{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Variability of classifier performance and cross-validation\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.linear_model import SGDClassifier, Perceptron\n", "from sklearn.datasets import make_classification\n", "from sklearn.model_selection import (\n", " ShuffleSplit, LeaveOneOut, GridSearchCV,\n", " cross_val_predict,KFold,\n", " LeaveOneGroupOut, cross_val_score)\n", "from sklearn.metrics import balanced_accuracy_score\n", "from sklearn.pipeline import make_pipeline\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.svm import SVC, LinearSVC\n", "from sklearn.pipeline import Pipeline\n", "import pandas as pd\n", "import seaborn as sns\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Table 1 fallacy in Machine Learning\n", "\n", "It's very common to see tables in machine learning papers where the authors' model performance is in bold, showing that it outperforms the other models. The simulation below shows just how unstable those results can be when different random seeds are used, even when the data stays the same." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 9.444444444444438, 'difference (Perceptron - SGD)')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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nnvBZcQAAXOhqFNQnT56UJLVp00ZbtmxR8+bN/VIUAAA4pUZBXS4zM9PXdQAAgEp4FdSStG7dOq1bt065ubnuI+1yf/vb3867MAAA4GVQz5w5U7NmzVKPHj3UqlUrORwOX9cFAADkZVA/++yzWr58uW699VZf1wMAAE7j1X3UJSUl6tOnj69rAQAAZ/AqqH/7299q5cqVvq4FAACcwatT38ePH9fSpUu1du1adenSRQEBAR7LFyxY4JPiAAC40HkV1F988YWuvvpqSdLu3bs9lnFhGQAAvuNVUK9fv97XdQAAgEowzSUAABbz6oj6+uuvP+sp7g8//NDrggAAwH95FdTl30+XKy0t1c6dO7V79+4Kk3UAAADveRXUTz75ZKXtycnJKigoOK+CAADAf/n0O+pbbrmF53wDAOBDPg3qTZs2KTg42JcfCQDABc2rU98jR470eG+MUXZ2trZu3apHH33UJ4UBAAAvgzoyMtLj/UUXXaR27dpp1qxZSkxM9ElhAADAy6BetmyZr+sAUI/t3bvXL30BeBnU5bZt26aMjAw5HA517NhRXbt29VVdAOqBojyX5HBozJgxNV63pKTUDxUBDY9XQZ2bm6vRo0drw4YNuvjii2WMUV5enq6//nqtWrVKLVq08HWdACxUWlQgGaOrxyapZfwV1Vone/dm7XrzOZWVlfm5OqBh8CqoJ06cqPz8fO3Zs0cdOnSQJKWnp2vcuHG677779OKLL/q0SAB2a9KytZrGtqtW3/ycQ36uBmhYvArq999/X2vXrnWHtCR17NhRTz/9NBeTAQDgQ17dR33y5MkKc1BLUkBAgE6ePHneRQEAgFO8Cur/+Z//0aRJk/Tdd9+527799lvdf//9GjBggM+KAwDgQudVUC9evFhHjx5VfHy82rZtq8svv1xt2rTR0aNHtWjRIl/XCADABcur76hbt26t7du3a82aNdq7d6+MMerYsaMGDhzo6/oAALig1eiI+sMPP1THjh2Vn58vSRo0aJAmTpyo++67T9dcc42uvPJKffzxx34pFACAC1GNgnrhwoW68847FRERUWFZZGSkJkyYoAULFvisOAAALnQ1CurPP/9cQ4YMqXJ5YmKitm3bdt5FAQCAU2oU1N9//32lt2WVa9y4sf7zn/+cd1EAAOCUGgX1JZdcol27dlW5/IsvvlCrVq3Ou6jTffvtt7rlllsUFRWl0NBQXX311R5H7cYYJScnKyYmRiEhIerfv7/27Nnj0xoAAKgrNQrqX/ziF/rjH/+o48ePV1hWVFSkGTNmaNiwYT4r7siRI+rbt68CAgL03nvvKT09XU888YQuvvhid5/58+drwYIFWrx4sbZs2SKn06lBgwbp6NGjPqsDAIC6UqPbsx555BG99tpruuKKK3TvvfeqXbt2cjgcysjI0NNPP60TJ05o+vTpPitu3rx5at26tce0mvHx8e4/G2O0cOFCTZ8+XSNHjpQkrVixQtHR0Vq5cqUmTJjgs1oAAKgLNQrq6OhopaWl6fe//72SkpJkjJEkORwODR48WM8884yio6N9Vtxbb72lwYMH63//93+1ceNGXXLJJbr77rt15513SpIyMzOVk5Pj8XzxoKAg9evXT2lpaVUGdXFxsYqLi93vy283A9AweTMHdlRUlGJjY/1QDVAzNX7gSVxcnN59910dOXJE+/fvlzFGCQkJatq0qc+LO3jwoJYsWaIpU6boD3/4gz777DPdd999CgoK0m233aacnBxJqvDLQXR0tA4dqnqGnjlz5mjmzJk+rxeAXc5nvuyQ0DDtzUgnrFHnvHoymSQ1bdpU11xzjS9rqeDkyZPq0aOHUlJSJEldu3bVnj17tGTJEt12223ufg6Hw2M9Y0yFttMlJSVpypQp7vf5+flq3bq1j6sHUNe8mS9bOjUV5+bUZLlcLoIadc7roK4NrVq1UseOHT3aOnTooFdffVWS5HQ6JUk5OTkeV5vn5uae9RR8UFCQgoKC/FAxABvVZL5swDZeTcpRW/r27at9+/Z5tH355ZeKi4uTJLVp00ZOp1Nr1qxxLy8pKdHGjRvVp0+fWq0VAAB/sPqI+v7771efPn2UkpKiUaNG6bPPPtPSpUu1dOlSSadOeU+ePFkpKSlKSEhQQkKCUlJSFBoa6tV3UgAA2MbqoL7mmmv0+uuvKykpSbNmzVKbNm20cOFCjR071t1n2rRpKioq0t13360jR46oZ8+eWr16tcLDw+uwcgAAfMPqoJakYcOGnfUhKg6HQ8nJyUpOTq69ogAAqCVWf0cNAMCFjqAGAMBiBDUAABYjqAEAsBhBDQCAxQhqAAAsRlADAGAxghoAAIsR1AAAWIygBgDAYgQ1AAAWI6gBALAYQQ0AgMUIagAALEZQAwBgMYIaAACLEdQAAFiMoAYAwGIENQAAFiOoAQCwGEENAIDFGtd1AUBdysrKksvlqvF6UVFRio2N9UNFAOCJoMYFKysrS+07dFRR4bEarxsSGqa9GemENQC/I6hxwXK5XCoqPKZe45MV4Yyr9nr5OYe0OTVZLpeLoAbgdwQ1LngRzjg1jW1X12UAQKW4mAwAAIsR1AAAWIygBgDAYgQ1AAAWI6gBALAYQQ0AgMUIagAALEZQAwBgMYIaAACLEdQAAFiMoAYAwGIENQAAFiOoAQCwGEENAIDFCGoAACxGUAMAYDGCGgAAixHUAABYjKAGAMBiBDUAABYjqAEAsBhBDQCAxQhqAAAsRlADAGAxghoAAIsR1AAAWIygBgDAYgQ1AAAWq1dBPWfOHDkcDk2ePNndZoxRcnKyYmJiFBISov79+2vPnj11VyQAAD5Ub4J6y5YtWrp0qbp06eLRPn/+fC1YsECLFy/Wli1b5HQ6NWjQIB09erSOKgUAwHfqRVAXFBRo7Nixev7559W0aVN3uzFGCxcu1PTp0zVy5Eh16tRJK1asUGFhoVauXFmHFQMA4Bv1Iqjvuece3XDDDRo4cKBHe2ZmpnJycpSYmOhuCwoKUr9+/ZSWllbl5xUXFys/P9/jBQCAjRrXdQHnsmrVKm3fvl1btmypsCwnJ0eSFB0d7dEeHR2tQ4cOVfmZc+bM0cyZM31bKAAAfmD1EfXhw4c1adIkvfDCCwoODq6yn8Ph8