From 7ee9256498d5c3335a37de4b5f3b5b0ef0f2f880 Mon Sep 17 00:00:00 2001 From: 62a87b5436d4e43d879f356d867ad95b <62a87b5436d4e43d879f356d867ad95b@app-learninglab.inria.fr> Date: Thu, 14 May 2020 11:35:54 +0000 Subject: [PATCH] Add regression --- module3/exo3/exercice.ipynb | 200 ++++++++++++++++++++++++++++++++---- 1 file changed, 182 insertions(+), 18 deletions(-) diff --git a/module3/exo3/exercice.ipynb b/module3/exo3/exercice.ipynb index e79f42f..b04a8d4 100644 --- a/module3/exo3/exercice.ipynb +++ b/module3/exo3/exercice.ipynb @@ -21,7 +21,9 @@ "import gzip\n", "\n", "import numpy as np\n", - "import pandas as pd" + "import pandas as pd\n", + "import statsmodels.api as sm\n", + "import matplotlib.pyplot as plt" ] }, { @@ -86,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -124,7 +126,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -163,7 +165,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -248,7 +250,7 @@ "max 2007.000000 276.000000" ] }, - "execution_count": 38, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -269,16 +271,16 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 39, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, @@ -305,6 +307,35 @@ "needs_background": "light" }, "output_type": "display_data" + } + ], + "source": [ + "df.plot(y='rtt', title='full dataset')\n", + "df[:1000].plot(y='rtt', title='zoom over first 1000 points')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/conda/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n", + " series.name = label\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" }, { "data": { @@ -320,8 +351,6 @@ } ], "source": [ - "df.plot(y='rtt', title='full dataset')\n", - "df[:1000].plot(y='rtt', title='zoom over first 1000 points')\n", "df[150:300].plot(y=['rtt', 'size'], title='zoom over first observed spikes of latency')" ] }, @@ -336,16 +365,16 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 43, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, @@ -366,6 +395,39 @@ "df.plot(x='size', y='rtt', kind='scatter')" ] }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Do not display outsiders on plot, reduce point size\n", + "df.plot(x='size', y='rtt', kind='scatter', ylim=(0, 100), s=.1)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -375,22 +437,124 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 