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OpenAI Gym Hopper
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Proximal Policy Optimization: Hopper-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/Hopper-v1/Jul-27_15:51:28/log.csv']"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"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_15:51:28: Maximum 100 Episode Average = 3896.3 around Episode 28900\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 = {:.1f} 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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3YxeL2blOS1vlQXlTT0mxinb6/NJSlh6wBKJ6gCirYAxXHgB5zmbIwrCIc4Pk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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b40f9a20>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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DGhEREZFBMagREZHhSSnrughEdYJBjYiIjI9BjUyKQY2IiPxASVBjYCOTYVAjIiLjc+Yz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\nywAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b40f9978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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DmlpZCt19D622/UDanXGBKu4PI4wfk1EX0b23Gs3fGME42VfAeEk8OyzLzqTJ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\nOyAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b40e6588>"
]
},
"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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d8+fPJz8/n4SEhGLrlfTBFNi85ff7I7fnB371F0+3vrDu3+xZ8QFOz4FhKykU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\nXu4/ZuiXAEqEgycAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b40f9550>"
]
},
"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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mgxYuzFzB5orK2AMLOWvEmNDtwVcERlO7blhjC+uvYzxrlzXqPuwpDwXGmpBk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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b3f4a9b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Q68lXzMQdMeiIhtgverJm1WoEbN85x2CqGAkJgaOHA8t45BCqZm3zOjcXjhxE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"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b3f4ac18>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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F79kXn/cj6asv7e1DK+FI7+GAJ0kRUVJZSf03bp8k7T5Y/5597YrmKM7oH0vx\n7eX0G3z4i7F1g8yyzw6utFpJbaPtBuqI+hhjpOoq+8ULbdV4DaqrpX177N50E3t66vQSHdhrv5Sd\nOsusXCKz/DMbsKNjZb5eLueCi21PQO5KW8P2SZIjG2rDI2W++MT2TNZU2w2V3y+T84UU114q3GlX\nvsX7pfBI+wU9VJ/BF0rRcdK+PTI78+289+yWWbnEhuRDvO2k4v3yPPayFBYm/+2/OPycxyPPfU/L\n/9zDgZ7W43Euz7TBIuUcmdxVcton2vfbt6f+xGenyEnuIsW1t4fn8zdJA4bI6T9YTtt2MmtXy7ny\n55LHqbdSNtVVdjlqGyOVl8q8PkfqdLacDp2ktAH2uTYRNihWVtg6VFXajWBYazuTqio5rVsfMc9q\nqSBf/ul3H65jv8HyjLxMqqqybeycIqffYBtgOiRJ2zbL+AplcpbaQ/1RB3cQqirknDdI5uvlUsdO\ndnnc57Pfg7Vf22B7SGy8DU9VVVKkV57fPyrz6YcyH8yXEjraIQUDh8lsyZPaRtvgER1nP1d5qRQS\naoconNXVbhQK8iW/sQHmSFFt5fTuJ7N9i90R6tLdBmS/X+rRx26gK8rt5zxy+QiPtEEurLXUqpV9\nbUOr5vAI+3hFuV32YhPkdDtHioyU2sXKfPWlnBGXSgXbbRBrE27rXlsrfb1M6t5biois87c236yw\nQzKOCgqmslLaWyR1SLIb48ICu8Hb5zs8fOOINrZt21YHDhywy0BVpbRlg0zxfjnn/