HhvjKnQdrqkpCTl5eW5X4cPH/ZZzQAA+JLVR9Tbtm1Tbm6uunfv7m47ceKEPvroIy1evFj79u2TdOrIulWrVu4+ubm5FY6yTxcUFKSgoCD/FQ4AgI9YfUQ9YMAA7dq1Szt37nS/evToobFjx2rnzp267LLL5HQ6tWbNGvc6JSUl2rhxo/r06VOHlQMA4BtWH1GHh4erU6dOHm1hYWGKiopyt0+ePFkpKSlKSEhQQkKCUlJSFBoaqjFjxtRFyQAA+JTVQV0d06ZNU1FRke6++24dOXJEPXv21OrVqxUeHl7XpQEAcN7qXVBv2LDB473D4VBycrKSk5PrpB4AAPzJ6u+oAQC40BHUAABYjKAGAMBiBDUAABYjqAEAsBhBDQCAxQhqAAAsRlADAGAxghoAAIsR1AAAWIygBgDAYgQ1AAAWI6gBALAYQQ0AgMXq3TSXAGCrrKwsuVyuGq8XFRWl2NhYP1SEhoCgBgAfyMrKUvsOHVVUeKzG64aEhmlvRjphjUoR1ADgAy6XS0WFx9RrfLIinHHVXi8/55A2pybL5XIR1KgUQQ0APhThjFPT2HZ1XQYaEC4mAwDAYgQ1AAAWI6gBALAY31EDXtq7d69f+gLA6QhqoIaK8lySw6ExY8bUeN2SklI/VASgISOogRoqLSqQjNHVY5PUMv6Kaq2TvXuzdr35nMrKyvxcHYCGhqAGvNSkZetq34aTn3PIz9UAaKi4mAwAAIsR1AAAWIygBgDAYgQ1AAAWI6gBALAYV32jwajpXMA8hARAfUBQo0E4n7mAeQgJAJsR1GgQvJkLmIeQAKgPCGo0KDWZC5iHkACoD7iYDAAAixHUAABYjKAGAMBiBDUAABYjqAEAsBhBDQCAxQhqAAAsRlADAGAxghoAAIsR1AAAWIygBgDAYgQ1AAAWI6gBALAYQQ0AgMUIagAALEZQAwBgMYIaAACLEdQAAFiMoAYAwGKN67qAs5kzZ45ee+017d27VyEhIerTp4/mzZundu3aufsYYzRz5kwtXbpUR44cUc+ePfX000/ryiuvrMPKATQEe/fu9UtfoCasDuqNGzfqnnvu0TXXXKOysjJNnz5diYmJSk9PV1hYmCRp/vz5WrBggZYvX64rrrhCs2fP1qBBg7Rv3z6Fh4fX8QgA1EdFeS7J4dCYMWNqvG5JSakfKsKFzOqgfv/99z3eL1u2TC1bttS2bdt03XXXyRijhQsXavr06Ro5cqQkacWKFYqOjtbKlSs1YcKEuigbQD1XWlQgGaOrxyapZfwV1Vone/dm7XrzOZWVlfm5OlxorA7qM+Xl5UmSmjVrJknKzMxUTk6OEhMT3X2CgoLUr18/paWlVRnUxcXFKi4udr/Pz8/3Y9UA6qsmLVuraWy7c3eUlJ9zyM/V4EJVby4mM8ZoypQp+tnPfqZOnTpJknJyciRJ0dHRHn2jo6PdyyozZ84cRUZGul+tW7f2X+EAAJyHehPU9957r7744gu9+OKLFZY5HA6P98aYCm2nS0pKUl5envt1+PBhn9cLAIAv1ItT3xMnTtRbb72ljz76SJdeeqm73el0Sjp1ZN2qVSt3e25uboWj7NMFBQUpKCjIfwUDAOAjVh9RG2N077336rXXXtOHH36oNm3aeCxv06aNnE6n1qxZ424rKSnRxo0b1adPn9ouFwAAn7P6iPqee+7RypUr9eabbyo8PNz9vXNkZKRCQkLkcDg0efJkpaSkKCEhQQkJCUpJSVFoaKhXt1UAAGAbq4N6yZIlkqT+/ft7tC9btky33367JGnatGkqKirS3Xff7X7gyerVq7mHGgDQIFgd1MaYc/ZxOBxKTk5WcnKy/wsCAKCWWf0dNQAAFzqrj6gB4EJR02eFR0VFKTY21k/VwCYENQDUIW+fKx4SGqa9GemE9QWAoAaAOuTNc8Xzcw5pc2qyXC4XQX0BIKgBwAI1ea44LixcTAYAgMUIagAALEZQAwBgMb6jhnWysrLkcrlqtE5Nb20BgPqCoIZVsrKy1L5DRxUVHvNq/ZKSUh9XBAB1i6CGVVwul4oKj6nX+GRFOOOqvV727s3a9eZzKisr82N1AFD7CGpYKcIZV6NbVfJzDvmxGsBO3nzlwxPN6h+CGgDqGW+fZibxRLP6iKAGgHrGm6eZSTzRrL4iqAGgnuJpZhcG7qMGAMBiBDUAABYjqAEAsBhBDQCAxQhqAAAsRlADAGAxbs+CX9V0gg0m1wAATwQ1/OZ8Jthgcg0AOIWght94M8EGk2sAgCeCGn5Xkwk2mFwDADxxMRkAABYjqAEAsBhBDQCAxQhqAAAsRlADAGAxghoAAIsR1AAAWIygBgDAYgQ1AAAWI6gBALAYQQ0AgMUIagAALEZQAwBgMYIaAACLEdQAAFiM+agvQFlZWXK5XDVeLyoqSrGxsX6oCEBt2rt3b43683+/bhHUF5isrCy179BRRYXHarxuSGiY9mak8x8WqKeK8lySw6ExY8bUaD3+79ctgvoC43K5VFR4TL3GJyvCGVft9fJzDmlzarJcLhf/WYF6qrSoQDJGV49NUsv4K6q1Dv/36x5BfYGKcMapaWy7ui4DQB1o0rI1///rES4mAwDAYgQ1AAAW49Q3aqQmV4vW9MpSAA0Hd5f4DkGNavH2alFJKikp9UNFAGzF3SW+RVCjWry5WjR792btevM5lZWV+bk6ADbh7hLfIqhRIzW5WjQ/55CfqwFgM9vvLvHm9HxdnJonqAEAFxxvT8/Xxal5ghoAcMHx5vR8XZ2aJ6gBABcs20/PSw0oqJ955hk9/vjjys7O1pVXXqmFCxfq5z//eZ3UUl++9wCA6qrNWzOZNMRTgwjql156SZMnT9Yzzzyjvn376rnnntPQoUOVnl77l/jXp+89AOBcavPWTCYNqVyDCOoFCxZo/Pjx+u1vfytJWrhwoT744AMtWbJEc+bMqdVa6tP3HgBwLrV5ayaThlSu3gd1SUmJtm3bpocfftijPTExUWlpaZWuU1xcrOLiYvf7vLw8SVJ+fv5511NQUCBJKis5rrLiomqtU1ZyXJK0fft29/rV5XA4ZIypdv8vv/xSkvRj1r5q1ydJ+dmnbrXK+3a/AhvZtQ7bql/bsr0+tlX5OidKi6v9M+NEacl51VeTbXn789Obn4X532dJOvVz3hd5IUnh4eFyOBxn72TquW+//dZIMv/+97892h977DFzxRVXVLrOjBkzjCRevHjx4sWrTl95eXnnzLl6f0Rd7szfSIwxVf6WkpSUpClTprjfnzx5Uj/++KOioqLO/ZtNDeTn56t169Y6fPiwIiIifPa5NmnoY2zo45Ma/hgb+vikhj/Ghjy+8PDwc/ap90HdvHlzNWrUSDk5OR7tubm5io6OrnSdoKAgBQUFebRdfPHF/ipRERERDe4f15ka+hgb+vikhj/Ghj4+qeGPsaGPryr1fprLwMBAde/eXWvWrPFoX7Nmjfr06VNHVQEA4Bv1/ohakqZMmaJbb71VPXr0UO/evbV06VJlZWXprrvuquvSAAA4Lw0iqG+66Sa5XC7NmjVL2dnZ6tSpk959913FxcXVaV1BQUGaMWNGhdPsDUlDH2NDH5/U8MfY0McnNfwxNvTxnYvDmBrc2wMAAGpVvf+OGgCAhoygBgDAYgQ1AAAWI6gBALAYQV0DR44c0a233qrIyEhFRkbq1ltv1U8//XTWdYwxSk5OVkxMjEJCQtS/f3/t2bPHvfzrr7+Ww+Go9PXyyy+7+8XHx1dYfubzzW0doyT179+/Qv2jR48+723bML4ff/xREydOVLt27RQaGqrY2Fjdd9997mfIl/PXPnzmmWfUpk0bBQcHq3v37vr444/P2n/jxo3q3r27goODddlll+nZZ5+t0OfVV19Vx44dFRQUpI4dO+r1118/7+16y9fje/755/Xzn/9cTZs2VdOmTTVw4EB99tlnHn2Sk5Mr7Cun0+nzsZXz9RiXL19e6c+U48ePn9d2veXr8VX288ThcOiGG25w96ntfehX5/mo7QvKkCFDTKdOnUxaWppJS0sznTp1MsOGDTvrOnPnzjXh4eHm1VdfNbt27TI33XSTadWqlcnPzzfGGFNWVmays7M9XjNnzjRhYWHm6NGj7s+Ji4szs2bN8uh3+nKbx2iMMf369TN33nmnR/0//fTTeW/bhvHt2rXLjBw50rz11ltm//79Zt26dSYhIcH8+te/9vgcf+zDVatWmYCAAPP888+b9PR0M2nSJBMWFmYOHTpUaf+DBw+a0NBQM2nSJJOenm6ef/55ExAQYF555RV3n7S0NNOoUSOTkpJiMjIyTEpKimncuLHZvHmz19u1aXxjxowxTz/9tNmxY4fJyMgwv/nNb0xkZKT55ptv3H1mzJhhrrzySo99lZub69Ox+XOMy5YtMxERERV+tpzPdm0an8vl8hjX7t27TaNGjcyyZcvcfWpzH/obQV1