQgghhOQJFU0SQgghhOQJ5YgRQgghhOQJBWKE\nEEIIIXlCgRghhBBCSJ5QIEYIIYQQkicUiBFCCCGE5AkFYoQQQgghefL/AVI3HoJt2kdkAAAAAElF\nTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0cfcadd8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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cjDEuxhgXPYvFgvj4+Dq5drVj1KKjo5GTk4Pc3FyUlJQgJSUFffr0caqTk5Pj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\nTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d0fc198>" | |
| ] | |
| }, | |
| "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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umZOieavC9+Qq6txFPea3Jp0ciCkKRFmflUhUSgzEiIgcIKWEzMmGPLhHe7tx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\nX8cWn05N1tTUEBsbS3R0NEFBQaSnp3PmzBlfVsE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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0cff3cc0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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eX+i1tQiH/HpNOHeHeFuA+3wNryY6I283q4X2My4fWDAXAzIiogQky+z7COp+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\nLoteQNhqIX3e6Zu1aROcNJi2UYfOqADQ6KbJSO1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343pQn5RhvaIhIhpj1guYT0z68fts\ndVvFZNnevqghv0B/+r5rnSIH3o8/TXHkHZhvLkX1GYDx819aY7VMs9rrH3RRIcrb54ZfqbMugG8b\n8PbBnPpLjFc3o999E73n/wAwXlwH/kFw/jTm4jm16obtjQ/RBfkovza31v8fQU4Q1UlMaiZxqZnE\npWYSl+okJjWrz4TsprcsMzIyCAsLo23btgAMGjSIffv2VUnI9u3bx4QJ1hQ2AwYMYP369fXU3AZ2\n7X1ZZ76pm2QMKpIxgCJHRTL23TpA0dqXK5qQfhTz5HH0/t0AqAlT4Js0dGEBxi8fwHz5aeh9Fxw9\nBDE94Ngh1JTZqNt8MBMXQuxAOJBcpQnm0mfhzDcV688+dtNmq9ET0P+9BWPxG1aiCg2ajAkhhBDN\n2U0TMrvdTnBwsGs9KCiIjIyM69YxDAMfHx8cDge+vr43b0HPfpC631r2bYNt+SZ0WSnmtPtvoRtV\nqQcTKm5XNjHqrmHor3ZWKbuWjAHoLRXJrpn2tbVw+Cvr72OHrDrrl1e8cuJ7yRhQJRlT98eh39tY\nrYoxZzEEt4WyUsx3XrMejPhuLJ4QQggh6la9DOqvxbA0F2PEGHRoGOrOu6GlNa5KtWiJGj8Z1aU7\ndOwEWRcw1yxC3Xc/lJagP3wH/AIg6zyEhmPMeA60iU7ejr5wBtVvMPrD/4S83IrvmT0fc/nz0HcA\nHPoCevXHuD8O87l46ztH/qs1qfV31C9+Zb2g9MudqAH3WLf9MtOtD8Nuh2/PQtv2kHPx+n17YgHm\nsj9Z+5s4Bf1u1SuHauoc9OtLUPdPRr+3ATXuQYz77scWFEzp/7xfte7DT8LRQ+i921EjxkBRITjL\nUXcPx3z1zxDTHdVngPXQwekT0LUX5GahIruCj681hq6sFHP3/2LcNQxu8wb/QAi7HRV1B/j4osIj\nauyH7YkFtfvHFEIIIcQPctMxZOnp6WzdupVnn30WgA8++