48, + "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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vK+47sWUofSZSKyo+BmFm083sQTPbamZPmdl12fIJZna/mT2X/d5a6diKFfZeirA3yiXlct0k2bb7AKs27GDb7gOxvL8+E6klcQxS9wOfd/c/Ai4A/srMzgSWAOvc/XRgXfZ1YkVxIAh7BVES7sTOF8Wd6WG28aW7tvDeWx/m71dt5r23PsyX1mwpOY5SJe0zkejEPfNCHCrexeTuu4Bd2Z8PmNlWYCpwCXBRdrEVwEPA4krHV6go7h/IXUG0aFB3RKHrJ+kS1Si6VcJsY9vuA/zose0Dyn706HauueAUZk4eV1QcYboNk/SZSHTqdUr8WMcgzOwU4B3A48DkbPLA3XeZ2YnDrLMQWAgwY8aMygQaIKoDQZgb5cImmKhEMZYSdhsdO/YPW15Mggib6JLymUh0clPiZ2Y9PgLA51Z2FFW/q1VsCcLMWoDVwGfd/XUzG2kVANx9ObAcoL29PbZrdHMHgi/knVWUeiAIcwVR3HdiQzStqeG6YArdxuzp44sqDxJFooNkfCYSnXqeEj+WG+XMrIlMcvg3d78zW7zbzKZkfz8F2BNHbMXIZCcDy36PSRQPLQojitbU2FENHOobuI1DfWnGjmooaP2Zk8dxzdyBLcpr5s4oqvUQ5fhB3J+JRKl+p8SveAvCMk2F7wFb3f0f8361FlgALM1+X1Pp2IqRO9vszTu1KOVsM6pY4jxbjaJb5eDhIzQ3GL1Hjv7TNTcYBw8fKXgbX73kHK654BQ6duxn9vTxRY89aPxAguSmxO/Lq5v1MiV+HF1M84BPAlvMrCNb9kUyiWGlmV0LbAcujyG2gnXu68HTA88gPO0Vn+QuKdfch+1WmdY6BksZ5P0TWsqKPjjPnDyu6MSQE+X4QdxJW6LT1tLMLZefyxdWbaYhZRxJO9+4rD7GleK4iuk/Gb4/5uJKxhLG2FENA852AXqPeMFdIlGIqs88KmHGUpIyuBvF+EFSkrZEp5bGlbq6e7GmMccVsqzupC7RwcNHGN2UGtBvPropVVSXSFi1NlV3FP+E23YfKLmLKSdMokta0pbo1MJ0NLmTl8bWKW8rZHkliBIN1/VRyf7qWuwzD/NP+KW7tgy4F+KauTP46iXnRBVaQcJejSVSLvknL5ZKFdTVUdXTfccpCdNkJyGGpBjuRrlKT7kR9moskXIJukpvJGpBhBBVv2SYAc1a6hsNI6ob5cKK4moskXII6nEYiRJESGH7JaMY0KyFvtGworhRLgpRXY0lErX8C0E8nS7ojEVdTDHSzJ/RieJGuSio20+SbP7sqTyy+D3079v1u0KWVwsiRrV2FVLcwt4oFxV1+0mStbU04309bxSyrBJEjGrxKqS4tY4dxemTx9E6dlSscajbT2pBXXcxxT2/u7ojohX2AU4iMlDdtiCScreruiOioRvURKJXly2IpA0Oa+bP8PQkN5Ho1WWC0MGk9mg8RyR6VZ0geg4fKemsXweT5Cp1XEjjOSLRM/fqfejFmJPe5idf+62Sxg/WduwcMnNotc64WStTS0cxLlQr+0KknMxso7u3j7hcNSeI5imn+5QFtzG6KcUji99T9AGhFg4mSRlsD6uru5d5Nz8wZHbcUj5XETm2QhNEVXcx5dTrYyGTNtgehsaFRJKnJhJEvY4f1NJBVeNCIslT1QkiZVbXg5G1dFDVILNI8lT1GMRZs97hD69/rK4PIrU02A61MS4kknSFjkFU9Z3UY0Y11P1BJAnPpIiS5jCSwZJSN+tRVScIyUjCMylEykF1M15VPQYh4dXSlVBJEvdEkLVAdTN+akHUuVp7JkUSuiN01huNWqub1aiuE0QSDiZxq6UroZJwYNasskOV+n9WS3WzWtVtF1NUzw6o9q6EpF1eWur+TEp3RC3dmxKFMP9nSaub9aguWxBRneUl4Yw1Ckl5JkWY/ZmU7ohprWPo6esfUNbT11+XZ71R/J8lpW7Wq7psQURxlpeUM9aoxD3tSNj9maTuCDM75ut6EVVrKu66Wc/qMkFEcTBRV0K0wu7PpHRHdO7rYXRjw4Cy0Y0NdVkvkpS0pTR12cWUO5gMvgO5WgfQamGwPYr9mYTuiCTVi7hF8X8m8arLBAHhDyZtLc18fM40fvTY9jfLPt4+reKVv1bGQaI6mMR9J3ZUf0dSkv623Qfo2LGf2dPHM3PyuKLXnz97Kq+/cZg1m3dxyawpJdXNWtkXEP5viSKGYlT1XEzt7e2+YcOGWN47Cc8vSEIMUUvKwSCsMH/Hmo6dXHdHx5uvv33F7JIOrDfcuYlfPLWbD501mRv/7Nyi1//SXVsGnABdM3cGX73knKK2ccE/3M8rrx9+8/WU40fx6BffV/D6Ue2Lq77zCE+8tJ/zTx7Pj//bvKLXj2JfrOnYyWfv6MABA75V5N8SRQwAC3/4OD9cctWRw6/8fsQGQlWPQTy/t5vb179Q8vp3PbmDT6/4NXc9uaPodaMcg7h9/Qtc/q/ri/5booxh3dOvsHjVJtY9/UrR6+bceu9WLvrGg9x679aSt7Hq19tZcudmVv16+8gLB7jhzk3M+dp93HDnppJjiPPv6OruHXBABPjbOzqKvvjhlCV3c/sTnXQd7OP2Jzo5ZcndRa2/bfeBAQcjgB89up1tuw8UvI27ntwxIDkA7Hr9cMH/b1Hui/Uv7Kc/Detf2B/Lvsj9LbnTcae4vyWKGCCzL+575lXMUg0jL13lLYjcE+VOGN3Apq98sKh1w57ZdHX3MufGXw4p33jDe4s6Yzz3K/fwh0NH3nxdzN8SVQzvv/Uhfrf74Juv3z55LPf+3UUFrw9w+vV305dXlZoMnrvpI0Vt449u+H/09B/dyJhGY+uNHy54/aB//BeXFhdD3H/Hu5et44XXDg0pP3XCaB5cdHFB27jhzk3c/kTnkPKrz59WcEti3k2/ZOcfhh68pp7QzCPXv7egbZzxxbs5lB5aPjoFz/zDyPv0o996iC27Dg4pP2fKWH523UUFxXDVdx5h/Qv7h5RfeGrhLYn/svSX7Ng/dF9MH9/Mr5YUti8++q3/YMuu7iHl50xp4WfX/cmI63/glgd5du8bQ8rfPuk47v38uwuKYeEPH+e+Z14FYNeKz9K767kRL6+r6hZEzh8OHSnq7DvsmQ1Ax/Z9RZUHuX39CwOSAxT3t/zqd3uKKg+y7ulXBiQHgGd3HyyqJXHrvVsHHFQB+pyizsC/8+BzAw6qAD39zncefK6g9YdrMRTTkkjC3xGUHI5VHuQXT+0uqjzIywHJ4VjlQYKSw7HKB3v6laHJ4VjlQZ54aWhyOFZ5kM6A5HCs8iBPvzI0ORyrfLDnu4Ymh2OVB3l4W1fBy+bURIIAuPmeZwpe9rZ1wf+sw5UH+fKa3xZVHuQb9wXHPFz5YP/0wO+LKg+y9BfBB7/hyoP8YP2LRZUH+c6vni+qfLCgM+ZjlQf53jDxDlce5PvDLDtc+WBnv2VsUeVBPnTW5KLKg5w7taWo8iCnThhdVPlg7zxlfFHlQc4/OXjZ4cqDRLEvwv4t806bUFR5kHfNbCt42ZzEJQgz+6CZPWtm28xsSaHrHTxc4GkJ0H2ov6jyIHsPBJ89DFce/H7BMQ9XPtjBw8HxDlce5NXuw0WVBzGCW6rDlQdJD9PVOVx5Ofgwu3248iCNqeC/ebjywX7+2YuKKg8yXDdSMQPVd/1NcLfHcOVBhusSK7SrbLguoGIGmaPYRhT7ImwcP/z03KLKgyz/1DsLXjYnUQnCzBqAfwY+BJwJXGlmZxay7rtmFp5JP3H+9KLKg7z/zBOLKg9y8RkTiyof7FNzTy6qPMhl5wVfRTFceeD7XThMHMOUB1lwQfCyw5UPdsaJxxVVHuSqYT7/4cqDfOZP3lpUeZAXl36Es98yFiPTcih2HCW3javPn0bb2CauPn9ayduYPbWFFDB7akvJ28i1GE6dMLrobby49CNceOp4GlOZcYNSY4hiG1HsizBxvLj0I1w0cwKjGuCimRNKjuH9Z0zEPX1k5KUTNkhtZnOBr7j7B7Kvrwdw95uCls8NUkM8g5FRDIqG3UbYgV2A05bcTf5Jcgp4Pob9GXYbUXweUeyLMBceiFRCoY8cTVqCuAz4oLt/Ovv6k8A73f2v85ZZCCwEoKFxTuPxJ+7v3/dy4Z3ueRrGtU1JNbdMSPd2v3bkQNeuUrbROP4tp/iR/lZraNzXv/+VF0vaRuuU02zUmOP9cM/r/ft2FdbpnqehZcKJ7j7ZzHYf6X6t8BHq/G0cP2lqqnnshHTvwdeOvL63pKltG8a1TcF9EmZ7S92fYT+TprYZZ6T7esammsYc7OvaXvjAVH4MEeyL1HHjJ2JMxtmdfmP/q6VsIyITgTjfPycJcSQhBkhGHCe7+6SRFkrandRBHbUDMpi7LweWA5jZhr7Xdo6YBcvNzDYUko1rPYakxGFmG/q1LxITQ1LiSEIMSYqjEIkagwA6gfwO32nAyzHFIiJS15KWIH4NnG5mp5rZKOAKYG3MMYmI1KVEdTG5e7+Z/TVwL9AAfN/dnzrGKssrE9mIkhBHEmKAZMSRhBggGXEkIQZIRhxJiAGSE8eIEjVILSIiyZG0LiYREUkIJQgREQmUuARhZt83sz1mNmRSIzP7ezNzM5uYff0JM+vI+0qb2ezs7+aY2ZbslB3ftiIeDBxFDGZ2nJndbWbPmNlTZrY0rn2Rt87aoG1VIgYzG2Vmy83sd9l9cmlMcVyZrRebzeye3DpliKHJzFZk32tr7qbP7O9KrptRxRG2fka1L/LWKbpuRhlHmPoZYQwl182ycfdEfQHvAs4DfjuofDqZweuXgIkB650DPJ/3+glgLpl7K34BfKiSMQDHAe/O/jwK+FUxMUS5L7Jlfwb8ePC2Kvh5/E/gxuzPqaB1KvCZNAJ7cssBy8jcuR95DMBVwB15deFF4JSwdTOqOMLWz6j2RZi6GfFnUnL9jOjzCFU3y/WVuBaEuz8MvBbwq1uBRQy6cS7PlcBPAMxsCnC8uz/qmb39I+BjlYzB3d9w9wezPx8GniRzX0fBoogDwMxagM8BNxbz/lHGAPxX4KbsNtPuXtSdpBHFYdmvsdmz9uMp4j6bImPw7Ps0AmOAw8DrYetmVHGErZ9RxADh6maUcRCifkYUQ6i6WS6JSxBBzGw+sNPdjzW5/59z9EAwlcxNdzmd2bJKxpC/7njgo8C6MDGEiONrwC1A4ZPHRxhD9u8H+JqZPWlmPzWzwueejigOd+8DPgNsIfPPdybwvTLFsAo4COwCtgPfdPfXKEPdLDGO/HUjqZ8lxhBp3SwljnLUz2JjKEfdjELiE4SZHQf8D+BLx1jmncAb7p7rAxxxyo4KxJArbyRzgPq2uxc9z1LYOCzT9z7T3f89zHuHiYFM83ka8Ii7nwc8Cnyz0nGYWROZf8J3ACcBm4Eh/eERxXA+cCT7PqcCnzez04i4boaII7duJPWzlBiirpulxkHE9bPEfRFp3YxK4hME8FYyO3KTmb