N6enpRpLHD6tNmzYZSWbv3r2VrnPy5EnjdDrN3Llz3W3Hjx83kZGR5tlnn61yW1dffbW54447PNri4uLMk08+eX6DOAd/jrFfv35m0qRJPt12TdXmPvzXv/5lAgMDTWlpqbvNH/vw2muvNXfddZdHW/v27c3DDz9caf9p06aZ9u3be7RNmDDB9OrVy/1+1KhRZsiQIR59Bg8ebEaPHu31dr3lj/GdqayszISHh5sVK1a422bMmGGuuuoq7wuvAX+McdmyZSYyMtKn2/VWbezDJ5980oSHh5uCggJ3W23uQ3/j1Hc1bdq0SZGRkerZs6e7rVevXoqMjKxyOs3MzEzl5OQoMTHR3RYUFKR+/fpVuc62bdu0c+dOjR8/vsKyefPmKSoqSldffbUee+wxlZSUnOeoPPl7jP/85z/VvHlzXXnllZo6daqOHj16Xtu2bXyny8vLU0REhBo39nymkC/3YfkUr6fXJp19itdNmzZV6D948GBt3bpVpaWlZ+1T/pnebNcb/hrfmQoLC1VaWqpmzZp5tH/11VeKiYlRmzZtNHr0aB08ePA8RlM5f46xoKBAcXFxuvTSSzVs2DDt2LHjvLbrjdrah6mpqRo9erTCwsI82mtjH9aGBvFkstqQk5Ojli1bVmhv2bJlhQlBTl9HUoXJQaKjo3Xo0KFK10lNTVWHDh0qPKd80qRJ6tatm5o2barPPvtMSUlJyszM1F//+ldvhlNlvf4a49ixY9WmTRs5nU7t3r1bSUlJ+vzzz93PaPdm2zVVW/vQ5XLpT3/6kyZMmODR7ut9+MMPP+jEiROV1na28VTWv6ysTD/88INatWpVZZ/yz/Rmu97w1/jO9PDDD+uSSy7RwIED3W09e/bU3//+d11xxRX6/vvvNXv2bPXp00d79uxRVFSUD0Z3ir/G2L59ey1fvlydO3dWfn6+nnrqKfXt21eff/65EhISGtQ+/Oyzz7R7926lpqZ6tNfWPqwNF3xQJycna+bMmWfts2XLFkkVp9KUzj6dZrnqTsFZVFSklStX6tFHH62w7P7773f/uUuXLmratKluvPFG9xHa2dgwxjvvvNP9506dOikhIUE9evTQ9u3b1a1bt/Patg3jK5efn68bbrhBHTt21IwZMzyWnc8+9EVtZ+t/Znt1PrOm2/WWP8ZXbv78+XrxxRe1YcMGBQcHu9uHDh3q/nPnzp3Vu3dvtW3bVitWrPCYItdXfD3GXr16qVevXu7lffv2Vbdu3bRo0SL95S9/8Xq73vLnPkxNTVWnTp107bXXerTX9j70pws+qO+9994KVx+fKT4+Xl988YW+//77Csv+85//VDmdZvkVhjk5OR6/BVY1Becrr7yiwsJC3Xbbbeesu/w/4f79+8/5Q96mMZbr1q2bAgIC9NVXX6lbt25yOp013nY5W8Z39OhRDRkyRE2aNNHrr7+ugICAs9ZUk31YGW+meHU6nZX2b9y4sbuGqvqUf6Y32/WGv8ZX7s9//rNSUlK0du1adenS5ay1hIWFqXPnzvrqq6+8GEnV/D3GchdddJGuueYad/0NZR8WFhZq1apVmjVr1jlr8dc+rA0X/HfUzZs3V/v27c/6Cg4OVu/evZWXl+dxG8enn36qvLy8KqfTLD/Ve/oUnCUlJdq4cWOl66Smpmr48OFq0aLFOesu/76pslN5No+x3J49e1RaWuqu35tt2zS+/Px8JSYmKjAwUG+99ZbH0VlVarIPK+PNFK+9e/eu0H/16tXq0aOH+xeLqvqUf2ZtTS3rr/FJ0uOPP64//elPev/999WjR49z1lJcXKyMjAyv91VV/DnG0xljtHPnTnf9DWEfStK//vUvFRcX65ZbbjlnLf7ah7Wili9eq9eGDBliunTpYjZt2mQ2bdpkOnfuXOHWnnbt2pnXXnvN/X7u3LkmMjLSvPbaa2bXrl3m5ptvrnDrkjHGfPXVV8bhcJj33nuvwnbT0tLMggULzI4dO8zBgwfNSy+9ZGJiYszw4cPrxRj3799vZs6cabZs2WIyMzPNO++8Y9q3b2+6du1qysrKarRtG8eXn59vevbsaTp37mz279/vcTtI+fj8tQ/Lb31JTU016enpZvLkySYsLMx8/fXXxhhjHn74YXPrrbe6+5ff+nL//feb9PR0k5qaWuHWl3//+9+mUaNGZu7cuSYjI8PMnTu3ytuzqtqur/hjfPPmzTOBgYHmlVdeqfJWuQceeMBs2LDBHDx40GzevNkMGzbMhIeH+3x8/hpjcnKyef/9982BAwfMjh07zG9+8xvTuHFj8+mnn1Z7uzaPr9zPfvYzc9NNN1W63drch/5GUNeAy+UyY8eONeHh4SY8PNyMHTvWHDlyxKOPJI97+U6ePGlmzJhhnE6nCQoKMtddd53ZtWtXhc9OSkoyl156qTlx4kSFZdu2bTM9e/Y0kZGRJjg42LRr187MmDHDHDt2zNdD9MsYs7KyzHXXXWeaNWtmAgMDTdu2bc19991nXC5Xjbdt4/jWr19vJFX6yszMNMb4dx8+/fTTJi4uzgQGBppu3bqZjRs3upeNGzfO9OvXz6P/hg0bTNeuXU1gYKCJj483S5YsqfCZL7/8smnXrp0JCAgw7du3N6+++mqNtutLvh5fXFxcpftqxowZ7j7l98oHBASYmJgYM3LkSLNnzx6/jM8fY5w8ebKJjY01gYGBpkWLFiYxMdGkpaXVaLs2j88YY/bt22ckmdWrV1e6zdreh/7ENJcAAFjsgv+OGgAAmxHUAABYjKAGAMBiBDUAABYjqAEAsBhBDQCAxQhqAAAsRlADAGAxghr1Xv/+/TV58mT3+/j4eC1cuND9PicnR4MGDVJYWJguvvjiKtsaokcffVS/+93v6roM1IKpU6fqvvvuq+sy4AcENRqcLVu2eITTk08+qezsbO3cuVNffvlllW0Nzffff6+nnnpKf/jDH9xtt99+uxwOhxwOhwICAnTZZZdp6tSpOnbsWB1WWj1n/kJmq4MHD+rmm29WTEyMgoODdemll2rEiBEV/p2tX79ew4YNU4sWLRQcHKy2bdvqpptu0kcffeTus2HDBvf+uuiiixQZGamuXbtq2rRpys7O9vi8adOmadmyZcrMzKyVcaL2ENRocFq0aKHQ0FD3+wMHDqh79+5KSEhQy5Ytq2yrqdLSUp/U6y+pqanq3bu34uPjPdqHDBmi7OxsHTx4ULNnz9YzzzyjqVOnerUNY4zKysp8UK1v1HU9JSUlGjRokPLz8/Xaa69p3759eumll9SpUyfl5eW5+z3zzDMaMGCAoqKi9NJLLykjI0P/+Mc/1KdPH495y8vt27dP3333nbZs2aKHHnpIa9euVadOnbRr1y53n5YtWyoxMVHPPvtsrYwVtahuHzUO1ExBQYG59dZbTVhYmHE6nebPf/6z6devn5k0aZK7T1xcnHnyySfdf9ZpEy+MGzeu0jZjjPnpp5/MnXfeaVq0aGHCw8PN9ddfb3bu3On+3BkzZpirrrrKpKammjZt2hiHw2FOnjxZ7fX+/ve/m7i4OBMREWFuuukmjxnUTpw4YebOnWvatm1rAgMDTevWrc3s2bPdy7/55hszatQoc/HFF5tmzZqZ4cOHuyf8qErnzp3N4sWLPdrGjRtnRowY4dH229/+1jidTmPMqQlI5s2bZ9q0aWOCg4NNly5dzMsvv+zuWz4Byfvvv2+6d+9uAgICzIcffnje9ZfXlZyc7P57/N3vfmeKi4vdy1XJhCdV1XP8+HEzceJE06JFCxMUFGT69u1rPvvsswrjWLt2renevbsJCQkxvXv3Nnv37j3r3+m57Nixw0g66wxNhw4dMgEBAeb++++vdPnJkycr1HnmxDGFhYWmXbt2pm/fvh7ty5cvN61bt/Z+ALASR9SoVx588EGtX79er7/+ulavXq0NGzZo27ZtVfbfsmWLhgwZolGjRik7O1tPPfVUpW3GGN1www3KycnRu+++q23btqlbt24aMGCAfvzxR/fn7d+/X//617/06quvaufOnZJUrfUOHDigN954Q2+//bbefvttbdy4UXPnznUvT0pK0rx58/Too48qPT1dK1euVHR0tCSpsLBQ119/vZo0aaKPPvpIn3zyiZo0aaIhQ4aopKSk0nEfOXJEu3fvrtZcyyEhIe6zA4888oiWLVumJUuWaM+ePbr//vt1yy23aOPGjR7rTJs2TXPmzFFGRoa6dOnik/rXrVunjIwMrV+/Xi+++KJef/11zZw5U5L01FNPqXfv3rrzzjuVnZ2t7OxstW7dusp6pk2bpldffVUrVqzQ9u3bdfnll2vw4MEe+0SSpk+frieeeEJbt25V48aNdccdd5zz7+tsWrRooYsuukivvPKKTpw4UWmfV199VaWlpZo2bVqlyx0Oxzm3ExISorvuukv//ve/lZub626/9tprdfjwYR06dMi7AcBOdf2bAlBdR