ACgysD+RYsWMX78eLp06YJpmkydOpU3\n33yz2r6OHj3K0aNHXevXbnMKIYQQQjQFW7ZscS13796d7t2718l+bzqXZefOnbl48SI5OTmUl5ez\nZ88e+vWrOhA/NjaWnTut22x79+6lR48eNe2K7t27M2HCBNefyp0SFSQuNZO4VCcxqZnEpWYSl5pJ\nXKqTmNRsy5YtVfKYukrGoBa3LA3DYMqUKSxcuBCtNSNGjKBjx45s2bKF6OhoYmNjGTFiBKtWrWLG\njBn4+fkxc+bMOmugEEIIIURzV6sxZH369GHlypVVyirfbmzRogVPPPFE3bZMCCGEEMJD2F544YUX\n3NmA0NBQd359oyVxqZnEpTqJSc0kLjWTuNRM4lKdxKRm9RWXWr2pXwghhBBC1J+bDuoXQgghhBD1\nSxIyIYQQQgg3q5cXw9bGzSYsb+rWrl3LwYMH8ff3Z+nSpQA4HA5WrFhBTk4OoaGhzJ49G29vbwDe\neustUlJSaNWqFfHx8XTq1AmApKQktm2zJjAfN24cw4YNA+DkyZOsWbOGsrIy+vbtS1xcXIP38YfI\nzc0lMTGRK1euoJRi5MiRjBo1yuNjU1ZWxvPPP095eTlOp5MBAwYwfvx4srOzWblyJQ6Hg8jISKZP\nn47NZqO8vJzExEROnjyJn58fs2fPJiQkBIBt27axY8cObDYbcXFx9O7dG2i6x5xpmsydO5egoCCe\nfvppiQkQHx+Pt7c3SilsNhuLFy/2+GMIoKioiHXr1nH27FmUUjz++OOEhYV5dFwuXLjAihUrUEqh\ntSYrK4uJEycydOhQj47Lxx9/zI4dO1BKERERwbRp07Db7e49t2g3cDqdOiEhQWdnZ+uysjL91FNP\n6XPnzrmjKfXmn//8p87MzNRPPvmkq+ztt9/WH3zwgdZa623btulNmzZprbU+ePCgXrRokdZa6/T0\ndD1v3jyttdYFBQU6ISFBFxYWaofD4VrWWuu5c+fqEydOaK21XrRokT506FCD9e3HuHz5ss7MzNRa\na3316lU9Y8YMfe7cOYmN1rq4uFhrbR0f8+bN0+np6XrZsmU6OTlZa63166+/rj/77DOttdaffvqp\nfuONN7TWWu/Zs0cvX75ca6312bNn9Zw5c3R5ebnOysrSCQkJ2jTNJn3MffTRR3rlypX6pZde0lpr\niYnWOj4+XhcUFFQpk2NI68TERL19+3attdbl5eW6sLBQ4lKJ0+nUU6dO1Tk5OR4dl9zcXB0fH6/L\nysq01tY5ZceOHW4/t7jllmXlCcu9vLxcE5Y3J3fccQc+Pj5Vyvbv3+/6jeKee+5h/35rDs99+/a5\nyrt06UJRURF5eXkcPnyYXr164e3tjY+PD7169SIlJYW8vDyuXr1K586dARg6dGiTiV9AQIDrt63W\nrVvToUMHcnNzJTZAq1bW1GFlZWU4nU6UUhw9epSf/vSnAAwbNszVl8pxGTBgAEeOHAGsn7GBAwdi\ns9kIDQ0lLCyMjIyMJnvM5ebmcujQIUaOHOkqO3LkiEfHBKzp6fT3nsfy9GOoqKiItLQ0hg8fDoDN\nZsPb29vj41JZamoq7dq1IyQkxOPjYpomxcXFOJ1OSktLCQoKcvv51i23LGszYXlzdOXKFQICAgAr\nMcnLywNqjofdbq91eXBwMHa7vYF6UXeys7M5ffo0MTExEhusE8QzzzxDVlYW9957L+3atcPHxwfD\nsH5vqtyXyv00DANvb28cDgd2u52YmBjXPq/FRWvdJI+5v/71r0yaNImioiIACgoK8PX19eiYACil\nePHFF1FK8bOf/YyRI0d6/DGUnZ2Nn58fa9as4fTp00RFRREXF+fxcaksOTmZwYMHA579/1FQUBBj\nxoxh2rRptGrVil69ehEZGen2863bxpAJ66TqqYqLi1m2bBlxcXG0bt262ueeGBvDMPjLX/5CUVER\nS5cu5fz587Xe9vtXS5qDa2MwO3XqVGUO3Nr2tTnG5JoFCxYQGBhIfn4+CxcuJDw8vFodTzuGTNMk\nMzOTKVOmEB0dzcaNG11zL1fmaXG5pry8nP379/PAAw/U+LknxaWwsJD9+/ezZs0avL29WbZsGSkp\nKbXevr7OLW65ZRkUFMSlS5dc63a7naCgIHc0pUFV/i0kLy8Pf39