1I5oN80szekrfMFQw8Y+5kYHM57JQdpcSQsxx4zt1vC/H+YeKYC8zJLv+fwNvM7KEKx9BF5gwxdyD4KZk+2zBKiWM2gLv/Ptu9sxK4sEwxXAXc4+597r4HeARoJ/q6WWocOVHVz1JiiLpulhpH1PWzlBiirpvRiHsQJOiLzKBN4IAVmUGdiXmvU2T+6U4btNyvgQs4OhD44RhiuBFYDaTi3BeFbKsC++IO4D3Znz8F/LTScZA5M9sFTMq+/hpwSzliABYDP8jWv7HA08CsKOpmhHGEqp9RxBC2bka4L0LVz7AxRFE3y/EV65sPszN/kt1Rfdl/8GuH29nZ1xcBjwVspx34LfB74J/I3jVeqRjInDU4sBXoyH59Oo59UUglrsDncTLwMJmm8zpgRkxx/GX2M9kM/AxoK0cMQAuZM9GnsgeBL0RRN6OKI2z9jGpfhKmbEX8mJdfPCGMouW6W60tTbYiISKBqGIMQEZEYKEGIiEggJQgREQmkBCEiIoGUIEREJJAShEhEzOy7ZnZm3HGIREWXuYqISCC1IERKYGZjLfM8hU1m9lsz+3Mze8jM2s1svh19FsWzZvZCdp05ZvYfZrbRzO7NzuwqklhKECKl+SDwsruf6+5nA/fkfuHua92/BMkVAAABAklEQVR9trvPBjYB38xOxva/gMvcfQ7wfeDrcQQuUqjGuAMQqVJbyBz4bwZ+7u6/skEPhjOzRUCPu/+zmZ0NnA3cn12ugcz0DCKJpQQhUgJ3/52ZzQE+DNxkZvfl/97MLgYuJ/O0MchMzvaUu8+tbKQipVMXk0gJzOwkMs+auJ3MswPOy/vdycC/AB93955s8bPAJDObm12myczOqnDYIkVRC0KkNOcA3zCzNJlZPD/D0YfMfApoA/492530srt/2MwuA75tZieQ+d+7jcysniKJpMtcRUQkkLqYREQkkBKEiIgEUoIQEZFAShAiIhJICUJERAIpQYiISCAlCBERCfT/AWJ1Ey2mcRvaAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df.plot(x='size', y='rtt', kind='scatter', xlim=(1470,1490), ylim=(0,100), xticks=range(1470,1490, 2))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "split = 1481\n", + "df1 = df[df['size'] < split]\n", + "df2 = df[df['size'] >= split]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now compute the linear regression over the two domains to find $L$ and $C$ with the following model:\n", + "\n", + "$T(S) = L + \\frac{S}{C}$" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "def linear_regression(df):\n", + " X = df['size']\n", + " X = sm.add_constant(X)\n", + " model = sm.OLS(df['rtt'], X).fit()\n", + "\n", + " L = model.params['const']\n", + " C = 1 / model.params['size']\n", + " print('L = {}, C = {}'.format(L, C))\n", + " \n", + " S = df['size']\n", + " plt.scatter(S, df['rtt'], label='data', s=2)\n", + " plt.scatter(S, L+S/C, label='regression', s=2)\n", + " plt.ylim(0, 15)\n", + " plt.xlabel('size (bytes)')\n", + " plt.ylabel('rtt (ms)')\n", + " plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "L = 3.2756741993939427, C = 3064.5146168986485\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "linear_regression(df1)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "L = 5.289832573707122, C = 387.76039978488734\n" + ] + }, + { + "data": { + "image/png": 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\n", 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" ] @@ -402,7 +566,7 @@ } ], "source": [ - "df.plot(x='size', y='rtt', kind='scatter', xlim=(1470,1490), xticks=range(1470,1490, 2))" + "linear_regression(df2)" ] }, { -- 2.18.1