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@adiprasad
Created April 6, 2019 04:15
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Bias-Variance trade-off comparison between Ridge regressor and KNN Regressor
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bias-Variance trade-off demo"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Imports and Helper functions"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np \n",
"import matplotlib.pyplot as plt \n",
"from sklearn.linear_model import Ridge\n",
"from sklearn.svm import SVR\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"from sklearn.neighbors import KNeighborsRegressor\n",
"\n",
"\n",
"def show_plot(x_label, y_label, title):\n",
" label_plot(x_label, y_label, title)\n",
" plt.show()\n",
"\n",
" \n",
"def label_plot(x_label, y_label, title):\n",
" plt.xlabel(x_label)\n",
" plt.ylabel(y_label)\n",
" plt.title(title)\n",
" \n",
"\n",
"def plot_graph(x, y, alpha=1, cl=\"blue\"): \n",
" plt.plot(x, y, alpha=alpha, color=cl) \n",
"\n",
" \n",
"def eval_fxn(data_eqn, x):\n",
" return eval(data_eqn)\n",
"\n",
"\n",
"def data_graph(data_eqn, x_range, alpha=1):\n",
" y = eval_fxn(data_eqn, x_range)\n",
" plot_graph(x_range, y, alpha)\n",
" \n",
"\n",
"def prepare_training_sets(formula, x_range, num_samps, num_sets):\n",
" X_tr = np.zeros((num_sets, num_samps))\n",
" Y_tr = np.zeros((num_sets, num_samps))\n",
" \n",
" print X_tr.shape\n",
" \n",
" x_left = x_range[0]\n",
" x_right = x_range[-1]\n",
" x = x_left\n",
" y_left = eval(formula)\n",
" x = x_right\n",
" y_right = eval(formula)\n",
" noise_std_dev = 0.3 * (y_right - y_left)\n",
" \n",
" for i in range(num_sets):\n",
" X_tr[i] = np.random.uniform(x_left,x_right,num_samps)\n",
" Y_tr[i] = eval_fxn(formula, X_tr[i]) + np.random.normal(0,noise_std_dev,num_samps)\n",
" \n",
" X_te = np.random.uniform(x_left,x_right,num_samps/5)\n",
" Fx_te = eval_fxn(formula, X_te)\n",
" eps_te = np.random.normal(0,noise_std_dev,num_samps/5)\n",
" Y_te = Fx_te + eps_te\n",
" \n",
" return X_tr, Y_tr, X_te, Y_te, Fx_te, eps_te\n",
" \n",
"\n",
"\n",
"def draw_dot_plot(formula, x_range, x, y):\n",
" num_samps = len(x)\n",
" plt.plot(x, y, 'ob')\n",
" \n",
" data_graph(formula, x_range, alpha=0.3)\n",
" \n",
" show_plot(\"X\", \"Y\",' Num samples = ' + str(num_samps))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Y = f(X) i.e. the data curve (without noise) = 0.05x³ - 0.02x² - 0.01x + 1"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
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S4ONOiScXYAAwI2X/WmCYu3cEFgH9Ynk/YJG77wAMi/Uws12BXkAnoDtwu5mV5Sl2EZG8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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fd8ad90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data_eqn = '0.05*x**3 - 0.02*x**2 - 0.01*x + 1'\n",
"x_range = np.arange(-50,50)\n",
"\n",
"data_graph(data_eqn, x_range)\n",
"show_plot(\"X\",\"Y\", 'Data eqn = ' + data_eqn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Sample 20 training sets containing 40 points each and 1 test set containing 8 points with added Gaussian Noise"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(20, 40)\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fe26710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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2RU8/r+VgWlmtsIjPrBEcdJrQ00/DAw/AMcektDatvganbIv6arW+emuFqeqH\nwxMtrC8tfrtqPZ2dsGRJmp32ilfA0KFF12jwqU6psnp1aoFVL3cruvuvaJ7mbv1xS6eJrFmTAs6x\nxzrgFK3S+oqAf//3cnX/Fa2s09ytHJyRoJeyZiRYvz5NGhg/Pi38dMCxshoyZN+WX4WUukitNR1s\nRgK3dJpAVxcsXpw2XJs71wHHyq2M09ytPBx0Sm7TJrjvPjjqqNTCafVJA9Z8ek8aePObyzfN3crD\nQafEtmxJCz9Hjkyz1Fp1WnQRPLuqPmplZ7jhBrj8co9zWW0OOiX1wgspW/TQoWkdzogRjf/MwXIj\nbuWtgPPW16SBW28t1zR3Kw9PJOilDBMJXnwxJe/ctStlGsgjl1rvaa6QukRa8RvqjBm1d3adPj3d\nIO3gedKAVXgiQZPasyd1qe3YkaZF55W8czBNcy1jEtFm5UkDNlAOOiUSkTINPPccnH12yjiQl8F0\nI/aNsn7KmBvPys1Bp0SWL4d16+DUU2HSpHw/ezDdiH2jrJ8y5sazcnPQKYnVq6GjI403nHBC/p8/\nmG7EvlHWV9ly41m5edVHCTzzDDz8MBx3HJx2WjF1qM4n1ix7sh+OVt0K2KzsHHQKtn17Sm9z1FEw\nZ0765l0U34jNrNFK170m6eOS1khakh1vrnrtakkdkh6TdFFV+cVZWYekq6rKZ0q6R9IKSd+SNDzv\n6+nP7t1pppqU0ts424CZtbrSBZ3M5yNidnbcCiDpFOBS4FTgYuDLkoZKGgp8CXgTcApwWXYuwGey\n3zULeA54b94X0pfKTLXt26Gt7cD7s5iZtYKyBp1aLgFuiohdEfEk0AHMzY6OiFgZES8CNwGXSBLw\nBuA72ftvAN5eQL1reuwx2LAhjeHkOTXazKxIZQ06V0p6SNL1ksZlZZOBp6vO6czK+io/Bng+Irp7\nlRdu/XpYsSIN1s+YUXRtzMzyU0jQkXSHpEdqHJcA1wEnArOBdcA/VN5W41fFIZTXqs98Se2S2ru6\nugZ8PQOxbVvqVhs7Fk4/vaEfZWZWOoUMXUfEBQdznqSvAP+dPe0Epla9PAVYmz2uVf4MMFbSEVlr\np/r83vVZCCyElHvtIC9jwLq700y1IUPSOM6QsrYzzcwapHS3PUnVa/HfATySPb4FuFTSCEkzgVnA\nvcB9wKxsptpw0mSDWyJlMr0L+L3s/ZcD3290/fvL1PzQQ6mlM2cOHHlko2tiZlY+ZZyk+1lJs0ld\nYauAPwGWGz1gAAAJ60lEQVSIiKWSbgYeBbqB90fEHgBJVwK3AUOB6yNiafa7PgLcJOlTwAPA1xpZ\n8d6Zmisp8wF++7dhzRp42cvg2GMbWQszs/Ly1ga9HM7WBn2lzJ86Fa67LgWbuXOLXQBqZtYI3tqg\nAH1lZH76aRg+HM46ywHHzAY3B5066i8j83veA9/+dn51MTMrIwedOqqVqbmis9NbIpuZOejUUXXK\n/FpadSdOM7OD5aBTZ/PmwcqVfb/eijtxmpkdLAedBli+HCZMqP1aK+7EaWZ2sBx06uzZZ+GJJ+CD\nHxw8O3GamR0sB5062r075VUbPRo+/GFviWxm1lsZMxI0raVLYedOOO+8tCGbd+I0M9uXWzp1sm5d\nWgQ6axaMG3fg883MBiMHnTrZsiVtVzBrVtE1MTMrL3ev1cnJJ6eA4+0KzMz65ltkHdUj4PS3NYKZ\nWbNzS6dE+tsawRMSzKwVuKVTIgsW7A04FU6dY2atxEGnRPpKkePUOWbWKhx0SqSvFDlOnWNmrcJB\np0RqbY3g1Dlm1kocdEqkemsEp84xs1bk2Wsl49Q5ZtbK3NIxM7PclCroSPqWpCXZsUrSkqx8hqQX\nql77l6r3zJH0sKQOSV+QpKx8vKTbJa3IfjojmplZwUoVdCLif0bE7IiYDfwn8N2ql5+ovBYRV1SV\nXwfMB2Zlx8VZ+VXAnRExC7gze25mZgUqVdCpyForfwB88wDnTQKOjohfR0QA3wDenr18CXBD9viG\nqnIzMytIKYMO8GpgQ0SsqCqbKekBST+T9OqsbDLQWXVOZ1YGMDEi1gFkP4/r68MkzZfULqm9q6ur\nfldhZmb7yH32mqQ7gJfWeGlBRHw/e3wZ+7Zy1gHTIuJZSXOA/yvpVEA1fk8MtE4RsRBYCNDW1jbg\n95uZ2cHJPehExAX9vS7pCOB3gDlV79kF7MoeL5b0BHASqWUzpertU4C12eMNkiZFxLqsG25j/a7C\nzMwORRm71y4AlkfEb7rNJE2QNDR7fAJpwsDKrNtsq6Rzs3GgdwOV1tItwOXZ48urys3MrCBlXBx6\nKftPIHgN8AlJ3cAe4IqI2JS99qfA14EjgR9mB8C1wM2S3gs8Bfx+g+ttZmYHoDTpyyra2tqivb29\n6GqYmTUVSYsjou1A55Wxe83MzFqUg46ZmeXGQcfMzHLjoGNmZrlx0DEzs9w46JiZWW4cdMzMLDcO\nOmZmlhsHHTMzy42DjpmZ5cZBx8zMcuOgY2ZmuXHQqbNFi2DGDBgyJP1ctKjoGpmZlUcZtzZoWosW\nwfz5sGNHer56dXoOMG9ecfUyMysLt3TqaMGCvQGnYseOVG5mZg46dfXUUwMrNzMbbBx06mjatIGV\nm5kNNg46dXTNNTBq1L5lo0alcjMzc9Cpq3nzYOFCmD4dpPRz4UJPIjAzq/DstTqbN89BxsysL27p\nmJlZbgoJOpJ+X9JSST2S2nq9drWkDkmPSbqoqvzirKxD0lVV5TMl3SNphaRvSRqelY/Inndkr8/I\n6/rMzKy2olo6jwC/A/y/6kJJpwCXAqcCFwNfljRU0lDgS8CbgFOAy7JzAT4DfD4iZgHPAe/Nyt8L\nPBcRvwV8PjvPzMwKVEjQiYhlEfFYjZcuAW6KiF0R8STQAczNjo6IWBkRLwI3AZdIEvAG4DvZ+28A\n3l71u27IHn8HOD8738zMClK2MZ3JwNNVzzuzsr7KjwGej4juXuX7/K7s9c3Z+fuRNF9Su6T2rq6u\nOl2KmZn11rDZa5LuAF5a46UFEfH9vt5WoyyoHRyjn/P7+137F0YsBBYCSOqStLqP+pXZscAzRVci\nZ4PxmmFwXvdgvGZoruuefjAnNSzoRMQFh/C2TmBq1fMpwNrsca3yZ4Cxko7IWjPV51d+V6ekI4CX\nAJsOot4TDqHehZPUHhFtBz6zdQzGa4bBed2D8ZqhNa+7bN1rtwCXZjPPZgKzgHuB+4BZ2Uy14aTJ\nBrdERAB3Ab+Xvf9y4PtVv+vy7PHvAT/Jzjczs4IUNWX6HZI6gVcCP5B0G0BELAVuBh4FfgS8PyL2\nZK2YK4HbgGXAzdm5AB8BPiSpgzRm87Ws/GvAMVn5h4DfTLM2M7NiyF/+W4Ok+dnY1KAxGK8ZBud1\nD8Zrhta8bgcdMzPLTdnGdMzMrIU56JiZWW4cdFqEpL+UFJKOzZ5L0hey3HMPSTq76DrWi6TPSVqe\nXdf3JI2teq1m7r5W0Ff+wVYjaaqkuyQty3I0/nlWPl7S7VmexdsljSu6rvWWpf16QNJ/Z89r5pZs\nZg46LUDSVOBCoHpj7DeRppzPAuYD1xVQtUa5HTgtIs4AHgeuhr5z9xVWyzo6QP7BVtMN/EVEvBw4\nF3h/dq1XAXdmeRbvpDVnpP45aYZuRV+5JZuWg05r+DzwV+ybceES4BuR3E1aRDupkNrVWUT8uCr1\n0d2kRcHQd+6+VlAz/2DBdWqIiFgXEfdnj7eSbsKT2TefYnWexZYgaQrwFuCr2fP+cks2LQedJifp\nbcCaiHiw10t95atrNe8Bfpg9buVrbuVr61O2JclZwD3AxIhYBykwAccVV7OG+D+kL4892fP+cks2\nLe8c2gT6y2MHfBR4Y6231ShrmvnxB5O7T9ICUlfMosrbapzfNNd8AK18bTVJOgr4T+ADEbGllZPE\nS3orsDEiFkt6XaW4xqlN/3fuoNME+spjJ+l0YCbwYPYfcgpwv6S59J/HrvQOlLtP0uXAW4Hzq9Ib\nNfU1H0ArX9t+JA0jBZxFEfHdrHiDpEkRsS7rKt5YXA3r7jzgbZLeDIwEjia1fPrKLdm03L3WxCLi\n4Yg4LiJmRMQM0o3p7IhYT8o99+5sFtu5wOZK10Szk3QxKf3R2yJiR9VLfeXuawU18w8WXKeGyMYy\nvgYsi4h/rHqpOp9idZ7FphcRV0fElOz/8aWkXJHz6Du3ZNNyS6d13Qq8mTSYvgP4o2KrU1dfBEYA\nt2ctvLsj4oqIWCqpkruvmyx3X4H1rJuI6JZUyT84FLi+Kv9gqzkPeBfwsKQlWdlHgWuBmyW9lzRT\n8/cLql+ePgLcJOlTwAPszS3ZtJwGx8zMcuPuNTMzy42DjpmZ5cZBx8zMcuOgY2ZmuXHQMTOz3Djo\nmJVYlnH5SUnjs+fjsufTi66b2aFw0DErsYh4mpQh/Nqs6FpgYUSsLq5WZofO63TMSi5LCbMYuB74\nY+CsLNO0WdNxRgKzkouI3ZI+DPwIeKMDjjUzd6+ZNYc3AeuA04quiNnhcNAxKzlJs0k7w54LfLBV\nNuOzwclBx6zEsozL15H2lHkK+Bzw98XWyuzQOeiYldsfA09FxO3Z8y8DL5P02gLrZHbIPHvNzMxy\n45aOmZnlxkHHzMxy46BjZma5cdAxM7PcOOiYmVluHHTMzCw3DjpmZpab/w+H1r3i8v/13AAAAABJ\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f67bed0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kK4BVwPvyuoh6eemlNMfNli1w3HFw0knNPYHaQFVQjVwSqnxGp9WHzbfm4fl0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\nxkHHzMxy46BjZma5cdAxM7Pc/H9fY5WQknSI0wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f67b110>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ZpKATk8Ey04aSdCAiklWaBicGxzodTlOTgoyI5JtaOjHQdDgiIoGCTgyUmSYi\nEijoxECZaSIigYJODJSZJiISKOjEQJlpIiKBstdiosw0ERG1dEREJEYKOiIiEptEgo6Z3WRmq82s\nx8waS967w8zazOx5M7u+qPyGqKzNzG4vKp9jZo+b2Toz+7aZjYnKx0bbbdH7DXGdn4iIlJdUS+dZ\n4I+BR4sLzWwecDNwDnAD8CUzG2Vmo4AvAm8B5gHvifYF+DTwOXefC+wGbonKbwF2u/trgc9F+4mI\nSIISCTruvtbdny/z1o3Afe5+yN3XA23AgujR5u4vufth4D7gRjMz4Crgu9HxS4F3FH3W0uj1d4Gr\no/1FRCQhaRvTmQFsKtruiMr6Kz8Z2OPuXSXlfT4ren9vtP9RzGyRmbWaWeuOHTsqdCoiIlKqainT\nZvZT4JQyby129wf6O6xMmVM+OPoA+w/0WUcXujcDzRBWDu2nbiIiMkJVCzrufs0wDusAZhVtzwS2\nRK/Lle8EJprZ6Kg1U7x/4bM6zGw08Bpg1zDqJCIiFZK27rVlwM1R5tkcYC7wBLASmBtlqo0hJBss\nc3cHHgHeFR2/EHig6LMWRq/fBfws2l9ERBKSVMr0O82sA7gU+KGZPQTg7quB+4E1wI+BD7t7d9SK\nuRV4CFgL3B/tC3Ab8Ldm1kYYs/l6VP514OSo/G+B/06zFhGRZJgu/vtqbGz01tbWpKshIpIpZrbK\n3RsH2y9t3WsiIpJjCjoiIhIbBR0REYmNgo6IiMRGQUdERGKjoCMiIrFR0BERkdgo6IiISGwUdERE\nJDYKOiIiEhsFHRERiY2CTgW1tEBDA9TVheeWlqRrJCKSLlVbT6fWtLTAokXQ2Rm229vDNkBTU3L1\nEhFJE7V0KmTx4t6AU9DZGcpFRCRQ0KmQjRuHVi4iUosUdCpk9uyhlYuI1CIFnQpZsgTGjetbNm5c\nKBcRkUBBp0KamqC5GerrwSw8NzcriUBEpJiy1yqoqUlBRkRkIGrpiIhIbBR0REQkNgo6IiISGwUd\nERGJjYKOiIjExtw96TqkipntANqTrscwTAF2Jl2JmNXiOUNtnnctnjNk67zr3X3qYDsp6OSEmbW6\ne2PS9YhTLZ4z1OZ51+I5Qz7PW91rIiISGwUdERGJjYJOfjQnXYEE1OI5Q22edy2eM+TwvDWmIyIi\nsVFLR0REYqOgIyIisVHQyQkz+3szczObEm2bmX3ezNrM7BkzuzDpOlaKmf2LmT0Xndf3zWxi0Xt3\nROf8vJkQZ7oPAAAEDklEQVRdn2Q9K83MbojOq83Mbk+6PtViZrPM7BEzW2tmq83sr6LyyWa23MzW\nRc+Tkq5rpZnZKDN70sx+EG3PMbPHo3P+tpmNSbqOI6WgkwNmNgu4FiheHPstwNzosQi4J4GqVcty\n4Fx3Pw94AbgDwMzmATcD5wA3AF8ys1GJ1bKCovP4IuG/6zzgPdH55lEX8Hfu/jrgEuDD0bneDjzs\n7nOBh6PtvPkrYG3R9qeBz0XnvBu4JZFaVZCCTj58DvgHoDgr5Ebgmx6sACaa2amJ1K7C3P0n7t4V\nba4AZkavbwTuc/dD7r4eaAMWJFHHKlgAtLn7S+5+GLiPcL654+5b3f230ev9hB/hGYTzXRrtthR4\nRzI1rA4zmwn8IfC1aNuAq4DvRrvk4pwVdDLOzN4ObHb3p0vemgFsKtruiMry5n8AP4pe5/mc83xu\n/TKzBuAC4HFgurtvhRCYgGnJ1awq/i/h4rEn2j4Z2FN0gZWL/+ZaOTQDzOynwCll3loMfBS4rtxh\nZcoykx8/0Dm7+wPRPosJXTEthcPK7J+Zcx5Ens+tLDM7Cfgv4K/dfV+48M8nM3sbsN3dV5nZmwrF\nZXbN/H9zBZ0McPdrypWb2euBOcDT0R/kTOC3ZraAcFU0q2j3mcCWKle1Yvo75wIzWwi8Dbjae282\ny/Q5DyLP53YUMzuOEHBa3P17UfHLZnaqu2+Nuoq3J1fDirsceLuZvRU4HphAaPlMNLPRUWsnF//N\n1b2WYe7+O3ef5u4N7t5A+GG60N23AcuA90ZZbJcAewtdE1lnZjcAtwFvd/fOoreWATeb2Vgzm0NI\nongiiTpWwUpgbpTNNIaQMLEs4TpVRTSW8XVgrbt/tuitZcDC6PVC4IG461Yt7n6Hu8+M/o5vBn7m\n7k3AI8C7ot1ycc5q6eTXg8BbCYPpncCfJ1udivoCMBZYHrXwVrj7B919tZndD6whdLt92N27E6xn\nxbh7l5ndCjwEjALudffVCVerWi4H/gz4nZk9FZV9FLgbuN/MbiFkat6UUP3idBtwn5l9CniSEIwz\nTdPgiIhIbNS9JiIisVHQERGR2CjoiIhIbBR0REQkNgo6IiISGwUdkRSLZlxeb2aTo+1J0XZ90nUT\nGQ4FHZEUc/dNhBnC746K7gaa3b09uVqJDJ/u0xFJuWhKmFXAvcAHgAuimaZFMkczEoiknLsfMbOP\nAD8GrlPAkSxT95pINrwF2Aqcm3RFREZCQUck5cxsPmFl2EuAv8nLYnxSmxR0RFIsmnH5HsKaMhuB\nfwH+NdlaiQyfgo5Iun0A2Ojuy6PtLwFnm9kbE6yTyLApe01ERGKjlo6IiMRGQUdERGKjoCMiIrFR\n0BERkdgo6IiISGwUdEREJDYKOiIiEpv/DyBT82rrcsm3AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f5ad910>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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amdWDg07Obd+eAs6IEamF4znUzKyROejkWKmFM2LE0KzwaWZWa76VsEb6u+xx\naQzHAcfMisQtnRooLXtcWoOjtOwxVJ6xeMeOrjGc885zwDGz4nBLpwb6s676rl0p4HR2egzHzIrH\nQacG+rrs8Z49KeDs25fuw3GWmpkVjYNODfQ0TU15+d69aWqb3bth3jx41atqUzczs1py0KmBgy17\n3NGRFl/bvj1NbXPUUbWvo5lZLTjo1EBv66pHwEMPwYsvwllnweTJ9a6tmdnQcfZajTQ3V85UW74c\nNmyAOXNg6tTa18vMrJZy19KR9BlJ6yQ9nG2Xlr12raQ2SU9IurisfH5W1ibpmrLy4yXdL+kpST+U\nNLrW19ObtjZ49lk48UQ44YR618bMbOjlLuhkvhIRZ2bb7QCSTgWuBOYA84FvSBopaSTwdeAS4FTg\nquxYgC9m7zUbeAl4X60vpCfr1sGKFal1c8op9a6NmVlt5DXoVHIZcEtE7ImIZ4E2YF62tUXEMxHR\nDtwCXCZJwFuAH2fn3wRcXod6H2DLFnj44ZQwcOaZaZzHzGw4yGvQuVrSI5JulDQhK5sKrCk7Zm1W\n1lP5RGBrROzrVn4ASQsltUpq3bx5czWv4wA7d6ZMtcMOg9e9Lk1z0xf9nUbHzCyP6hJ0JN0l6bEK\n22XADcCJwJnABuDvS6dVeKsYQPmBhRGLI6IpIpomTZrU7+vpq7174YEHUsbavHkwuo8jTKVpdFat\nSueWptFx4DGzRlOX7LWIuKgvx0n6FvCz7OlaYHrZy9OA9dl+pfIXgPGSRmWtnfLjay4CHnwwTeR5\n7rn9m96mt2l0KmXEmZnlVe661yRNKXv6R8Bj2f4S4EpJYyQdD8wGHgCWArOzTLXRpGSDJRERwD3A\nO7PzFwC31eIaKlm5EjZtgtNPh6OP7t+5fZ1Gx8ws7/J4n86XJJ1J6gp7DvhzgIhYLulW4HFgH/Ch\niOgAkHQ1cAcwErgxIpZn7/Vx4BZJnwceAr5TywspWbcupUfPnJm2/poxI3WpVSo3M2skuQs6EfGn\nvby2CFhUofx24PYK5c+QstvqZtu2rky1007r+3ktLan7bPXqdO7o0dDe3vV6+TQ6ZmaNInfda0XS\n3p4y1caMSXOq9SdTrTxx4MUX0+PEiQdOo2Nm1khy19IpilLiwJ49cP75KfD0VaXEgb17U/LBCy9U\nt55mZrXkls4QefJJ2Lw5JQ6MH9+/c504YGZF5aAzBJ5/PgWdGTMGNtjfl/V3zMwakYNOle3alZYq\nOPLI/iWC0kMQAAAKCUlEQVQOlDvY+jtmZo3KQaeKOjth2bI0ntPUBCNHDux9elt/x8yskTmRoIpW\nroSXXoK5c2HcuMG9V0/r75iZNTK3dKpk40Z4+uk0Gedxx9W7NmZm+eSgUyVbt8KrXpVWADUzs8rc\nvVYlJ58Ms2f3/QZQM7PhyF+RVTTQxAEzs+HCQcfMzGrGQcfMzGrGQcfMzGrGQcfMzGrGQcfMzGrG\nQcfMzGrGQcfMzGomV0FH0g8lPZxtz0l6OCufJWlX2Wv/VHbOXEmPSmqT9FVJysqPknSnpKeyxwn1\nui4zM0tyFXQi4r9GxJkRcSbwL8BPyl5+uvRaRLy/rPwGYCEwO9vmZ+XXAHdHxGzg7uy5mZnVUa6C\nTknWWnkX8IODHDcFODIifhsRAXwPuDx7+TLgpmz/prJyMzOrk1wGHeAC4PmIeKqs7HhJD0m6V9IF\nWdlUYG3ZMWuzMoBjImIDQPY4uacPk7RQUquk1s2bN1fvKszMbD81n/BT0l3AsRVeui4ibsv2r2L/\nVs4GYEZEvChpLvCvkuYAqvA+0d86RcRiYDFAU1NTv883M7O+qXnQiYiLentd0ijgj4G5ZefsAfZk\n+8skPQ2cRGrZTCs7fRqwPtt/XtKUiNiQdcNtqt5VmJnZQOSxe+0iYGVE/L7bTNIkSSOz/RNICQPP\nZN1mL0s6NxsHeg9Qai0tARZk+wvKys3MrE7yuJ7OlRyYQPBG4LOS9gEdwPsjYkv22geA7wKHAT/P\nNoDrgVslvQ9YDVwxxPU2M7ODUEr6spKmpqZobW2tdzXMzBqKpGUR0XSw4/LYvWZmZgXloGNmZjXj\noGO51NICs2bBiBHpsaWl3jUys2rIYyKBDXMtLbBwIezcmZ6vWpWeAzQ3169eZjZ4bulY7lx3XVfA\nKdm5M5WbWWNz0LHcWb26f+Vm1jgcdCx3ZszoX7mZNQ4HHcudRYtg7Nj9y8aOTeVm1tgcdCx3mpth\n8WKYOROk9Lh4sZMIzIrA2WuWS83NDjJmReSWjpmZ1YyDjpmZ1YyDjpmZ1YyDjpmZ1YyDjpmZ1YyD\nzhDzxJVmZl2cMj2EPHGlmdn+3NIZQp640sxsfw46Q8gTV5qZ7a8uQUfSFZKWS+qU1NTttWsltUl6\nQtLFZeXzs7I2SdeUlR8v6X5JT0n6oaTRWfmY7Hlb9vqsWl1fiSeuNDPbX71aOo8Bfwz83/JCSacC\nVwJzgPnANySNlDQS+DpwCXAqcFV2LMAXga9ExGzgJeB9Wfn7gJci4tXAV7LjaqooE1c6GcLMqqUu\nQSciVkTEExVeugy4JSL2RMSzQBswL9vaIuKZiGgHbgEukyTgLcCPs/NvAi4ve6+bsv0fAxdmx9dM\nESauLCVDrFoFEV3JEA48ZjYQeRvTmQqsKXu+NivrqXwisDUi9nUr3++9ste3ZccfQNJCSa2SWjdv\n3lylS0mam+G556CzMz02UsABJ0OYWXUNWcq0pLuAYyu8dF1E3NbTaRXKgsrBMXo5vrf3OrAwYjGw\nGKCpqaniMcOVkyHMrJqGLOhExEUDOG0tML3s+TRgfbZfqfwFYLykUVlrpvz40nutlTQKeBWwZQB1\nGtZmzEhdapXKzcz6K2/da0uAK7PMs+OB2cADwFJgdpapNpqUbLAkIgK4B3hndv4C4Lay91qQ7b8T\n+FV2vPVDUZIhzCwf6pUy/UeS1gLnAf8u6Q6AiFgO3Ao8DvwC+FBEdGStmKuBO4AVwK3ZsQAfB/5S\nUhtpzOY7Wfl3gIlZ+V8Cv0+ztr4rQjKEmeWH/ON/f01NTdHa2lrvapiZNRRJyyKi6WDH5a17zczM\nCsxBx8zMasZBx8zMasZBx8zMasZBx8zMasbZa91I2gxUuB0y944m3Sw7nAzHa4bhed3D8Zqhsa57\nZkRMOthBDjoFIam1L+mKRTIcrxmG53UPx2uGYl63u9fMzKxmHHTMzKxmHHSKY3G9K1AHw/GaYXhe\n93C8ZijgdXtMx8zMasYtHTMzqxkHHTMzqxkHnYKQ9FeSQtLR2XNJ+qqkNkmPSDq73nWsFklflrQy\nu66fShpf9tq12TU/Ienietaz2iTNz66rTVJhl+qQNF3SPZJWSFou6cNZ+VGS7pT0VPY4od51rTZJ\nIyU9JOln2fPjJd2fXfMPs/XEGpqDTgFImg68FShfRPoS0iJ4s4GFwA11qNpQuRM4LSJeCzwJXAsg\n6VTSAn9zgPnANySNrFstqyi7jq+T/q6nAldl11tE+4CPRcQpwLnAh7JrvQa4OyJmA3dTzDWyPkxa\nM6zki8BXsmt+CXhfXWpVRQ46xfAV4H8B5VkhlwHfi+Q+0rLeU+pSuyqLiF9mC/sB3EdaphzSNd8S\nEXsi4lmgDZhXjzoOgXlAW0Q8ExHtwC2k6y2ciNgQEQ9m+y+TvoSnkq73puywm4DL61PDoSFpGvCH\nwLez5wLeAvw4O6QQ1+yg0+AkvQNYFxG/6/bSVGBN2fO1WVnR/Hfg59l+ka+5yNfWI0mzgLOA+4Fj\nImIDpMAETK5fzYbE/yb9eOzMnk8Etpb9wCrE33xUvStgByfpLuDYCi9dB3wCeFul0yqUNUx+fG/X\nHBG3ZcdcR+qKaSmdVuH4hrnmgyjytVUk6XDgX4CPRMT29MO/mCS9HdgUEcskvblUXOHQhv+bO+g0\ngIi4qFK5pNOB44HfZf9DTgMelDSP9Ktoetnh04D1Q1zVqunpmkskLQDeDlwYXTebNfQ1H0SRr+0A\nkg4hBZyWiPhJVvy8pCkRsSHrKt5UvxpW3fnAOyRdChwKHElq+YyXNCpr7RTib+7utQYWEY9GxOSI\nmBURs0hfTGdHxEZgCfCeLIvtXGBbqWui0UmaD3wceEdE7Cx7aQlwpaQxko4nJVE8UI86DoGlwOws\nm2k0KWFiSZ3rNCSysYzvACsi4h/KXloCLMj2FwC31bpuQyUiro2Iadn/x1cCv4qIZuAe4J3ZYYW4\nZrd0iut24FLSYPpO4L31rU5VfQ0YA9yZtfDui4j3R8RySbcCj5O63T4UER11rGfVRMQ+SVcDdwAj\ngRsjYnmdqzVUzgf+FHhU0sNZ2SeA64FbJb2PlKl5RZ3qV0sfB26R9HngIVIwbmieBsfMzGrG3Wtm\nZlYzDjpmZlYzDjpmZlYzDjpmZlYzDjpmZlYzDjpmOZbNuPyspKOy5xOy5zPrXTezgXDQMcuxiFhD\nmiH8+qzoemBxRKyqX63MBs736ZjlXDYlzDLgRuDPgLOymabNGo5nJDDLuYjYK+l/Ar8A3uaAY43M\n3WtmjeESYANwWr0rYjYYDjpmOSfpTNLKsOcCHy3KYnw2PDnomOVYNuPyDaQ1ZVYDXwb+rr61Mhs4\nBx2zfPszYHVE3Jk9/wZwsqQ31bFOZgPm7DUzM6sZt3TMzKxmHHTMzKxmHHTMzKxmHHTMzKxmHHTM\nzKxmHHTMzKxmHHTMzKxm/j8+BYLjZj+JfQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a101ec150>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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QCSzMts6IeCwiXgRuAC6UJOBc4OvZ+dcDby+g3i/x4oupS62WNOCAY1XjpAgb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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x102d47b10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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++PAQVMaPL2lWe6VvkpWjFn4X6rlYfiULLu7+np6Om9li4P3A9d412KYVmJZ3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\ni4iIJE7BRUREEqfgIiIiifv/iu2Sodyf/tAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a106958d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1a10d6cc90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kPS7pHVXpV2RpXZKuq0qfK2mlpHWSviVpbN73M5i+vlSltndvqlI77riic5Q/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\ngTARAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a101b8250>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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FXWSvL2eHbwKmFp0+BdjSR7qZWUMrFIW9/DKcdx5MmdK9L89BPHMNLpLGSDq6sA5cBawB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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10154850>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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FTp1s3Bh2jV60CKZMSbo2IvHSN/neFaHF2xcKnTo580y46CKYMSPpmojET9/k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\nRqEjIiKxUeiIiEhsFDoiIhKb/w8Tq0/d17y0ngAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10d830d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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jUsCZMiXvHJXXaEuC57kip1m7KFzQyXwmIpZm260Aks4ArgDOBFYAX5