/wIpHbm6uq15ubi5BQUHV4lS5\nvKb6TYXT6eSVV15h6NCh9O/fH5DYVObt7U23bt1IT0+nsLAQ0zSBqn2p3E/TNLl69Sq+vr43jEtT\nO+bS0tLYv38/CQkJrFy5kiNHjrBhwwaKioo8NibXBAYGAtCmTRv69+9PRkaGxx9DQUFBBAcHEx0d\nDVi3ljIzMz0+LtekpKQQFRVFmzZtAM8+56amphIaGuq62n7XXXdx/Phxt59v3ZKQ1WbC8ubg++M8\nYmNjSUpKAqynVa71uV+/fq7J2dPT0/Hx8SEgIIDevXuTmppKUVERDoeD1NRUevfuTUBAAN7e3mRk\nZKC1ZteuXa7EpilYu3YtHTt2ZNSoUa4yT49Nfn6+67ZcaWkpqampdOzYke7du/PFF18AsHPnzhrj\nsnfvXnr06OEqT05Opry8nOzsbC5evEjnzp2b5DH3u9/9jrVr15KYmMisWbPo0aMHM2bM8OiYAJSU\nlFBcXAxYV5q//vprIiIiPP4YCggIIDg4mAsXLgC4jiFPj8s1u3fvZtCgQa51T45LSEgIJ06cICaa\nVAAABYNJREFUoLS0FK11oznfuu1N/SkpKWzYsME1YXlTedy8tlauXMmxY8coKCjA39+fCRMm0L9/\nf5YvX86lS5do27Yts2fPdg38X79+PSkpKbRu3ZrHH3+cqKgowDpQ3n//fZRS1R4zXr16tesx48mT\nJ7utr7ciLS2N559/noiICJRSKKX47W9/S+fOnT06NmfOnGH16tWYponWmoEDBzJu3Diys7NZsWIF\nhYWFdOrUienTp+Pl5UVZWRmrVq3i1KlT+Pn5MXPmTNd0Htu2bWP79u14eXlVewy7qR5zx44d46OP\nPnK99sKTY5Kdnc2SJUtQSuF0OhkyZAhjx47F4XB49DEEcOrUKV577TXKy8tp164d06ZNwzRNj49L\nSUkJ06ZNIzExkdtuuw3A439etm7dSnJyMjabjU6dOvHYY49ht9vdem6RqZOEEEIIIdxM3tQvhBBC\nCOFmkpAJIYQQQriZJGRCCCGEEG4mCZkQQgghhJtJQiaEEEII4WaSkAkhhBBCuJkkZEKIJmfx4sXs\n2rWrTve5detWVq1aVaf7FEKI2pK5LIUQbhMfH8+VK1ew2WxorVFKMWzYMP7whz/ccLu5c+fWS3s8\naT4/IUTjIgmZEMKtnnnmGddUJEII4akkIRNCNDpJSUl8/vnnREZGsmvXLgIDA5kyZYorcZs/fz5D\nhgxhxIgRXLx4kXXr1nHq1Cm8vLzo0aMHs2bNAuD48eNs3LiRixcvEhYWRlxcHDExMYA1BdGaNWvI\nzMwkJiaGsLCwKm1IT0/n7bff5ty5c7Rt25a4uDi6devWsIEQQngMGUMmhGiUMjIyaN++PW+99Rbj\nx49n6dKlFBYWVqv37rvv0rt3bzZu3Mi6deu47777AGuuvpdeeonRo0ezfv16Ro8ezeLFi3E4HAC8\n+uqrREdHs379esaNG+eaPBjAbrfz8ssv8+tf/5oNGzYwadIkXnnlFQoKChqm80IIjyMJmRDCrZYs\nWcLkyZNdf7Zv3w6Av78/o0aNwjAMBg4cSHh4OAcPHqy2vc1mIycnB7vdjpeXF127dgXg4MGDhIeH\nM3jwYAzDYNCgQXTo0IEDBw5w6dIlvvnmGyZOnIiXlxc/+clPiI2Nde3zH//4B3379qVPnz4A9OzZ\nk6ioKA4dOtQAERFCeCK5ZSmEcKs5c+ZUG0OWlJREUFBQlbKQkBAuX75cbftJkyaxefNm5s6di6+v\nL2PGjGH48OFcvnyZkJCQavuw2+1cvnwZX19fWrZsWe0zgJycHPbu3cuBAwdcnzudThnrJoSoN5KQ\nCSEapWvJ0TW5ubn079+/Wj1/f38effRRANLS0liwYAHdunUjMDCQnJycavvo27cvgYGBOBwOSktL\nXUnZpUuXMAzrpkFISAjDhg1j6tSp9dE1IYSoRm5ZCiEapStXrvDJJ5/gdDrZu3cv58+f584776xW\n74svvnAlbz4+PhiGgVKKO++8k2+//ZY9e/ZgmibJycmcO3eO2NhYQkJCiI6OZsuWLZSXl5OWllbl\natiQIUM4cOAAhw8fxjRNSktLOXbsWLUkUQgh6orSWmt3N0II4Zni4+PJz8/HMAzXe8h69uxJv379\n2L59O506dWLXrl0EBAQwZcoUevbsCVR9ynLTpk3s3r2bq1ev4u/vz9ixYxkxYgRgPWW5YcMGsrKy\naN++PZMnT67ylOXq1as5deqU6ynLoqIiEhISAOuhgk2bNnHmzBlsNhvR0dE88sgjBAcHuydYQohm\nTRIyIUSjk5SUxI4dO5g/f767myKEEA1CblkKIYQQQriZJGRCCCGEEG4mtyyFEEIIIdxMrpAJIYQQ\nQriZJGRCCCGEEG4mCZkQQgghhJtJQiaEEEII4WaSkAkhhBBCuJkkZEIIIYQQbvb/LVnBVHruJT0A\nAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d0dd7b8>" | |
| ] | |
| }, | |
| "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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jKyB32DA6SUulswaf0woQRNZjV7/daPFGu5p6WtDY6woZoF+8eO+twJHD8C56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\n0BNgCV3BjAqDqR2WVgOTAgMALDIa7MUZDtputFj9+TGI//m01jhyjqb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Go4Gvr6/Hy8XE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\nEARBEG7k/wEX6MhaEaugYQAAAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0cffcb70>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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WwP7ZNo/OozHyxE/qHzofSZNWa90PTp6aV1UVZF5uq8zLU9xZK2m3QebmuK29eudTVQWZ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\nSUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0d1d4828>" | |
| ] | |
| }, | |
| "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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QEZlBegdgvIkRERFRErJF2qC8vBxLly5FVVUVJEnCZZddhiuvvBLr1q3De++9h/z8fADA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\n7GzcddddOPvsswG4Pxyvv/46JEkKevR32bJlyqO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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0cf6acf8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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BAIANOSOMcTYlAACwKWeEMQAAAJuK7EijyspKlZaWyjRNZWdnKzc3t9XrdXV1mjt3rhob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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f2e0ced9588>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "df_plot(data, '_Episode', ['Beta'])\n", | |
| "df_plot(data, '_Episode', ['_lr_multiplier'])" | |
| ] | |
| }, | |
| { | |
| "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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