cgGtnWrZQp3\nyiz5WM4558oZd639e0VE2h2Hrt2lkFD5b7Y7tc7gkfJMnFKvBMYYmeXZMnOfkyrK5PQ/3w4PkeyP\nqs4fKZP9b9vWHVvt/M85eBTDV2jb1us8qbZWTqfOMv8+uOPf6zz7d66ptt/17VvsutP4bTgNj6y7\nHu0zwK4rtuTZde7uHXY9foi3nX39Ud9pZ8x4uz7avlnq0Elmx1aZJQvl9Em3PYpfL5NzyVWHl6M9\nu22Pot8vZ+BQu17ytpMz9CJ5EzupeP0ayXdwmg6dDm8bwiPsshDaStq20S6LvkJpxzap93ky816W\nWfy+nMEXyhkwRIpLkMrL7Ppw9XKp5ICMr9B+57r1lDauk1q3sUdrQlvZZXDIaLv9qiiX+WaFDcIf\n/1Nq1VoqPXA4lB+9DYprb2t6aDvVqbN9b19h3T/2wXVrPbHxdt4lB+z9s7vZZb6q0t4PDZW6nSOt\n/8Z+R4bqjc+5AAAZTklEQVSMlnZus0E6+yPb/v0++zdKTJbW59Z/jyOFR9r1muPorFc/Ov60J+jU\nC2M78+W/9zfyzHpL+nq5/M8+0Cy9ZLVTrj38h5PkeWiWnISOJz3fYDHGSCUH5HjbHb4vewkqs22T\nVFMtp2sPmdJi+6WJibd7oju32eCxYY3MnkJFdklRmZHUsZP8f7hFqq6S5/ePycz/m8yyT+WMvFxm\nTY6dd/pQmX8ePJ9K51QbrJK71Bknp5Rz7EYkd5V97brVcnr2tT0Dh/aAY+Kl1q3t+LkxP7FtSu4i\n8/lHMlkvSSk9bbgoLJASOspz7W/sxr+8TDLG7u3G2ktumW9WyORvtiutNV8FQk6DDgWnzql2hRnV\n9vAy0LWH3avK31R3Wunw3nzXHvYLfkT4Ulx7OT/+mQ1fC+baeYdH2N6RzXlSVaU9VJN0tkzeGik6\nVpH9B6ksIdHuDHww367EMoZJaQPkxHeQ/9//kHKWyjl/pJyLrpT/mQfs3nyX1IMblG12j651a6nP\ngAb3ZE1Zif27V1ZKoaHyPztNzg1T7Ebw2xyZA/vk9Em3G+31uTYMVFVKMfFyzukr88m/pE6d7d7k\nO6/akLX5OzvziMjDvYFHOzL4h0fYFaok9RssJzJSJvsjOZddLXXoJG3+zh4GCw21gcdXJCdzokzu\nStvDcrS49nZD1CbcrrhlhxOoployJtDLaNZ8ZTe+3Xraz7unUK2jY1Rp7KE7z7W/sZ8lvr0U6ZV/\n7nO2x6RTF3n+81fSniJb3yN6gY2vSIqMarAnw9TWHuwN89gdjk3r7efbttHWMKGj7UUo2S8nOq7e\nD3mkg4dMNq6T2raTdu2UOneTefV/ZKqr5BlxmVRRJrNjqx3asLfItnvyz+Tc+N922amukhPWul7b\n3NRcg8nNxnUyRbtkXnlenjsftp8/tJXMV1/K7My33/vISHluukv+Fx6Vc9UvpZAQOdFxUk21/G/+\nxYayjGFyzukrVVbaHsk9hXIyJ8qJiav7futz7RGF5K51H1+5xIaztu2kDkkHe04rpHYxcrp2l3N2\nSv22l5bY70N4hLRru0zRbnuYtlc/qazEfv/9fttD1L239M1KqXW4nL7pNlD27mff8+tldt1WU2P/\nb99ROrDfBvuzu8k5q5vMV1/W2aY1qGOy3XGQbBg79J2W7HYhLsF+v1YttevpinKpvFTO4AtlVn4u\neaOlPbvl/OIWmbVfyQlrY6fztrW9s1mz7RGCnufKfLtK6tJdnpGXy6zItju4g0bIufYW2+u5PtdO\nI0fm3Sx5/s8jUkovaf9emS8/sUN1uqTK/5dnpZg4OYNGyKz4XE54pD0yUbhTTnIX27Ztm+RcPM6u\np0uLbSdLaKic8dfZkNYm3B5dqqps+DtsjFRSfPhoVXW1PdJQUy1t3yqz3ycz/29yevaVuvWQc1aK\n7T0Nj1Snvv0aXYZPxKkXxnZslf++W+V5dp7Ml5/I/PVZeWbOa3TF4393npyzusrpO7DB52tvvFKS\n7BfXGLt3EnpKDplrUUeuME1NtV1YI6Ls/YY2GkW7bE/OrMflpPaSef9NqaZGnmfnSf5aOeER9hDB\n0kV2pfOjYXZ8XUW5PP95o/zvvynlrZFn8p/kf+pPh2fcNtqGo47J0pocqbxMnsl/kirK5P9/j9Vt\ntMdjewy87Wxgax0uZ/glMnsKpZWfS33S5SQmy0kbILNnt9176zfI9jA4duyPeflJuxfbo49t4//+\nPxuKrp4gtYu177Fhrd1bCo+UZOT07m97B6orbegw5rhjiUxNtQ0YR413OVRz4/fb3seQUCm1V2Be\nxhhpb5Gc2ITv/fc8ZluqKo/7nTFFu2wY9fvlf/1lu8HbvsWuwM7uZg8RpPaSc+XP7aGwkBDbI9aq\nlRQRJbP2a7vcnN3N3u6eJkVEyLz3ht1wvfKC7VXt0l3mjb/YDdr2rfLc9kepVz+7E3HE8uZ/5zU5\nvc6zf6NWrWS++1bOhZfZsNMqzP5fkN/gBrAhxwsGp/rYkWNpyiElNzX3L/v877wq89b/Sqm9pNIS\nOX0HyunRxy6fkVHHXL5NdZXt9TrYK3gqMX6/3eiHhMjxhMisXmGPPCSeZYc1RERKjkfm3/+Q029Q\nvQ4DU1F+uLdz3WpFde6mkuJie0Sk09nS/r12x6mq0vaSLVkoyZHT70fyvz7H9ogPvcjuHB/ZO7p9\nq9Qh0a4HS0vkeNvZ9VlIqD2sf4yjG2bF57Yn++BRkybXoeSAnKgf5hCYlvo15akXxrZtkv//Tpbn\nz3+T+fAtmfdelzP6x/L8543HnU/tjVdKkV6FPPlKveeOHM/lefKV730Y8XRy0mMMCrbLbNskT8YF\nx57G2MM3jick0IvgtAqTKSyQ+XKxnB8Nt3uPnVPtRrmq0gadg3swJucLmfzNdmMeEmJ7W/b7ZHK+\nlDPmqhMad3FoDIkbG+Afys/PTWWl1Cq0WTb4ZtcOOR3sSquhkN/Sfig1P520RM1P9QDqNpbz4Dtz\nTm3hPzh4r7IicD4v89HbUiNhTJLd42hIefnh2wd7gXBinI6d5HTsdPxpHMcObJbs+K+DY8CchI52\nvJNkx+kcmv6oPVyn36C652ILa20PDTSxV6TBNp2BvaDf15Fju056Xh0Or7B+aD1QOHUQxHCmOPV+\nv31oAGRlpR38+aPh9lDWcZjln9kbh4Lc0Y4YOMiGAQAAnEpcD2P1ThR46GetVbZnzBk0wh4HPw7/\n//z54GuPcdLBslIp8Sx5brv3JFsLAADQvFwPYzoYxkxlhT0nyKHerYpy+yu5jslSbbU9T8uxHDo8\n2cBhSlNdJbN7pz39wjEG9wMAALjF/YE0xi/jK5T//0yUJDk33WkfLtplB25HRkkxCZKvyJ6qobHZ\nrc+VUs+RjOzpHBb+U2ZFtj2vGAAAwCnG/Z6x2lqp9IiTwVXbk8SZhe/YsV6tw+0J3nxFjc8rrr38\n06faEz5+9aW9xuTBkwE6By91BAAAcCpxP4wdOu/KIZUV9td3+Zsl2V/BOR2T7WVQGnDkmTmc835k\nH9tTWOfM2M41v2rWczgBAAA0F/fDmPEfvATQQRUV9szAR3D6ptsTTzakolxqHa6QF/9hz6588X9I\nWzfIlJbYS07YN2mZtgMAAJwk98NYba38j999+H5Fub223JFiE479i8rSYjuuTPacVs7gC2XWrraH\nOA9d3HvYpS3UeAAAgJPjfhg7+tQWleVywiPkpA89/Ji37bGvP3gwdAUkJEoF+fYSLOERclLOadaT\nWQIAADQn939NefSJWisr7AVDr/u1nPNH2cci29oLRzd0aYziAzasHXLk9cj2NmHQPwAAgItOuZ4x\n89mH9hqCEZFyzsuQdPCSOrW1MksX1Xu5ObBPTtvowP3AGfaTu8oZ+9MWazYAAEBzcD+M1dRIzlHN\nOPrQpSTnkqukDWvrv754n+SNrj99zz5y4to3VysBAABahPthrLJcCgur85DZua3eZE7vfvZM+kc7\nsF9q267+4yFcYBYAAJz63A9jZaVS6zZ1HyvaVX+6Tp2lvDWqfWBKnXOL6cA+qW3dnjHnulvljL6y\nBRoLAADQvNwfwF9eVj+MHX1qC0lOdKyUmCxt3SCVFAcG7Zvi/fJ46/aMeYZd0mLNBQAAaE6u94yZ\nA/uk1uHyzPiLFNZa6jdInt892OC0nqnTbVArPOJwZfH+BseMAQAA/BC43jNmln8mp2+6nLYx8sz4\nqxQSKie04WY5rcLkpPSS2bhO6pAk7cyXdm6td5gSAADgh8L1MKa8b6UR9gz5zpHnCDsGZ+RY+Wc+\nKPPa/xx+kDAGAAB+oFw/TKnaWjntYpo8udO1h5zhdS9v5LRq1dytAgAACAr3e8YkqV3s95rcGftT\nOf1+JLN0kcyHb7VQowAAAFreqRHGouO+1+ROaKh0dorUIVnOhWNbqFEAAAAtz/0w1rXHCV/I22nd\nusHTYAAAAPxQuD9m7OhzjAEAAJxB3A9jYSfWKwYAAHA6cD2MOeERbjcBAADANe6HsZ/d5HYTAAAA\nXON+GIv0ut0EAAAA17gexgAAAM5khDEAAAAXEcYAAABcRBgDAABwEWEMAADARYQxAAAAFxHGAAAA\nXEQYAwAAcBFhDAAAwEWEMQAAABcRxgAAAFxEGAMAAHBRaFMmysnJ0Zw5c2SM0ciRIzVu3Lg6z9fU\n1OjZZ5/Vxo0b5fV6NWXKFMXHx7dIgwEAAE4njfaM+f1+zZ49W/fcc49mzJih7Oxsbd++vc40Cxcu\nVFRUlJ5++mldfvnlmjt3bos1GAAA4HTSaBjLy8tTYmKiEhISFBoaqqFDh2rZsmV1plm2bJlGjBgh\nSRo8eLBWr17dMq0FAAA4zTQaxnw+n+Li4gL3Y2Nj5fP5jjmNx+NRZGSkSkpKmrmpAAAAp58WGcBv\njGmJ2QIAAJx2Gh3AHxsbq6KiosB9n8+n2NjYOtPExcVpz549io2Nld/vV3l5uaKiourNKzc3V7m5\nuYH7mZmZSkpKOpn24wR4vV63m3DGoebBR82Dj5oHHzUPvqysrMDttLQ0paWlnfQ8G+0ZS01NVUFB\ngQoLC1VTU6Ps7GwNHDiwzjTp6en65JNPJElLlixRnz59GpxXWlqaMjMzA/+O/EAIDmoefNQ8+Kh5\n8FHz4KPmwZeVlVUnxzRHEJOa0DPm8Xg0ceJETZs2TcYYjRo1SsnJycrKylJKSorS09M1atQoPfPM\nM7rtttvk9Xo1efLkZmkcAADA6a5J5xnr16+fnnrqqTqPZWZmBm63atVKd9xxR/O2DAAA4Azg6hn4\nm6t7D01HzYOPmgcfNQ8+ah581Dz4WqrmjuGnjwAAAK7h2pQAAAAuIowBAAC4qEkD+FtCYxcfR9NN\nmjRJERERchxHISEhevjhh1VSUqInn3xShYWFat++vaZMmaKIiAhJ0ksvvaScnBy1bt1akyZNUpcu\nXSRJixYt0vz58yVJ48ePD1ziCtbzzz+vlStXql27dnr88cclqVnrvHHjRj333HOqrq5W//79NWHC\nhKB/xlNJQ/WeN2+ePvroI7Vr106S9LOf/Uz9+vWTJM2fP18ff/yxQkJCNGHCBJ133nmSjr2u2b17\nt5566imVlJSoa9eu+u1vf6uQkBAXPumpY8+ePXr22We1f/9+OY6j0aNHa+zYsSznLejoml900UW6\n7LLLWNZbUHV1te677z7V1NSotrZWgwcP1k9/+tNj1qmmpkbPPvusNm7cKK/XqylTpig+Pl7S9/9b\nHJNxQW1trbn11lvN7t27TXV1tfnv//5vk5+f70ZTTguTJk0yxcXFdR7729/+ZhYsWGCMMWb+/Plm\n7ty5xhhjVq5caR566CFjjDHr1683d999tzHGmOLiYnPrrbea0tJSU1JSEriNw9asWWM2bdpkfve7\n3wUea846T5061Xz33XfGGGMeeughs2rVqqB9tlNRQ/XOysoyb7/9dr1pt23bZu68805TU1Njdu3a\nZW699Vbj9/uPu67585//bD7//HNjjDGzZs0yH3zwQXA+2Cls7969ZtOmTcYYY8rLy81tt91m8vPz\nWc5b0LFqzrLesioqKowxNo/cfffdZv369ces0/vvv29efPFFY4wx2dnZ5oknnjDGnNjf4lhcOUzZ\nlIuPo+mMMfUuQbV8+fLAnuiFF16o5cuXS6p7Uffu3burrKxM+/bt01dffaVzzz1XERERioyM1Lnn\nnqucnJzgfpBT3DnnnKPIyMg6jzVXnfft26fy8nKlpqZKkoYPH37GfycaqrfU8OXWli9friFDhigk\nJETt27dXYmKi8vLyjruu+eabbzRo0CBJ0ogRI/Tll1+27Af6AYiOjg70bLVp00adOnXSnj17WM5b\nUEM1P3T9Z5b1ltO6dWtJtpestrZWjuMoNze3Tp0O1e/I5Xzw4MH65ptvJJ3Y3+JYXDlM2dDFx/Py\n8txoymnBcRw9+OCDgS7u0aNHa//+/YqOjpZkv+z79u2TdOwLvzflgvCor7nqfPTjcXFx1P8Y3n//\nfS1evFgpKSm67rrrFBERIZ/Ppx49egSmOVRXY0yD65ri4mJFRUXJ47H7o3Fxcdq7d2/QP8upbPfu\n3dqyZYt69OjBch4kh2revXt3rV27lmW9Bfn9fv3+97/Xrl27NGbMGHXo0EGRkZF16nRo2TxyufV4\nPIqIiFBJScn3/lscj2tjxtB8HnjgAcXExOjAgQOaNm1ag9f7dBzHhZadeahzyxozZoyuvvpqOY6j\nV199VX/961918803n9C8Gup1gFVRUaE///nPmjBhgtq0aVPveZbz5nd0zVnWW5bH49Fjjz2msrIy\nPf7449q+fXuTX9sS9XTlMGVTLj6OpouJiZEktW3bVhkZGcrLy6uz97pv377AINDY2Fjt2bMn8NpD\nF3g/+m9y6HEcX3PV+VjTo662bdsGgsDo0aMDe5vHq2tD6xqv16vS0lL5/f4600Oqra3VjBkzNHz4\ncGVkZEhiOW9pDdWcZT04IiIi1Lt3b61fv/6YdTpyufX7/SovL1dUVNT3/lscjythrCkXH0fTVFZW\nqqKiQpLds/r666919tlnKz09XYsWLZJkf9V0qL4DBw4MXNR9/fr1ioyMVHR0tM477zytXr1aZWVl\nKikp0erVqwO/CsFhR4/Pa646R0dHKyIiQnl5eTLGaPHixYGV8pns6HofCgSS9MUXX+iss86SZOv9\n+eefq6amRrt371ZBQYFSU1MbXNccqmufPn20dOlSSdInn3zCOuig559/XsnJyRo7dmzgMZbzltVQ\nzVnWW86BAwdUVlYmSaqqqtLq1auVnJystLS0But05HK+ZMkS9enTJ/B4U/8WjdXctTPw5+Tk6OWX\nXw5cfJxTW5yY3bt3a/r06XIcR7W1tRo2bJjGjRunkpISPfHEEyoqKlJCQoKmTJkSGAw9e/Zs5eTk\nqE2bNrrlllvUrVs3SXYl++abb8pxHE5t0YCnnnpK3377rYqLi9WuXTtlZmYqIyOj2eq8ceNGzZw5\nM/CT/+uvv961z3oqaKjeubm52rx5sxzHUUJCgm666abAWKb58+dr4cKFCg0NrfcT84bWNbt379aT\nTz6p0tJSdenSRb/97W8VGnpmj9xYu3at7rvvPp199tlyHEeO4+hnP/uZUlNTWc5byLFq/tlnn7Gs\nt5CtW7dq5syZ8vv9MsZoyJAhGj9+/DHrVF1drWeeeUabN2+W1+vV5MmT1b59e0nf/29xLFwOCQAA\nwEWcgR8AAMBFhDEAAAAXEcYAAABcRBgDAABwEWEMAADARYQxAAAAFxHGAPzgPPzww1q8eHGzznPe\nvHl65plnmnWeANAUZ+5Z3wC4btKkSdq/f79CQkJkjJHjOBoxYoRuuOGG475u6tSpLdIerrkIwA2E\nMQCu+v3vfx+4vAgAnIkIYwBOOYsWLdJHH32krl27avHixYqJidHEiRMDoe3+++/XsGHDNGrUKBUU\nFOiFF17Q5s2bFRoaqj59+uj222+XJK1bt05z5sxRQUGBEhMTNWHCBPXo0UOSvUTMc889p02bNqlH\njx5KTEys04b169frb3/7m/Lz85WQkKAJEyaod+/ewS0EgDMCY8YAnJLy8vLUsWNHvfTSS/rpT3+q\nxx9/XKWlpfWme+2113Teeedpzpw5euGFF3TZZZdJkkpKSvTII4/o8ssv1+zZs3X55Zfr4YcfVklJ\niSTp6aefVkpKimbPnq3x48cHLgQsST6fT48++qh+8pOf6OWXX9Yvf/lLzZgxQ8XFxcH58ADOKIQx\nAK6aPn26rr/++sC/hQsXSpLatWunsWPHyuPxaMiQIUpKStLKlSvrvT4kJESFhYXy+XwKDQ1Vz549\nJUkrV65UUlKSLrjgAnk8Hg0dOlSdOnXSihUrVFRUpA0bNuiaa65RaGioevXqpfT09MA8P/30U/Xv\n31/9+vWTJPXt21fdunXTqlWrglARAGcaDlMCcNWdd95Zb8zYokWLFBsbW+ex+Ph47d27t97rf/nL\nX+rVV1/V1KlTFRUVpSuuuEIjR47U3r17FR8fX28ePp9Pe/fuVVRUlMLCwuo9J0mFhYVasmSJVqxY\nEXi+traWsW0AWgRhDMAp6VAwOmTPnj3KyMioN127du3061//WpK0du1aPfDAA+rdu7diYmJUWFhY\nbx79+/dXTEyMSkpKVFVVFQhkRUVF8njswYL4+HiNGDFCN910U0t8NACog8OUAE5J+/fv13vvvafa\n2lotWbJE27dv14ABA+pNt3Tp0kBwi4yMlMfjkeM4GjBggHbu3Kns7Gz5/X59/vnnys/PV3p6uuLj\n45WSkqKsrCzV1NRo7dq1dXrBhg0bphUrVuirr76S3+9XVVWVvv3223oBEQCag2OMMW43AsCZadKk\nSTpw4IA8Hk/gPGN9+/bVwIEDtXDhQnXp0kWLFy9WdHS0Jk6cqL59+0qq+2vKuXPn6rPPPlN5ebna\ntWuncePGadSoUZLsrylffvll7dq1Sx07dtT1119f59eUM2fO1ObNmwO/piwrK9Ott94qyf6AYO7c\nudq6datCQkKUkpKiG2+8UXFxce4UC8BpizAG4JSzaNEiffzxx7r//vvdbgoAtDgOUwIAALiIMAYA\nAOAiDlMCAAC4iJ4xAAAAFxHGAAAAXEQYAwAAcBFhDAAAwEWEMQAAABcRxgAAAFz0/wEWMcOhsR3i\nJQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b3e9c4e0>"