DUkS1h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\nZmbWNA46ZmbWNA46ZmbWNP8f9zZ23OsOSLEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a1020fcd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fd07350>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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s2JFWhzx4EF7/+qMDC3g+JTPLn4NLA9mwAR5+uKd95eSTq5/bSu0lnmjTrHg8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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f672bd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f66f910>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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oqrVMngxvfGPat77eeXMus/Lp69piefW5fA0YDSyW9HgWFIiIFcDdwFPAj4Dr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\nOQcXMzMrOQcXMzMruf8Pq1qbJ1b8qnQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f7fea10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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SNBu4FnhXRGypKp8gqSO7fyIwHViWdZ9tknR+lrX2fuAH2WF3AFdm96+sKm8L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\nC9eCWAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a101b6710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kLsaXXAInnlh0jszMuudqsYL0ZQDb7t1HAsullzqwmFn9c8mlAH1ZkGrPnhRY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\nwHAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f7dd510>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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kRv+1WVC6F3h/dv1y4K563UfZ7d0LP/hBCiyvex1ceaUDi5nVR1G9xT4HnArc\nI+kRSf8HICI2AncCTwD/AnwkIvqyUslHgbuBTcCd2bmQgtRvSOoitcHcVt9bKafnn0+B5eDBVA22\nYIGXF7Z8tNJUPjZ6HqHfhLZsgc2b0zLDb3pTmh7fLA+eysc85X4L6utLvcE2b07r1r/1rQ4slq+V\nK48NLJD2V64sJj9WXmXoimw5OHgwjbTfvRsuvjh1NTbLm6fyseFyyaUJvPoq/PCH8MorqRrMgcVq\nxVP52HA5uDS4l15KK0T29cFb3gJnVxtZZJYTT+Vjw+Xg0sB27oT770/di2s5N5hZP0/lY8PlNpcG\ntXVrmiZ/2jRYvDjNamxWD57Kx4bDwaUBdXWlhb3OOguuuGL0Sw+bmdWKg0uD2bw5jWOZPRsWLqzf\nxJNmZiPh4NJAHn8cnn469cy57DKPuDez8nJwaRAbNqT15s87L60WaWZWZg4uDaA/sJx/fhogaWZW\ndq6xLzkHFjNrRA4uJbZxowOLmTUmB5eS2rwZnnoK5s93YDGzxuPgUkJdXam78bx5cOmlRefGzGzk\nHFxKZuvWNEBy9uzU3djMrBEVGlwk/ZakkDQz25ekz0rqkvSYpEUV5y6XtCXbllekXyFpQ3bNZ6XG\nHf3x3HPw2GNp5P3ChR7HYmaNq7DgImku8C6gciWIdwMLsm0F8MXs3BnAJ4ErgcXAJyVNz675YnZu\n/3VL65H/vL30Ejz0EEyfnqZ08ch7M2tkRX6F3Qr8DlC5zvL1wFciuR+YJukc4DrgnojYFRG7gXuA\npdmx0yLivkjrNX8FeF99b2PsXnkFHngATj4ZrrzSc4WZWeMrJLhIei/wbEQ8OuDQbGB7xX53lnai\n9O4q6YO97wpJnZI6e3p6xnAH+TlwANatg5NOSoFlwoSic2RmNnY1G6Ev6V+BaktXrQRuBq6tdlmV\ntBhFelURsRpYDdDR0THoefXS25sCS2+v17s3s+ZSs+ASEe+sli7pDcB84NGs7X0O8JCkxaSSx9yK\n0+cAO7L0dwxI/36WPqfK+aV35Ah0dqYliq+8Ek47regcmZnlp+7VYhGxISLOjIj2iGgnBYhFEbET\nWAt8IOs1tgTYExHPAXcD10qanjXkXwvcnR17VdKSrJfYB4C76n1Po7FxI/T0pO7Gs2YVnRszs3yV\nrU/St4CngC7gr4EPA0TELuCPgQez7Y+yNIAPAV/Krvkx8O0653nEnnnm6LQu8+aN/nXWrIH29tSz\nrL097VvWpO+yAAALLklEQVTr8t+DlYlSJ6vW09HREZ2dnXV/356e1M5y5pnwpjeNfizLmjWwYgXs\n23c0bepUr2feqvz3YPUiaX1EdAx5noNL/bz2GvzgBzB5MrztbamH2Gi1t6fR/AO1taVSkbUW/z1Y\nvQw3uJStWqxp9fbCgw+mksrixWMLLADbto0s3Zqb/x6sbBxc6uSRR2Dv3jT6furUsb/eYG01A9Nd\nD19ueX0+w/17MKsXB5c66OpK84a9/vUwc2Y+r7lq1fFBaurUlN6vvx5+61aISI8rVjjAlEWen89w\n/h7M6snBpcZ6etLaLLNnp95heVm2LDXWtrWlqra2tuMbb1euPLaBF9L+ypX55cNGL8/PZzh/D2b1\n5Ab9GjpwAP7t32DSJLjqqvrPGTZuXPpFPJCUBnGW0Zo16ct127ZUpbNqVfN+QTbi52PmBv2CHTkC\n69enx46OYiajbLR6+Farxmu0z8dsJBxcamTzZti1C974RjjllGLy0Gj18K1Wjddon4/ZSDi41MDO\nnfDjH6feP+eeW1w+Gq0evtW60zba52M2Em5zydn+/amdZerUNFDSi34NnwcCmpWf21wKEJFWk4zw\napKj4Wois+bhr78cbdmS2lne8Ia0qqSNjKuJzJpHzdZzaTW7dsGPfgRz5qTNRmfZMgcTs2bgkksO\nDh9O1WFTp6ZSi5lZq3NwycHjj6cBk4sWjX1CSjOzZlBYcJH0vyU9KWmjpM9UpN8kqSs7dl1F+tIs\nrUvSJyrS50taJ2mLpK9LmljP+9ixA7q74cILYdq0er6zmVl5FRJcJP034Hrgsoi4BPizLP1i4Abg\nEmAp8AVJ4yWNBz4PvBu4GPi57FyATwO3RsQCYDdwY73u48ABeOyxFFQuuKBe72pmVn5FlVw+BNwS\nEQcBIuKFLP164I6IOBgRT5OWLl6cbV0R8VREHALuAK6XJOBq4BvZ9bcD76vXTTzySJreZdGi+nc7\n9lT6o+d/O7PaKyq4XAhclVVn/ZukN2Xps4HtFed1Z2mDpZ8BvBwRvQPSa27r1jTj8cUX17/bcavN\nwZUn/9uZ1UfNgoukf5X0eJXtelIX6OnAEuC3gTuzUki1FeVjFOmD5WmFpE5JnT09PSO+p3779sET\nT6S1WdraRv0yo9Zqc3Dlyf92ZvVRs75NEfHOwY5J+hDwzUhzzzwg6Qgwk1TymFtx6hxgR/a8WvqL\nwDRJJ2Wll8rzq+VpNbAa0vQvI74p0q/dRx9NzxcuTIP96q3V5uDKk//tzOqjqGqx/0dqK0HShcBE\nUqBYC9wgaZKk+cAC4AHgQWBB1jNsIqnRf20WnO4F3p+97nLgrlpmfOtWePFFuOQSmDKllu80OE/V\nPnr+tzOrj6KCy5eB8yQ9TmqcXx7JRuBO4AngX4CPRERfVir5KHA3sAm4MzsX4OPAb0jqIrXB3Far\nTB85Ak89BbNmFftl5Dm4Rs//dmb14VmRR+jQoRRkJk+uQaZGoJVWbMyb/+3MRm+4syI7uJiZ2bB5\nyn0zMyuMg4uZmeXOwcXMzHLn4FJCnp7EzBqdJ4gvmf7pSfpHkfdPTwLu0WRmjcMll5Lx9CRm1gwc\nXErG05OYWTNwcCkZT09iZs3AwaVkPD2JmTUDB5eSWbYMVq9OU/lL6XH1ajfmm1ljcW+xElq2zMHE\nzBqbSy5mZpY7BxczG5QH9NpouVrMzKrygF4bC5dczKwqD+i1sSgkuEhaKOl+SY9I6pS0OEuXpM9K\n6pL0mKRFFdcsl7Ql25ZXpF8haUN2zWelIla1N2s+HtBrY1FUyeUzwB9GxELg97N9gHcDC7JtBfBF\nAEkzgE8CVwKLgU9Kmp5d88Xs3P7rltbpHsyamgf02lgUFVwCOC17fjqwI3t+PfCVSO4Hpkk6B7gO\nuCcidkXEbuAeYGl27LSIuC/SkppfAd5X1zsxa1Ie0GtjUVSD/q8Bd0v6M1KAe0uWPhvYXnFed5Z2\novTuKulVSVpBKuUwzz+/zE6ov9F+5cpUFTZvXgosbsy34ahZcJH0r8DZVQ6tBK4Bfj0i/kHSzwK3\nAe8EqrWXxCjSq4qI1cBqgI6OjkHPM7PEA3pttGoWXCLinYMdk/QV4GPZ7t8DX8qedwNzK06dQ6oy\n6wbeMSD9+1n6nCrnm5lZgYpqc9kBvD17fjWwJXu+FvhA1mtsCbAnIp4D7gaulTQ9a8i/Frg7O/aq\npCVZL7EPAHfV9U7MzOw4RbW5fBD4S0knAQfI2kGAbwE/CXQB+4BfBIiIXZL+GHgwO++PImJX9vxD\nwN8CU4BvZ5uZmRVIqZNV6+no6IjOzs6is2Fm1lAkrY+IjqHO8wh9MzPLXcuWXCT1AFuLzscozARe\nLDoTddaK9wyted+teM/QWPfdFhGzhjqpZYNLo5LUOZwiaTNpxXuG1rzvVrxnaM77drWYmZnlzsHF\nzMxy5+DSeFYXnYECtOI9Q2vedyveMzThfbvNxczMcueSi5mZ5c7BxczMcufg0kAk/ZakkDQz2x90\n5c5mIOlPJW3O7u0fJU2rOHZTdt9PSrquyHzmTdLS7L66JH2i6PzUiqS5ku6VtEnSRkkfy9JnSLon\nW3X2noqFAZuGpPGSHpb0T9n+fEnrsnv+uqSJRedxrBxcGoSkucC7gMpFZquu3NlE7gEujYjLgB8B\nNwFIuhi4AbiEtPLoFySNLyyXOcru4/Okz/Zi4Oey+21GvcBvRsTrgSXAR7J7/QTw3YhYAHw32282\nHwM2Vex/Grg1u+fdwI2F5CpHDi6N41bgdzh2vZrBVu5sChHxnYjozXbv5+jyCtcDd0TEwYh4mjTR\n6eIi8lgDi4GuiHgqIg4Bd5Dut+lExHMR8VD2/FXSl+1s0v3enp12O022uqykOcBPkS01ks3ofjXw\njeyUprhnB5cGIOm9wLMR8eiAQ4Ot0NmMfomjM1438303870NSlI7cDmwDjgrW06D7PHM4nJWE39B\n+qF4JNs/A3i54odUU3zmRU25bwMMsXLnzaQ1bI67rEpaQ/UtP9F9R8Rd2TkrSVUoa/ovq3J+Q933\nCTTzvVUl6RTgH4Bfi4hX0g/55iTpPcALEbFe0jv6k6uc2vCfuYNLSQy2cqekNwDzgUez/3RzgIck\nLWbwlTsbxolWLAWQtBx4D3BNHB2U1fD3fQLNfG/HkTSBFFjWRMQ3s+TnJZ0TEc9l1bwvFJfD3L0V\neK+knwQmA6eRSjLTJJ2UlV6a4jN3tVjJRcSGiDgzItojop305bMoInYy+MqdTUHSUuDjwHsjYl/F\nobXADZImSZpP6tDwQBF5rIEHgQVZ76GJpI4LawvOU01kbQ23AZsi4s8rDq0FlmfPl9NEq8tGxE0R\nMSf7v3wD8L2IWAbcC7w/O60p7tkll8ZWdeXOJvI5YBJwT1Zquz8ifiUiNkq6E3iCVF32kYjoKzCf\nuYmIXkkfJS3tPR74ckRsLDhbtfJW4BeADZIeydJuBm4B7pR0I6l35M8UlL96+jhwh6RPAQ+Tgm5D\n8/QvZmaWO1eLmZlZ7hxczMwsdw4uZmaWOwcXMzPLnYOLmZnlzsHFrASyGYKfljQj25+e7bcVnTez\n0XBwMSuBiNhOmtX6lizpFmB1RGwtLldmo+dxLmYlkU2Fsh74MvBB4PJsZmSzhuMR+mYlERGHJf02\n8C/AtQ4s1shcLWZWLu8GngMuLTojZmPh4GJWEpIWklYbXQL8ejMt/Gatx8HFrASyGYK/SFrTZBvw\np8CfFZsrs9FzcDErhw8C2yLinmz/C8DrJL29wDyZjZp7i5mZWe5ccjEzs9w5uJiZWe4cXMzMLHcO\nLmZmljsHFzMzy52Di5mZ5c7BxczMcvf/AUCdF/ZaARU5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10155690>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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3AB1Apbl4CzAlIp6XdBHwH5LOBbr7iex3H+qIWAgshNQVub/n16uOjtTFePPm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\nStjgatXAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a1015d8d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"---------------------- Test set Below ----------------------\n"
]
},
{
"data": {
"image/png": 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9e6CxMT3rvr4+rTZsZlYr+tp9Lj8ArgOagBbggwARsUPS54BHc73PRsSO/P6j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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10155110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Sampling data with noise\n",
"num_samps = 40\n",
"num_sets = 20 \n",
"\n",
"X_tr, Y_tr, X_te, Y_te, Fx_te, eps_te = prepare_training_sets(data_eqn, x_range, num_samps, num_sets)\n",
"\n",
"\n",
"for i in range(num_sets):\n",
" #draw_dot_plot_subplot(data_eqn, x_range, X_tr[i], Y_tr[i], 10, 2, i+1)\n",
" draw_dot_plot(data_eqn, x_range, X_tr[i], Y_tr[i])\n",
" \n",
"print \"---------------------- Test set Below ----------------------\"\n",
"\n",
"draw_dot_plot(data_eqn, x_range, X_te, Y_te)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fit Ridge Regression model on each training set"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IaxRcItKVJnbS7VBEpDUZuytyVzR3bn4Gk8bqz1G3QxGR5ii4SId0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\nIhK5/x+dhcX0YSMNEAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fa90550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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sVo25Zn8NAMUnF/PhMz9M+fhy5pTMYdSAUQAsHpb9wVVEjlHQkW61ff/2RICp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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0ff578d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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UYO+BvWzcsbFqp313bzd7D+49kleIudPm0t7azpLnLDmmj+WMyWecUG1luKoN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\ns1QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f9f5bd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Urqnl2fXPcqTpCH169WFa+TTum3kf1ROqOX/k+fQq6RVJnTQNThuaBkdE8pW7s2rnqmRL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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0faa38d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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FTDlrCn269SH3u7Bh74n7tyZQROVvJhI1jY7pmNkC4P9x9/VJLVGKtfeYTmvH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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f67b490>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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NAx4ERgINwFx3/4GZ3QHcAGwNq37V3R8N29wOXA/UA59398dC+pXAD4A84F53vyvOsohI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\nR0REYqOgIyIisfn/r4Ms/rFecM4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10d8f1d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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6uHMJ675Z+2FSzr8ka0czvBeevVhdRc0WmwlcDBwfEaUf6cXA9yV9hWxAfypw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\njTguyJUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fd5c950>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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/jqLL86/ctJIntz3ZeomYSWMmUVdTx0de85HWFOVjJxxbEZOM+SrcZkOHu9fa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\nUbfgPQeJAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a109336d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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PmI9+1McdmNn0cuiUoKi9iWYdnY2O4/nyl33cgZlNL4dOwYo8irlZR2ejA9tG\n697r1ksNtJqbLs08kGAr0z2QoNlBm0V27o92YFsjHngwdfVn94a01+nRTtYpPJCgoqpyws3R+ntU\ndxUiH3fQGj5lilni0ClYVU64OVp/z6mn+riD6VCVjQ2zsjl0ClaVo5hH6+85/3xfamA6VGVjw6xs\nDp2CVekoZl/LpjhV2dgwK5tP+FkCn3Cz+wx/3z67t3U7h45ZQbyxYebmNTMzK5BDx8zMCuPQMTOz\nwlQqdCRdJum2fFsr6bZc3iPpuZppX65Z5lBJd0galPQlKR3eKGkXSVdLujff71zWepmZWVKp0ImI\n342IgyPiYOBbwLdrJt83PC0iTq0pvwBYDizMt8W5/Azg2ohYCFybn5uZWYkqFTrD8t7Ke4FvjDHf\nXsCOEfH/Ip1E7mLg+Dx5CXBRfnxRTbmZmZWkkqEDvBl4NCLurSlbIOnHkm6U9OZcNgdYXzPP+lwG\nsEdEbADI97uP9maSlksakDSwcePG1q2FmZmNUPhxOpKuAfZsMGlFRFyRH5/EyL2cDcC8iHhC0qHA\ndyQdBKj+RYAJnzY7IvqAPkhnmZ7o8mZmNj6Fh05EHNFsuqRtgHcBh9Ys8zzwfH68WtJ9wP6kPZu5\nNYvPBR7Jjx+VtFdEbMjNcI+1bi3MzGwyqti8dgTw04h4sdlM0mxJM/PjfUkDBu7PzWa/kPTG3A/0\nAWB4b2kVsCw/XlZTbmZmJaniaXBOZOsBBP8T+IykF4DNwKkR8WSe9nvA14CXAt/PN4CzgcslnQI8\nCLxnmuttZmZj8JVD60z3lUPNzDqRrxxqZmaV49AxM7PCOHTMzKwwDh0zMyuMQ8fMzArj0DEzs8I4\ndMzMrDAOHTMzK4xDx8zMCuPQMTOzwjh0zMysMA4dMzMrjEPHzMwK49AxM7PCOHTMzKwwDh0zMyuM\nQ8fMzArj0DEzs8I4dMxsTP390NMDM2ak+/7+smtk7aqU0JH0HklrJA1J6q2bdqakQUn3SDqqpnxx\nLhuUdEZN+QJJN0u6V9JlkrbL5dvn54N5ek9R62fWSfr7YflyWLcOItL98uUOHpucsvZ07gTeBfx7\nbaGkA4ETgYOAxcD5kmZKmgmcBxwNHAiclOcF+CxwbkQsBJ4CTsnlpwBPRcR+wLl5PjOboBUrYNOm\nkWWbNqVys4kqJXQi4u6IuKfBpCXApRHxfEQ8AAwCh+XbYETcHxG/Ai4FlkgS8Fbgm3n5i4Dja17r\novz4m8CffmLNAAAF/0lEQVTb8vxmNgEPPjixcrNmqtanMwd4qOb5+lw2WvmuwNMR8UJd+YjXytN/\nnuffiqTlkgYkDWzcuLFFq2LWGebNm1i5WTPTFjqSrpF0Z4PbkmaLNSiLSZQ3e62tCyP6IqI3Inpn\nz57dpHpm3WflSpg1a2TZrFmp3GyitpmuF46IIyax2Hpgn5rnc4FH8uNG5Y8DO0naJu/N1M4//Frr\nJW0DvAJ4chJ1MutqS5em+xUrUpPavHkpcIbLzSaias1rq4AT88izBcBC4BbgVmBhHqm2HWmwwaqI\nCOB64N15+WXAFTWvtSw/fjdwXZ7fzCZo6VJYuxaGhtK9A8cmq6wh0ydIWg/8JvA9SVcBRMQa4HLg\nLuAHwGkRsTnvxZwOXAXcDVye5wX4FPCHkgZJfTZfzeVfBXbN5X8IvDjM2szMyiFv/I/U29sbAwMD\nZVfDzKytSFodEb1jzVe15jUzM+tgDh0zMyuMQ8fMzArjPp06kjYC68quxyTsRhpC3m283t2jG9cZ\n2me950fEmAc6OnQ6hKSB8XTidRqvd/foxnWGzltvN6+ZmVlhHDpmZlYYh07n6Cu7AiXxenePblxn\n6LD1dp+OmZkVxns6ZmZWGIeOmZkVxqHTIST9kaSQtFt+LklfkjQo6XZJh5Rdx1aR9HlJP83r9a+S\ndqqZdmZe53skHVVmPaeDpMV53QYldexJbCXtI+l6SXdLWiPpY7l8F0lXS7o33+9cdl1bTdJMST+W\n9N38fIGkm/M6X5bPtN+2HDodQNI+wNuB2gsIH026NMRCYDlwQQlVmy5XA6+JiNcB/wWcCSDpQNJl\nLw4CFgPnS5pZWi1bLK/LeaTv9kDgpLzOnegF4BMR8WrgjcBpeV3PAK6NiIXAtXTm2eM/Rjqb/rDP\nAufmdX4KOKWUWrWIQ6cznAt8kpFXRl0CXBzJTaSL3e1VSu1aLCJ+WHOJ8ptIF++DtM6XRsTzEfEA\nMAgcVkYdp8lhwGBE3B8RvwIuJa1zx4mIDRHxo/z4F6R/wnNI63tRnu0i4Phyajg9JM0F3gH8Y34u\n4K3AN/Msbb/ODp02J+k44OGI+EndpDnAQzXP1+eyTnMy8P38uNPXudPXryFJPcDrgZuBPSJiA6Rg\nAnYvr2bT4m9JG5BD+fmuwNM1G1lt/51P2+WqrXUkXQPs2WDSCuBPgCMbLdagrG3Gxzdb54i4Is+z\ngtQM0z+8WIP522adx6HT128rkl4OfAv4eEQ8kzb8O5OkY4HHImK1pEXDxQ1mbevv3KHTBiLiiEbl\nkl4LLAB+kv8Y5wI/knQYaYton5rZ5wKPTHNVW2a0dR4maRlwLPC2msuQt/U6j0Onr98IkrYlBU5/\nRHw7Fz8qaa+I2JCbix8rr4Yt9ybgOEnHAC8BdiTt+ewkaZu8t9P237mb19pYRNwREbtHRE9E9JD+\nKR0SET8DVgEfyKPY3gj8fLhZot1JWky6TPlxEbGpZtIq4ERJ20taQBpEcUsZdZwmtwIL82im7UiD\nJlaVXKdpkfsyvgrcHRHn1ExaBSzLj5cBVxRdt+kSEWdGxNz8t3wicF1ELAWuB96dZ2v7dfaeTue6\nEjiG1Jm+CfhQudVpqb8Htgeuznt4N0XEqRGxRtLlwF2kZrfTImJzifVsqYh4QdLpwFXATODCiFhT\ncrWmy5uA9wN3SLotl/0JcDZwuaRTSKM131NS/Yr0KeBSSX8J/JgUxm3Lp8ExM7PCuHnNzMwK49Ax\nM7PCOHTMzKwwDh0zMyuMQ8fMzArj0DGrsHy25Qck7ZKf75yfzy+7bmaT4dAxq7CIeIh0hvCzc9HZ\nQF9ErCuvVmaT5+N0zCounw5mNXAh8GHg9fks02Ztx2ckMKu4iPi1pD8GfgAc6cCxdubmNbP2cDSw\nAXhN2RUxmwqHjlnFSTqYdGXYNwJ/0CkX47Pu5NAxq7B8tuULSNeTeRD4PPA35dbKbPIcOmbV9mHg\nwYi4Oj8/H3iVpLeUWCezSfPoNTMzK4z3dMzMrDAOHTMzK4xDx8zMCuPQMTOzwjh0zMysMA4dMzMr\njEPHzMwK8/8BGmzaKFXp6A8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x102c59350>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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vz/SNFEptpFxplGHxKZX/ls3AtKz3U4EtneSVMuDubD2wtd2tUJ7d+SzHPNyu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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a07aaac90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ZrWxvb6/mekgfpGHvN+ujRcT1HWQ9eEupugQdM/u5mT1V5nYpcBtwBnAWsBX4\nev5pZV7K+1BeWui+zN3nufu8lpaWXq+PVFda9n6reY4oaeL6DrIevKVUXYKOu1/g7meWud3r7tvc\n/Zi7Hwe+Q9R9BtGRypSCl5kMbOmifAcw2swGFpVLwmVx7zdtacFxfgdZDt5SKnHda2Z2asHDdwNP\nhfv3AVeY2RAzOw2YCTwGPA7MDJlqg4mSDe7zKBf8F8B7w/MXAffGsQ7SP1nb+01DYkSxrH0HkhyJ\nu07HzL5P1LXmwAbgz919a1i2BPgwcBT4lLs/GMovAb4FDADucPelofx0osSCscDvgA+6+6Gu3l/X\n6Ui16ZoeyavmtWJJ09PrdBIXdOpNQUeqrakpOsIpZhZ1KUljyPqFsKm9OFQka9KSGFENaTt3Fac0\nXAoQBwUdkRrLYmJEOWk8dxWnNFwKEAcFHZEaa5ST8tqT71ojHfF2RUFHJAaNkBasPfmuNcoRb3cU\ndESkKrQn37VGOeLtjoKOiFSF9uS71whHvN1R0BGRqtCevPTEwO6riIj0TFubgox0TUc6IiISGwUd\nERGJjYKOiIjERkFHRERio6AjIiKxUdAREZHYKOiIiEhsFHRERCQ2CjoiIhIbBZ0U04RZIpI2GgYn\npYqnvs1PmAUahkREkktHOimlCbNEJI0UdFJKE2aJSBop6KSUJswSkTRS0EkpTZglImmkoJNSmjBL\nRNJI2WsppgmzRCRtdKQjIiKxUdDJKF04KiJJpO61DNKFoyKSVDrSySBdOCoiSaWgk0G6cFREkkpB\nJ4N04aiIJJWCTgbpwlERSSoFnQzShaMiklTKXssoXTgqIkmkIx0REYmNgo6IiMSmLkHHzC43s1Vm\ndtzM5hUtu8HM1pvZWjO7uKB8fihbb2afLyg/zcx+Y2brzOyHZjY4lA8Jj9eH5dPjWj8RESmvXkc6\nTwHvAX5VWGhmOeAKoBWYD3zbzAaY2QDgVmABkAM+EOoCfAX4prvPBHYD14bya4Hd7j4D+GaoJyIi\ndVSXoOPua9x9bZlFlwJ3u/shd38OWA+cE27r3f1Zdz8M3A1camYGvB24Jzz/TuCygte6M9y/B/iz\nUF9EROokadlrk4BHCx5vDmUAzxeVnwuMA/a4+9Ey9Sfln+PuR81sb6i/o/hNzWwxEEYnY7+ZlQuI\nSddMmXVrAFrvxtGI6wzpWe9pPalUs6BjZj8HTimzaIm731vpaWXKnPJHZN5F/a5eq7TQfRmwrEKb\nUsHMVrrK0saRAAAEjElEQVT7vO5rZovWu3E04jpD9ta7ZkHH3S/ow9M2A1MKHk8GtoT75cp3AKPN\nbGA42imsn3+tzWY2EDgZ2NWHNomISJUkLWX6PuCKkHl2GjATeAx4HJgZMtUGEyUb3OfuDvwCeG94\n/iLg3oLXWhTuvxd4JNQXEZE6qVfK9LvNbDPwBuB+M3sIwN1XAT8CVgM/BT7h7sfCUcz1wEPAGuBH\noS7A54C/MLP1ROdsbg/ltwPjQvlfAB1p1hmV6u7BftB6N45GXGfI2Hqbdv5FRCQuSeteExGRDFPQ\nERGR2CjoZISZfcbM3Myaw2Mzs1vCMEBPmtnZ9W5jtZjZ35rZ02G9fmJmowuWlR1GKSsqDQeVNWY2\nxcx+YWZrwpBZnwzlY81sRRj2aoWZjal3W6stjMLyOzP79/C47FBfaaWgkwFmNgW4ECickHoBUfbf\nTKILX2+rQ9NqZQVwpru/GngGuAEqD6NUt1ZWWTfDQWXNUeDT7j4XOA/4RFjXzwMPh2GvHiabCUKf\nJEqYyqs01FcqKehkwzeBz9L54tdLgbs88ijR9Uyn1qV1VebuPysYheJRouuzoPIwSllRdjioOrep\nJtx9q7v/Ntx/iWgjPInOw1sVDnuVCWY2GXgH8I/hcVdDfaWSgk7Kmdm7gBfc/Q9FizqGAQoKhwjK\nkg8DD4b7WV/nrK9fWWGE+NcCvwEmuPtWiAITML5+LauJbxHtQB4Pj7sa6iuVkjb2mpTR1ZBCwF8B\nF5V7Wpmy1OTH92QYJTNbQtQNszz/tDL1U7POPZD19SthZiOAHwOfcvd9WR6z18wWAtvd/QkzOz9f\nXKZqqr9zBZ0UqDSkkJm9CjgN+EP4Z5wM/NbMzqHrIYUSr7thlMxsEbAQ+LOCkSZSvc49kPX168TM\nBhEFnOXu/q+heJuZneruW0N38fb6tbDq3gS8y8wuAYYCo4iOfCoN9ZVK6l5LMXf/o7uPd/fp7j6d\naKN0tru/SDQM0NUhi+08YG++WyLtzGw+0UgU73L3gwWLKg2jlBVlh4Oqc5tqIpzLuB1Y4+7fKFhU\nOLxV4bBXqefuN7j75PC/fAXR0F1tVB7qK5V0pJNdDwCXEJ1MPwhcU9/mVNXfA0OAFeEI71F3/6i7\nrzKz/DBKRwnDKNWxnVUVpujIDwc1ALijYDiorHkTcBXwRzP7fSj7K+Bm4Edmdi1RtubldWpfnD4H\n3G1mXwJ+x4mhvlJJw+CIiEhs1L0mIiKxUdAREZHYKOiIiEhsFHRERCQ2CjoiIhIbBR2RBAujLT9n\nZmPD4zHh8bR6t02kLxR0RBLM3Z8nGiH85lB0M7DM3TfWr1UifafrdEQSLgwH8wRwB3Ad8NowyrRI\n6mhEApGEc/cjZvaXwE+BixRwJM3UvSaSDguArcCZ9W6ISH8o6IgknJmdRTQz7HnAf8/KZHzSmBR0\nRBIsjLZ8G9F8MpuAvwW+Vt9WifSdgo5Isl0HbHL3FeHxt4E5ZvbWOrZJpM+UvSYiIrHRkY6IiMRG\nQUdERGKjoCMiIrFR0BERkdgo6IiISGwUdEREJDYKOiIiEpv/D4SQVNYQVahfAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fe26e50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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CjwKtBh3Jr61vb2VezTyqV1Xz8OqHm0zXfMv5t7RruuZSKAUk9a7+UvjbSaTF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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fbfb790>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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wjTYt2jB+6HhihTGuGnkVXdp0iSy+6gchEHQdnjUrtxKPEmtuqO8o00o61USZ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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f5f1b50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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kR5RpsauAD929Pt1lZn3MrE14/3SCjvvVYbprj5ldGPbT3Ag8E242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\nuIiISNIpuIiISNIpuIiISNL9f8MUqKB5cG2cAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fc28c50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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wsYYY2jMMJv5Qq07QqT3pOnW/O4F7i1nu6vUMW7kS1q8vNGstqVN60vX3D34w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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f966a10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Ggyi4SM7JlSs3aVk+DMqISi4MBlFwkZyTK1du0jytrZb/NFpMRDJOKxTkLo0WE5GspUEZ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\nYXEencWsAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f9d0e90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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F6QXLxg8dH3Nui0vTHh2p0t4TdSTIoo4E0l37m/fzeOPj6TaZP677I/ub9wPw\nhuPekO5ZNrd6LmOHjI05tyKFoY4EIgWy99BeHlv3WDrIPN74OAdaDmAYbzz+jVw749r0gmWjB4+O\nO7siiaKgI9KJ3Qd388d1fzy8YNn6ZRxqPUQf68P0cdO5buZ1pKpTnD/5fEYMGhF3dkUSTUFHJMvO\nAzvbLVhWv6GeFm+hyqqoHV/LJ8/5JKmaFLMnzebYgcf2ymtW0oh0qWwKOlLxtu/bzsNrH04Hmac2\nPUWrt9KvTz9mTpjJDbNvIFWT4rxJ5zGk/5Bef/1KG5EulU0dCbKoI0H527p3a7sFy57e9DSOM6Bq\nALMmzko3/J876VwG9xtc8PyUy4j0pFCpMR7qSCASbNmzpd28Zc9teQ6AQX0Hce6kc7n5gptJVaeY\nNXEWA/sOLHr+ynVEehxf/io1Jp9KOllU0il9G3dtpK6hLt3w/+JrLwLRqpizJ81Oz1129oSze7Rg\nWW8rx5JO9pc/RAMeFy8u7Jd/Ob6XpaKrJR0FnSwKOqVn3evr2i1Y9vK2lwEY2n8o508+Pz2lzIxx\nM+hX1S/m3B4pri/oQorry79Pn9xLZJtBa2vhXldUvSZlbM2ONe0WLHt1x6sAHDvgWOZWz43GydSk\nmHb8tF5bFbOQynFEelxVhpU2j1kpSv5/pFQ0d2f19tXt2mTWvh59c40cNJK51XP5+KyPk6pOcdbY\ns4q6KmZvKrcVNuP68q+0ecxKUaKCjpn9E/AO4CCwGviAu+8wsxrgBeClsOtSd/9wOGYG8ENgENEK\node7u5vZSOCnQA2wBnivu28v1rVIz7g7L219qV2Q2bBrAwBjBo8hVZPi78/7e1LVKc447oxEL1jW\nHeXW4yquL/9yLDWWm0S16ZjZxcDv3b3ZzL4C4O43hKDzK3d/Q45jngCuB5YSBZ3vuPuvzeyrwDZ3\nv9XMbgRGuPsNneVBbTrF5e483/R8uwXLNu/ZDMDxQ45Pd1++oOYCTh19akmvJZNPObbpQPkFUulY\nyXckMLN3A5e5+4J8QcfMxgF/cPdTw/P3ARe4+7Vm9lJ4vDHs96C7n9LZ6yroFFart/Ls5mfbLVj2\n2t7XAJg4bGI6yKRqUkwdObUsg0w29biSclAOHQmuJqoeazPFzJ4CdgKfcfeHgQlAY8Y+jSENYKy7\nbwQIgee4IuRZsrS0tvD05qfTDf8PNzzM9v1RLWf1sdW8berb0kFmyvApFRFkspXrOB2RXIoedMzs\nd8DxOTYfEqDMAAAPWklEQVQtcvdfhn0WAc3AkrBtIzDZ3beGNpz/MbMzgFzfUN0uupnZQmAhwGR1\nczkqza3NPLnxyXYLlr1+4HUAThxxIu8+9d3pBcuqh1fHnNtkUI+riKrjKkPRg467X9jRdjO7Cng7\n8BYPdX/ufgA4EB4vN7PVwMlEJZuJGYdPBDaEx5vNbFxG9dqWDvK0GFgMUfVajy6sQh1sOUj9hvp0\nkHl03aPsPrgbgFNGncJfnvGX6SAzYdiETs5WmdTjSjMJVJJEVa+Z2TzgBiDl7nsz0scQdQpoMbMT\ngKnAK+6+zcx2mdk5wOPAlcA/h8PuAa4Cbg33vyzipZStA80HeGL9E+0WLNt7KPpTnT7mdK4464r0\ngmXjho6LObelQT2uomvPDLoQPV+0qLLeh0qQqI4EZrYKGABsDUlL3f3DZvYXwBeJqtxagM+7+/+G\nY2o53GX618DfhC7To4C7gcnAWuA97r6tszyoI0F7+w7tY2nj0nSQWdq4NL0q5lljz2q3KuaYY8bE\nnFspVZpJoPSVZEcCdz8pT/rPgZ/n2VYPHNGV2t23Am/p1QxWgD0H9/BY42PUranjwYYHeWL9Exxs\nOYhhTB4wjX4rPsL+51JMbJnDpz8/kgWXxJ1jKQdq16ociQo6Uny7Duzi0XWPpttklm1YRnNrM1VW\nxfRx0/n4zI+TqkmxYen5fPIjw9NVII2ozl16j9q1KkeiqteSoNyr117f/zqPrH0k3YX5yY1P0uIt\n9O3Tl7PHn53uvjx70myGDhiaPk5jSaTQ1HuttJX84NC4lFvQ2bZvGw83PJxuk1mxaQWt3kr/qv7M\nnDAz3SZz3qTzOKb/MXnPozp3EelISbbpyNFr2tPUblXMZzc/m14V89xJ5/LZuZ8lVZ3inInnMKjf\noC6fV3XuItIbFHRK3Obdm9Nzlj3Y8CDPNz0PRKtinjfpPL5wwRdI1aSYOWHmUa2KqTp3EekNCjol\nZv3O9e0WLHtpazTx9pD+Q5g9aTZ/feZfk6pJUTu+tldXxdRYEhHpDWrTyZK0Np21r6+NSjGh4X/1\n9tUADBswjDmT56Qb/qePm14SC5aJSHlSm04Jcnde3fFqu7Vk1uxYA8CIgSOYUz2Hj579UVLV0aqY\npbpgmYhULgWdGLk7q7atOrz0ckMdjTujSbNHDx7N3Oq5fPKcT5KqTnHm2DPLZsEykaRQN+3iU9Ap\nInfnxddebLdg2cbdGwE47pjj2q0lc/qY0xVkRApIk4zGQ206WXqzTafVW1m5ZWW7Bcu27Ikmux4/\ndHy7IHPKqFMqci0ZkbhowHPvUptODFq9lWc2P5Puvvxww8Ns3RfNXTpp2CQuPvHi9NLLJ444UUFG\nJEZaPC8eCjq95Et1X+IbS7/Bjv07AJgyfArvOOUd6dJMzfAaBRmRBNGA53go6PSSCcMmcNlpl6UX\nLJt07KS4syQiHdCA53ioTSdL0sbpiEjhqPda71GbjohIJxYsUJApNvXJFRGRolHQERGRoklc0DGz\nm81svZmtCLdLM7bdZGarzOwlM3trRvq8kLbKzG7MSJ9iZo+b2ctm9lMz670ZMEVEpNsSF3SCb7r7\ntHC7F8DMTgcuB84A5gH/amZVZlYFfBe4BDgdeF/YF+Ar4VxTge3ANcW+kFKzZEk0aK5Pn+h+yZK4\ncyQi5SSpQSeX+cBd7n7A3V8FVgEzw22Vu7/i7geBu4D5Fg2KeTPws3D8HcC7Ysh3yWibFqShIVol\ntG1aEAUeEektSQ0615nZM2Z2u5mNCGkTgHUZ+zSGtHzpo4Ad7t6clX4EM1toZvVmVt/U1NSb11FS\nFi1qP2YBoueLFsWTHxEpP7EEHTP7nZk9l+M2H7gNOBGYBmwEvt52WI5TeQ/Sj0x0X+zute5eO2bM\nmG5fT7nQtCAiUmixjNNx9wu7sp+ZfQ/4VXjaCGQO858IbAiPc6W/Bgw3s76htJO5v+SgaUFEpNAS\nV71mZuMynr4beC48vge43MwGmNkUYCrwBLAMmBp6qvUn6mxwj0dTLfwBuCwcfxXwy2JcQ6m65ZZo\nGpBMmhZERHpT4oIO8FUze9bMngH+DPgkgLuvBO4Gngd+A3zM3VtCKeY64D7gBeDusC/ADcCnzGwV\nURvPD4p7KaVlwQJYvDia2t0sul+8uOcjttUTTkSyae61LJp7rXdkL5AFUanpaIKYiCRXV+deS2JJ\nR8qAesKJSC4KOlIQ6gknIrko6EhB5Ovxpp5wIpVNQUcKQj3hRCQXBR0piN7uCSci5UGLuEnBaIEs\nEcmmko6IiBSNgk6BaYCkiMhhql4roOwBkm1LBYCqnUSkMqmkU0AaIClJplK4xEElnQLSAElJKpXC\nJS4q6RSQBkhKUqkULnFR0CkgDZCUpFIpXOKioFNAGiApSaVSuMRFQafAFiyANWugtTW6V8CRJFAp\nXOKioCNSgVQKl7go6FQAdY2VXFQKlzioy3SZU9dYEUmSRJV0zOynZrYi3NaY2YqQXmNm+zK2/VvG\nMTPM7FkzW2Vm3zEzC+kjzex+M3s53I+I67ripK6xIpIkiQo67v6X7j7N3acBPwd+kbF5dds2d/9w\nRvptwEJgarjNC+k3Ag+4+1TggfC84qhrrIgkSaKCTptQWnkv8JNO9hsHDHP3x9zdgTuBd4XN84E7\nwuM7MtIrirrGikiSJDLoAHOAze7+ckbaFDN7yszqzGxOSJsANGbs0xjSAMa6+0aAcH9cvhczs4Vm\nVm9m9U1NTb13FQmgrrEikiRFDzpm9jszey7HbX7Gbu+jfSlnIzDZ3d8EfAr4sZkNAyzHS3h38+Tu\ni9291t1rx4wZ093DE01dY0UkSYree83dL+xou5n1Bf4cmJFxzAHgQHi83MxWAycTlWwmZhw+EdgQ\nHm82s3HuvjFUw23pvasoLVrBU0SSIonVaxcCL7p7utrMzMaYWVV4fAJRh4FXQrXZLjM7J7QDXQn8\nMhx2D3BVeHxVRrqIiMQkieN0LufIDgRzgS+aWTPQAnzY3beFbR8BfggMAn4dbgC3Aneb2TXAWuA9\nBc63iIh0wqJOX9KmtrbW6+vr486GiEhJMbPl7l7b2X5JrF4TEZEypaAjIiJFo6AjIiVNE9qWliR2\nJBAR6RJNaFt6VNIRkZKlCW1Lj4KOiJQsTWhbehR0RKRkaULb0qOgIyIlSxPalh4FHZEyUYm9uDSh\nbelR7zWRMlDJvbg0oW1pUUlHpAyoF5eUCgUdkTKgXlxSKhR0RMqAenFJqVDQESkD6sUlpUJBR6QM\nqBeXlAr1XhMpE+rFJaVAJR0RESkaBR0RESmaWIKOmb3HzFaaWauZ1WZtu8nMVpnZS2b21oz0eSFt\nlZndmJE+xcweN7OXzeynZtY/pA8Iz1eF7TXFuj4REcktrpLOc8CfAw9lJprZ6cDlwBnAPOBfzazK\nzKqA7wKXAKcD7wv7AnwF+Ka7TwW2A9eE9GuA7e5+EvDNsJ+IiMQolqDj7i+4+0s5Ns0H7nL3A+7+\nKrAKmBluq9z9FXc/CNwFzDczA94M/Cwcfwfwroxz3REe/wx4S9hfRERikrTeaxOApRnPG0MawLqs\n9FnAKGCHuzfn2H9C2zHu3mx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"text/plain": [