]
},
"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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4cSLGjx+PgADnszFYloXF0vkLnlKpxLx585CWltauoOOJJ55AamoqZDIZ+vXr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RAAAg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\nCQsxIiIiIidhIUZERETkJP8BIw4BhGhivAwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b3e08588>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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vpV76KgxO8gx+Lw/9zSemxaqSAjJSU8zr7h3Quj168zq/09aY+8roNi5fQGbd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\nE/4FL2hWAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b3e0c5c0>"
]
},
"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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gOnTxJutWdh8/V4FMJFxpaoKEmyoFMsdxmDBhArm5uUycOJE///yTli1b7nH/\nEN8eUyphc7K8HqtdfuHZtIW4j40DwJzoBSv72wpvcdPCgrI3//QD7gevly1TscsVks4Nd2Pnfetd\nObkL3y3jvQe9joacbO8WOVXgXHJj4G2GRKTu098PCVP71CccGxtLSkoKixYtCghkycnJpKenk5SU\nhOu65OXlVdg7lpaWRlpa2b3/UlNTSUjQFXE1we5c/2pnoCoNTlFRUbg3XkDcXY8QmdKTovnfU/j9\nFxSnLfS/1/l9FSURkbBmOTHnXEz+Wy/5t0X95RTc31ZQ755J+Jq3Zvtlp2Nzsr3vY/8B2KOOg+Jb\nvFXmd5eQAGddWPUP0bXHfn762iUqKko/50GmNg++6mrz3AgfhaDvXxXo5zw0pk+f7n+ckpJCSkpK\ntRy30kC2Y8cOIiIiiI2NpbCwkCVLljBs2LCAfY488khmzZpFp06d+P777+nevfx8oj0VrjvV14yS\n+27ybkM08FTsS49jThyG/fx9fKUrwOf866Zy73GuuQN36v2ULE/zVopf+QsFDZK9qxtTeuGcmkpJ\n6a1ycgGysrCuN/G+3PexSN/XnRISEvRzHmRq8+CrrjZ3C73FoPX9q5x+zoMvISGB1NTUGjl2pYEs\nMzOTKVOm4Lou1lr69+9Pr169mD59Oh06dODII49k4MCBPPHEE9xwww0kJCQwatSoGilW9szm58Hq\nZWU3fd7wh3cPyMU/es+zMgEoWflLhe937ngY064TZuBp2C8+wvnrFbj33YSJjcPG1/du7lvRfQsT\nkzXEICLVR79PJExVGshat27Ngw+Wv+HwrgkxMjKSm24q3+MiwWN/+gH73MPerUYKC8rmfS2c422f\nOwtz2Wjs848GvjG+PmTvwLTrBIA5frB3z8jYeO8KyYhI76bZO+/zuBvn1n+D1eR7EakmCmQSpvb/\nbsRSK9j8PGz2DuxzD3svrPrV3ytmhp4TsJaXia3oqtfdfvntvMdiXAImMsqb+B9fH6JiKjy/Sai/\nz/dlFBHZMwUyCU9a6OUg5z4zEZb86H9uF8+DRk0xRx6D6X0sduZbODeMw+Zmw87hzMRkOKQxrPyl\n/O++uHg4pEnAkhQmvj5EVxzIRESqlXrIJEwpkB1k3K8/gagYTNMWmLadApekAOwn7wClvWPNW2MG\nDIXuvXBKl7iIvfEe8iMioU0HyMzA/fetAe83joPv388GnnQvQ5YiItVKgUzClALZQcSWlGD/M9V7\nDNC+M6ymTTtTAAAgAElEQVT+FfO362D975hO3XCffMDbOTYO4/Nhzr8q4BhR/U6gYOdVOU1jIbkx\nsHmv5zXHnQxRUdX7YUREKqJAJmFKgayWc+d9403Wv/He0vC0i9W/At59Is1xJ5e93qYjpvdxVTq+\nc8t4KNn7PSNN6/b7VLOIiIjsG03qr6Xc6c9j83JhxVJwXdxH7sL+ugQ6dMFccQs02GUifau2Ae81\nx5yISW5UpfOY2HhMQv1qrFxE5AC06Vh2P0uRMKJAVkvZz96H5Wn+2xIB2Fcm45xzKc5Rx0PpFZPO\n1He8+0KWch5+BXPCkKDXKyJSHZzBZ+J7akaoyxAJOg1Z1kK2xFvXy+7YBoWFAJh+f8GccErZ4qw+\n71tnIiMD3mvqJwavUBEREakWCmS1UW6293XTeuziHwAwvY/FlN72CMC58R7YuikExYmIiEh1UyCr\nZdwPXsd++DoA9tN3AXDGPwWNmgXsZxo0DJxHJiIiIgctBbJaxLquP4ztyjRuHoJqREREJFg0qb82\n2bqx7HGzVqGrQ0RERIJKgawWsPO/826BlLUD2nbCnHI2ZvCZoS5LREREgkRDlrWA++EbsG4tdOkB\n8fVxzvobdt1aLODc+u9QlyciIiI1TD1kQWYXzcG6ZSvj223pXhgD77ZIf/4GgGnRxltj7NCUUJQp\nIiIiQaRAFmTulPth8/qyF7ZtDdxhl4Vgd19jTEREROomBbIg8veM7Xrz3MwMiEvwHscn4Ix5IPiF\niYiISEgpkAVTYT4A7t3XYjf8AYDNTPfmjgF0TME0bRGq6kRERCREFMiCKS/P/9C9+1rvwR9r/Cvw\n67ZHIiIi4UmBLJjy8wKeuv+Zgv32M8yhpT1k1q3gTSIiIlLXadmLILAF+dhZn2DfeiHw9a8/9R60\naAP1YiE2LgTViYiISKgpkAXDqmXlwhgALdpgjh+M8flwHvkPOL7g1yYiIiIhp0AWBHb3pS1KmUNT\ncAae5j2O0BIXIiIi4UpzyIJhRZr/oTP1nbLXddNwERERQT1kNcLu2AbRsZjoaO/5/NneHLG8XExk\nJM59T0FiEkRGhbhSERERqQ0UyGqAe/NIOKwPvuvvwubnguvijH0Atm8DwDRRz5iIiIiUUSCrKSuW\nel+3ZUBiMqZ1h9DWIyIiIrWW5pDVhIgIyMvBWot9/1VIbhTqikRERKQWUyCrZnbVMth5z8rtGdj5\n3+H89YrQFiUiIiK1moYsq5n7wJiyJ5s3QIcumOatQ1eQiIiI1HrqIatBdt1aTKOmoS5DREREarlK\ne8jS09OZPHky27dvxxjDoEGDGDp0aMA+S5cuZcKECTRp0gSAo446ihEjRtRMxQeL+omw4U+ISwh1\nJSIiIlLLVRrIfD4fI0eOpG3btuTn5zN27FgOP/xwWrRoEbBf165dGTt2bI0VetBJbozdvB7TrnOo\nKxEREZFartIhy8TERNq2bQtATEwMLVq0ICMjo9x+1tpqL+5gE9AG9RNh03pvQVgRERGRvdinSf2b\nN29m7dq1dOrUqdy2FStWMGbMGBo2bMhFF11Ey5Ytq63Ig4E7Yxp2wWz/c1M/EfvTDwpkIiIiUqkq\nB7L8/HweeeQRLr74YmJiYgK2tW/fnqlTpxIdHc3ChQuZOHEikyZNqvZia5uSSfdiWrfHDL8Q++XH\nkJdTtjExGQCjQCYiIiKVqFIgKykp4eGHH+b444+nT58+5bbvGtB69uzJc889R3Z2NvHx8QH7paWl\nkZZWdqPt1NRUEhIO3knvmT/Px2zdRPzQs8mKiSGiZ1/cbenEjbobIiLZ8eHrxMTEEFWLPmNUVNRB\n3eYHI7V58KnNg09tHnxq89CYPn26/3FKSgopKSnVclxjqzD5a/LkySQkJDBy5MgKt2dmZpKYmAjA\nypUrefTRR5kyZUqVCli/fv0+lFu7lFxxhvegRRuIr49z831gLcbxpubZxfOgYzdMbFwIqwyUkJBA\nVlZWqMsIK2rz4FObB5/aPPjU5sHXvHnN3Yu60h6yZcuW8c0339C6dWvGjBmDMYbzzjuPLVu2YIzh\nxBNPZM6cOXz22Wf4fD6ioqK48cYba6zgWmndWsxfTsEYA8b4XzaHle9NFBEREdldpYGsS5cuvPnm\nm3vdZ8iQIQwZMqTaijooJel+lSIiIrJ/tFL/fnKffajsyaEpmM49QleMiIiIHNR0L8v9ZH/42v/Y\nufk+jOMLYTUiIiJyMFMPWTVQGBMREZEDoUC2H+yaFaEuQUREROoQBbJ9YFctw+7Yhnv/zaEuRURE\nROoQzSHbB+4DY+CIvqEuQ0REROoY9ZDtq7zcwOeHNAlNHSIiIlJnKJDtq90Cme/fz4aoEBEREakr\nFMj2VWY6GDWbiIiIVB/NIdtXOzKhUVN89z8T6kpERESkjlBXz/6onxjqCkRERKQOUSDbFw0aln5N\nCm0dIiIiUqcokFVByUP/wObmQFEhNGuF2RnMRERERKqBAlklbHEx/LoEtm+DwkJMx66Q3DjUZYmI\niEgdokn9lcnY4n0tKYbiIsy5V4CjHCsiIiLVR4FsL2z2DuyS+d6TnGyIisZER4e2KBEREalzFMj2\nwn3hMVjyo/f4oTsgUZP5RUREpPpp7G1vCvICn8fGh6YOERERqdMUyPZm9xX5FchERESkBiiQ7Y3P\nF/g8Ni40dYiIiEidpkC2ByVTxkPW9oArKk2UJvSLiIhI9VMg25NFc+GPNTgPPl/2WmRk6OoRERGR\nOkuBrBImMbnsSUxs6AoRERGROkuBrAK2pCTwhZh63td6CmQiIiJS/RTIKrLbchfOv6Z6DxoeEoJi\nREREpK7TwrAVyS8NZCk9AW/Y0hn/NByie1iKiIhI9VMgq0h+HjRtiTPqHv9LpnGz0NUjIiIidZqG\nLCuSnwcx9TDGhLoSERERCQMKZBUpDWQiIiIiwaBAthu7dRN2wWwFMhEREQkaBbLduK8/g531CUaB\nTERERIKk0kn96enpTJ48me3bt2OMYdCgQQwdOrTcfi+88AKLFi0iOjqaa6+9lrZt29ZEvTXOREVj\nQT1kIiIiEjSVBjKfz8fIkSNp27Yt+fn5jB07lsMPP5wWLVr491m4cCGbNm3i8ccfZ8WKFTz77LOM\nHz++RguvMTvvVxmtQCYiIiLBUemQZWJior+3KyYmhhYtWpCRkRGwz7x58zjhhBMA6NSpE7m5uWRm\nZlZ/tcGwM5Cph0xERESCZJ/mkG3evJm1a9fSqVOngNczMjJITi6752NSUlK50HawsJnp3gMFMhER\nEQmSKi8Mm5+fzyOPPMLFF19MTEzMfp0sLS2NtLQ0//PU1FQSEhL261g1oeSPNWQtmgtAbPtDiaxF\ntVWXqKioWtXm4UBtHnxq8+BTmwef2jw0pk+f7n+ckpJCSkpKtRy3SoGspKSEhx9+mOOPP54+ffqU\n256UlER6err/eXp6OklJSeX2q6jwrKysfa25xtgdOwAwqZeR374L+bWotuqSkJBQq9o8HKjNg09t\nHnxq8+BTmwdfQkICqampNXLsKg1ZPvnkk7Rs2bLCqysBevfuzaxZswBYvnw5cXFxJCYmVl+VQWBX\nLcNuWuc90QL9IiIiEkSV9pAtW7aMb775htatWzNmzBiMMZx33nls2bIFYwwnnngivXr1YuHChVx/\n/fXExMRw9dVXB6P2auU+MKbsSUlJ6AoRERGRsFNpIOvSpQtvvvlmpQe67LLLqqWgkGmQBNtLL0Qo\nLg5tLSIiIhJWtFL/TnHxZY8VyERERCSIFMh2it7lylHrhq4OERERCTsKZDuZ0pn8icmYwWeFthYR\nEREJKwpkgF3/O6z+1XvSrCWmXmxoCxIREZGwokAGuK9MLntibegKERERkbBU5ZX667Rsb2E9Z/xT\nUL9hiIsRERGRcKMeMoD40ltPxNXH6B6WIiIiEmQKZADGYAYMhdi4UFciIiIiYUiBDKCoCHP0IIzR\nPZNEREQk+BTIAIqLIFLT6URERCQ0FMjAW5k/IjLUVYiIiEiYUiADr4dMgUxERERCRIEMFMhEREQk\npMI+kNmCAsjeAZEKZCIiIhIaYR/I3MfvgZIS9ZCJiIhIyIR9IPPfw1KBTEREREJEgay4GADj84W4\nEBEREQlXCmQiIiIiIRbWgcwWFYW6BBERERHCe3n69M2Q3Bgn9bJQVyIiIiJhLKx7yNiRCQ2TMb2O\nDnUlIiIiEsbCO5DlZkFcQqirEBERkTAX1oHMrvsdExsX6jJEREQkzIV3IHtvGjYnO9RliIiISJgL\n20DmzvnSe7B9W2gLERERkbAXloHMFhdjn38UADNgaIirERERkXAXloGM7O3+h84xJ4awEBEREZFw\nDWQ5OaGuQERERMQvPANZribyi4iISO2hQCYiIiISYmEZyLTUhYiIiNQmld7L8sknn2TBggU0aNCA\nhx56qNz2pUuXMmHCBJo0aQLAUUcdxYgRI6q/0uqUl4MZMBSTenmoKxERERGpPJANGDCAU045hcmT\nJ+9xn65duzJ27NhqLaxGFRZAdD1MRHjfW11ERERqh0qHLLt06UJc3N5vL2StrbaCgqKwAKKiQ12F\niIiICFCFHrKqWLFiBWPGjKFhw4ZcdNFFtGzZsjoOW3MKC6B+w1BXISIiIgJUQyBr3749U6dOJTo6\nmoULFzJx4kQmTZpU4b5paWmkpaX5n6emppKQkHCgJeyzXOviq1+f6BCcO9SioqJC0ubhTG0efGrz\n4FObB5/aPDSmT5/uf5ySkkJKSkq1HPeAA1lMTIz/cc+ePXnuuefIzs4mPj6+3L4VFZ6VlXWgJewz\nNzubIhcKQ3DuUEtISAhJm4cztXnwqc2DT20efGrz4EtISCA1NbVGjl2lZS+stXucJ5aZmel/vHLl\nSoAKw1htYTeuw274Q3PIREREpNaotIds0qRJLF26lKysLK6++mpSU1MpLi7GGMOJJ57InDlz+Oyz\nz/D5fERFRXHjjTcGo+795j71AKxbi1EgExERkVqi0kA2atSovW4fMmQIQ4YMqbaCalyT5rBuLURG\nhroSERERESAMV+o3EaVBLC83tIWIiIiIlAq7QGYL8jEDToXDeoe6FBEREREgDAMZhQWYI/piIqNC\nXYmIiIgIEI6BrCAfomMq309EREQkSMI0kOkKSxEREak9wiqQWWshJwui1EMmIiIitUdYBTJ+WQSZ\nGRBXexeuFRERkfATVoHMbt6I6TcAE6d7f4mIiEjtEVaBjMx0aNQk1FWIiIiIBAi/QJaYHOoqRERE\nRAKEVSCzOTmYeA1XioiISO0SVoGMwnxdYSkiIiK1TtgEMjt/NixdBFFag0xERERql7AJZO6n73oP\ntEq/iIiI1DJhE8j8PWNapV9ERERqmfAJZJGR3lfNIRMREZFaJowCWZT3VUOWIiIiUsuETSAz/kCm\nIUsRERGpXcImkO0csjQRkSEuRERERCRQ+AQyx4c555JQVyEiIiJSTvgEsqIiiG8Q6ipEREREygmf\nQFZcVHalpYiIiEgtEjaBzBYVYhTIREREpBYKm0BGURFERIW6ChEREZFywieQachSREREaqnwCWT5\nuVoUVkRERGqlsAhkNjcbNq6DxKRQlyIiIiJSTlgEMveBsVBYAPUTQ12KiIiISDlhEcjI2AqAcXwh\nLkRERESkvIhQFxAU7Q/FpPQMdRUiIiIiFao0kD355JMsWLCABg0a8NBDD1W4zwsvvMCiRYuIjo7m\n2muvpW3bttVd535z35sGv/yEOfviUJciIiIiUqFKhywHDBjAP/7xjz1uX7hwIZs2beLxxx/nyiuv\n5Nlnn63WAg+U/Xi69yC5SWgLEREREdmDSgNZly5diIuL2+P2efPmccIJJwDQqVMncnNzyczMrL4K\nD4Bd/jMAzj2TMXHxIa5GREREpGIHPKk/IyOD5ORk//OkpCQyMjIO9LDVwv62Ejp0wbRoHepSRERE\nRPaozl5laV0Xu3geJqVXqEsRERER2asDvsoyKSmJ9PR0//P09HSSkipegDUtLY20tDT/89TUVBIS\nEg60hAoV/7qE7F+XENN/ANE1dI6DUVRUVI21uVRMbR58avPgU5sHn9o8NKZPn+5/nJKSQkpKSrUc\nt0qBzFqLtbbCbb179+bTTz+lf//+LF++nLi4OBITK16AtaLCs7Ky9rHkqrGbNwKQn59PYQ2d42CU\nkJBQY20uFVObB5/aPPjU5sGnNg++hIQEUlNTa+TYlQaySZMmsXTpUrKysrj66qtJTU2luLgYYwwn\nnngivXr1YuHChVx//fXExMRw9dVX10ih+8IWFeLO/sJ74tTZUVkRERGpIyoNZKNGjar0IJdddlm1\nFFNtli2GhXMwF1yFOfbkUFcjIiIisld1cqV+m5sDvfrj/GVoqEsRERERqVSdCmQ2aweUFEN2FkY3\nEhcREZGDRJ0JZNZa3IfugA1/Yk5Lhfj6oS5JREREpErqzoz3ZYth/e9gXeyHb0BEncmaIiIiUsfV\nmUBms3eUPWnUFHP0gNAVIyIiIrIP6kwgY1s6ZtDpAJgevTFJjUJckIiIiEjV1J1Atj0DEkvvEGBM\naGsRERER2Qd1J5Bl7YCEBt5jBTIRERE5iNSZQGbzcjCx8d4Tnyb0i4iIyMGj7iSX3GyIjcO59X5o\n2S7U1YiIiIhUWR0KZDlQLw7Tun2oKxERERHZJ3VmyJLcHIiNC3UVIiIiIvus7gSynGzYOYdMRERE\n5CBSJwKZzckCA9SLDXUpIiIiIvusTgQyNm/0VufXchciIiJyEKoTgcxu2QCNmoW6DBEREZH9UicC\nGVs2Yho1DXUVIiIiIvuljgSyDdBYgUxEREQOTnUikNlt6ZiGupm4iIiIHJzqRCAjJxvitOSFiIiI\nHJzqRiDL1RpkIiIicvCqI4EsRz1kIiIictA66AOZtRbyvPtYioiIiByMDvpARl4OREZjIurOfdJF\nREQkvBz8gWzVMmjTIdRViIiIiOy3gz6Q2d9WYjp2DXUZIiIiIvvtoA9kbNsKSVqDTERERA5eB30g\nsxlbMEmHhLoMERERkf120AcytmyC5MahrkJERERkvx3Ugcymb4HtGdCkRahLEREREdlvB20gs6uW\n4d52GfgiMD5fqMsRERER2W9VWrxr0aJFvPTSS1hrGTBgAMOHDw/Y/tVXXzFt2jSSk5MBGDx4MAMH\nDqz+andhv/0MOnTBOfNvNXoeERERkZpWaSBzXZfnn3+eu+++m4YNG3L77bfTp08fWrQIHCbs378/\nl156aY0Vujv7xxqc867EdOgStHOKiIiI1IRKhyxXrlxJs2bNaNSoERERERxzzDHMmzcvGLXt3ZaN\n0LhZqKsQEREROWCV9pBlZGT4hyIBkpKSWLlyZbn95s6dyy+//EKzZs0YOXJkwHuqm92WDsZAfP0a\nO4eIiIhIsFTLDSB79+7NscceS0REBJ9//jlTpkzh7rvvro5DV8j+NBfT7QiMMTV2DhEREZFgqTSQ\nJSUlsXXrVv/zjIwMkpKSAvaJj4/3Px44cCDTpk2r8FhpaWmkpaX5n6emppKQkLBPBRf/tpLsV5+i\n3lVjiN7H9wpERUXtc5vLgVGbB5/aPPjU5sGnNg+N6dOn+x+npKSQkpJSLcetNJB17NiRjRs3smXL\nFho2bMh3333HqFGjAvbJzMwkMTERgB9//JGWLVtWeKyKCs/KyqpysTY3B/vWS5DcmILufSjch/eK\nJyEhYZ/aXA6c2jz41ObBpzYPPrV58CUkJJCamlojx640kDmOw2WXXcZ9992HtZaBAwfSsmVLpk+f\nTocOHTjyyCOZOXMm8+fPx+fzER8fzzXXXFPthdqCAtxR53k13TYBEx1d7ecQERERCQVjrbWhLGD9\n+vVV2s/+tgJ3/M04t9yP6dy9hququ/Q/quBTmwef2jz41ObBpzYPvubNm9fYsatlUn9Nc7/5P+wr\nkzG9j1UYExERkTrnoLh1kv3pB+jRG3PxqMp3FhERETnIHBSBjB2ZOEPP1rwxERERqZMOjkC2ZYNW\n5RcREZE6q9YHMpuTDcXFkJAY6lJEREREakStD2Q7e8e0Kr+IiIjUVbU6kFlrsRv/xDTScKWIiIjU\nXbV62Qv7wWvYj97EnHJ2qEsREZE9iI+Px+fz6TY+QaY2rznWWrKzs4N6zlodyNiy0fvatEVo6xAR\nkT0yxpCZmRnqMkSqTSiCbq0estw5kd8c3jfEhYiIiIjUnNodyAryMBdeg4mLD3UlIiIiIjWmVgcy\nm5OlMCYiIiJ1Xq0MZP77nWdth/j6oS1GRERE9lu/fv349ttvAXjiiScYM2ZMiCuqnWpdILPW4l45\nDLt9G2xcB000oV9ERPbfSy+9xNChQ2nfvj033XRTwLY///yTli1b0rlzZw499FA6d+7MpEmT9nis\n0aNH065du4D9d3YiFBUVceWVV9KvXz9atmzJnDlz9lrXU089xaBBg+jcuTP9+/fnqaeeCtielpbG\nWWedRdeuXenTpw+PPfbYfrZA7XH99dc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9zYEDB0RFRYUQQohPPvlEfPvtt+5ZMQ/V29sr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\nAZoGKgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b3f99518>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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P8/dm3gc2fK3O4RQSplvU6VoMttuDgJFjVTmL6M8RnWyiaWh/bKUlROQ6R+mQ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\nRKQgFmNERERECvo/NA05a1PD4NkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b3e32358>"
]
},
"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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vKPskmYAJgqhwTDVqPM9j/vz5WL58ORhjaGtrw6RJk9De3o7Jkydj5syZaGtr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SpEuu83Aef0MMwBWP5BribUAgAhaNiw4S9+Phf9ya0NGaXAru3cY7h1O2t8TZGGMbDlH4FcfLXD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\nVXswNAuwwQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b40c1828>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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wH4IYAMAZTKsbwBmPIAYAcAjT4j/ADQhiAABnMMzWh/sQxAAAzsBkfbhQ3IJYOBzWXXfd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\nYgAAAElCEAMAAEiS/wdCUTBLN6SejgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f19b3fe3fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Policy and Value Function Training Loss\n",
"df_plot(data, '_Episode', ['ValFuncLoss'])\n",
"df_plot(data, '_Episode', ['PolicyLoss'])"
]
}
],
"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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