"<matplotlib.figure.Figure at 0x1a106800d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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G+QcALyatM3mZ/ZjZFGAKwOBCq+AUKVKZbiBv6nHCudYwv7d2L0+99xSJqgSPvvMom3dv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\nelhYRDQwTUREwSXtNDBNRES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"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fc6b090>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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mrZrFiaIT9G7Zm8cvf5zRvUfTtkHbyBzYmDApq+QyHrhBVZdEKzPV0A7YFPQ6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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10227150>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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f9nx68asLRlyQHlOSKk8xedRkTTPfzXI92WlX/5fO9H+wGKvVSi64ZKsQgksx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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f7ec590>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ridge_tr_models = [] # will contain Ridge models fit on the respective training sets\n",
"\n",
"boundary_x_range = np.arange(x_range[0],x_range[-1], (x_range[-1] - x_range[0])/float(200))\n",
"ridge_boundary_y = np.zeros((num_samps, len(boundary_x_range)))\n",
"\n",
"\n",
"for i in range(num_sets):\n",
" clf = Ridge(alpha=1.0)\n",
" x = X_tr[i].reshape(-1,1)\n",
" y = Y_tr[i].reshape(-1,1)\n",
" ridge_tr_models.append(clf.fit(x, y))\n",
" y_predict = clf.predict(boundary_x_range.reshape(-1,1))\n",
" ridge_boundary_y[i] = y_predict.reshape(1,-1)\n",
" \n",
"\n",
"# Drawing the boundaries\n",
"\n",
"for i in range(num_sets):\n",
" plt.plot(X_tr[i], Y_tr[i], 'ob')\n",
" plot_graph(boundary_x_range, ridge_boundary_y[i], cl='green')\n",
" show_plot(\"X\", \"Y\",'Ridge regression fit for training set ' + str(i+1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualizing each Ridge model against the test set and calculating average bias and variance"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zycBwQMlFaow5n8z5fEzK2pK1dGzekR999UeMzh9Nn8P7xB2eSFblSnLpDCxP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\niGTd/weThT0/a1B85QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10211450>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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jctVGAmvS83LlzwBDJA1Key/5+v3e5i2befDJBzuGpM/nTU4bdZqvN7F+Zdo0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\nYmZmFff/AUM7O+hilOKkAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0ff57510>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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X9cD6iHgoTd9NFjbPpcNdpN8bc/Un5ZafCGzootzMzApSWLhExLPAOkknpKJzgGXAYqD1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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f46a550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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JysmJ9liOZAbV1fUfj2SHmb3s7oVHq6cr9EWkTvTvf3zl0rQouYhI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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f4f5950>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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QCswCDh/xNQGYGW7PAj4Rjho7H9gRNpvNAYaZWbuwI39YaBMRkZgUxDz/LwFTzKwxsAz4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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x102c945d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1a0fab6350>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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ISbeQnbNZCMwBbixfT/pfR1KsjiOT5W3LeXnbywAcc/AxnUmxZtTO4JD9ih0o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\n5OragOcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10d7a3d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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YErMuzMnFSi4i2LRvU7NO91VbV3Ho2CEAzhl8DtXl1bz/ivc3jSkZ1n9YzlGb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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10da8090>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
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3jhw7wl8r/pq88GPp5lIcp3eX3kwpmMKca+ZQXFCsVFcbtmABzJ4N1dXR8qZN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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a102c7610>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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21+sNB379rdeB0PE+fuh4Pj3h06HjvXAyBb0KEo5YRLJFyUWyZv/h/SzeuDjV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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f98aed0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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E7pR3G3ATcAT4SEQ8lNJnA3eTrTT5zYi4M6VPBJYAw4BHgOsj4uCJ6lBdXR21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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0ff80390>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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C1iQXkfps/bb1jP9gPEFZwNvlb5NjOQw6ZhC/vvDXXH7s5TTPax53iCIZpeQi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\n/wcbXRzDiaMJ3gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a0f4205d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1a10167ed0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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uSwDMrAgYDSi5SI2qqKzgbyv+RnJ+NCfKxrKNtG7amtH9R5PIT3DJKZfQLKdZ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\nXAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a101543d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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B+qGJEU0R0RARDZMnT+5ufc3MrIvKDC7rgfUR8XCav5ss2LyYDneRnl/KlZ+WW34qsKGD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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1053b1150>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cDRQVFCllWCSDFFyk1apNGa6dtr42ZfjsQWfz0wk/ZVr+NIb1GhZ3M0XaJAUX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\nB2k9ym3LCKbMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a10d7a690>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEWCAYAAACqitpwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/Ba4GugdTpMBFAFbwuNKYDBAmH8WsCuzPMs
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