48eNYGBgWbVqlXuNpfLZUJCQqo8ojbGmBEjRriPmqtqW7dunYmIiDDHjx/36Ne2bVvz3HPPGWNOHRkHBASY3NzcGq8XGhrqcQT94IMPmp49expjTs1nHRQUZJ5//vlKx52ammratWvncaRVXFxsQkJCzAcffFDpOuVHdllZWR7tZx5Rf/rppyYqKsqMGjXKFBQUmODg4ArTIY4fP97cfPPNxpj/HuG98cYb7uW+qH/cuHGmWbNmHtN+LlmyxDRp0sQ99euZZ06qqqegoMAEBASYf/7zn+62kpISExMTY+bPn++x3tq1a9193nnnHSPJFBUVVTqO6lq8eLEJDQ11n12ZNWuWOXDggHv5XXfdZSIiIjzWeeWVV0xYWJj79cUXX3jUWdl0r++9956R5DHHdF5enpFkNmzYcF5jgF0a192vCEDNHDhwQCUlJerdu7e7rVmzZmrXrt15f/a2bdtUUFCgqKgoj/aioiIdOHDA/T4uLk4tWrSo8Xrx8fEKDw93v2/VqpX7SCgjI0PFxcUaMGBAlbXt37/fY31JOn78uMc2zty+JAUHB1dY9vbbb6tJkyYqKytTaWmpRowYoUWLFik9PV3Hjx/XoEGDPPqXlJSoa9euHm2nH6n7qv6rrrrK49qC3r17q6CgQIcPH1ZcXFyln11ZPQcOHFBpaan69u3rbgsICNC1116rjIwMj/W6dOni/nOrVq0kSbm5uYqNja2wjaFDh+rjjz+WdOrfwZ49eyqt5Z577tFtt92m9evX69NPP9XLL7+slJQUvfXWW+6/2zOPmgcPHqydO3fq22+/Vf/+/as8Gj+d+f8zFJ/+WSEhIZJOncVAw0FQo94wfpw6/eTJk2rVqpU2bNhQYdnpt2+FhYV5tV5AQIDHMofDoZMnT0r67w/Xs9XWvXt3/fOf/6yw7PRfGk7XvHlzSadOgZ/Z5/rrr9eSJUsUEBCgmJgYd23lVwu/8847uuSSSzzWCQoK8nh/+t+DP+o/XXVOBZ9eT2UBVt5+Ztvp+6V8Wfl+OdNf//pX9y9AZ+7PM4WHh2v48OEaPny4Zs+ercGDB2v27NkaNGiQEhISlJeXp5ycHDmdTklSkyZNdPnll6tx4+r/SC7/peP0iwXLT+1X5+8V9QffUaPeuPzyyxUQEKDNmze7244cOeKT26u6deumnJwcNW7cWJdffrnHqzz0fLne6RISEhQSEqJ169ZVuY2vvvpKLVu2rLCNyMjIStdp27atIiIilJ6eXmFZWFiYLr/8csXFxXkETseOHRUUFKSsrKwK2zn9+2B/1f/555+7g1CSNm/erCZNmujSSy+VJAUGBlbrSPPyyy9XYGCgPvnkE3dbaWmptm7dqg4dOpxz/apccskl7rrPdYR/OofDofbt27tvgbvxxhsVEBCgefPmeV1LUVGRli5dquuuu84jlHfv3q2AgABdeeWVXn827ENQo95o0qSJxo8frwcffFDr1q3T7t27dfvtt+uii87/n/HAgQPVu3dv/epXv9IHH3ygr7/+WmlpaXrkkUe0detWn693uuDgYD300EOaNm2a/v73v+vAgQPavHmzUlNTJUljx45V8+bNNWLECH388cfKzMzUxo0bNWnSJH3zzTeVfuZFF12kgQMHeoTVuYSHh2vq1Km6//77tWLFCh04cEA7duzQ008/rRUrVvi9/pKSEo0fP17p6el67733NGPGDN17773u/RsfH69PP/1UX3/9tX744Ycqj3zDwsL0+9//Xg8++KDef/99paen684771RhYaHGjx9f7b8Pb+zcuVMjRozQK6+8ovT0dO3fv1+pqan629/+phEjRkiSYmNj9cQTT+ipp57SuHHjtH79en399dfavn27/vKXv0iSGjVq5PG5ubm5ysnJ0VdffaVVq1apb9+++uGHH7RkyRKPfh9//LF+/vOfn/MsB+oXTn2jXnn88cdVUFCg4cOHKzw8XA888IDH/anecjgcevfddzV9+nTdcccd+s9//iOn06nrrrvOffWyL9c706OPPqrGjRvrj3/8o7777ju1atVKd911lyQpNDRUH330kR566CGNHDlSR48e1SWXXKIBAwYoIiKiys/83e9+p/Hjx2v+/PnV/mXmT3/6k1q2bKk5c+bo4MGDuvjii9WtWzePh6b4q/4BAwYoISFB1113nYqLizV69GglJye7l0+dOlXjxo1Tx44dVVRUdNYHe8ydO1cnT57UrbfeqqNHj6pHjx764IMP1LRp02r9PXjr0ksvVXx8vGbOnKmvv/5aDofD/f70+6MnTpyoDh06aMGCBbrxxhuVn5+vqKgo9e7dW++//746d+7s8bnt2rWTw+FQkyZNdNlllykxMVFTpkxxnzov9+KLL7qvlEfD4TD+/OIPQJ0xxqhXr16aPHmybr755rou56xuv/12/fTTT3rjjTfqupR665133tGDDz6oL774okbfdcN+nPoGGiiHw6GlS5da9eQw+M+xY8e0bNkyQroBYo8CDdhVV12lq666qq7LQC0YNWpUXZcAP+HUNwAAFuPUNwAAFiOoAQCwGEENAIDFCGoAACxGUAMAYDGCGgAAixHUAABYjKAGAMBi/w/uYGd0MpKVNgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# generate a dataset\n", "n_samples = 300 # 150 for CV, 150 for testing\n", "n_features = 1000\n", "n_classes = 2\n", "top_p_features = .2\n", "n_informative = 50\n", "seed = 1\n", "\n", "results = []\n", "nruns = 1000\n", "rng = np.random.RandomState(seed)\n", "\n", "X, y = make_classification(n_samples=n_samples, n_features=n_features,\n", " n_classes=n_classes, n_informative=n_informative,\n", " random_state=rng)\n", "\n", "# refit models with different random seeds\n", "for run in range(nruns):\n", " seed = run + 1\n", " rng = np.random.RandomState(seed)\n", " np.random.seed(seed)\n", "\n", " # make a structured dataset with multiple samples per subject\n", "\n", " pipeline = Pipeline([\n", " ('clf', None),\n", " ])\n", " # run CV using several different classifiers on the dataset\n", " # with a fixed random seed\n", " parameters = [\n", " {\n", " 'clf': [SGDClassifier(alpha=.01)],\n", " }, \n", " {\n", " 'clf': (Perceptron(),),\n", " },\n", "\n", " ]\n", " cv = KFold(n_splits=10, shuffle=True, random_state=rng)\n", " grid_search = GridSearchCV(pipeline, parameters, cv=cv,\n", " scoring='accuracy', n_jobs=-3)\n", " grid_search.fit(X, y)\n", " results.append(grid_search.cv_results_['mean_test_score'])\n", "\n", "results_df = pd.DataFrame(results, columns=['SGD', 'Perceptron'])\n", "results_df['diff'] = results_df['Perceptron'] - results_df['SGD']\n", "\n", "sns.displot(results_df['diff'])\n", "plt.xlabel('difference (Perceptron - SGD)')\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Perceptron vs SGD: same dataset, different random seeds')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=results_df, \n", " x = results_df.SGD,\n", " y = results_df.Perceptron,\n", " alpha=0.5)\n", "plt.title('Perceptron vs SGD: same dataset, different random seeds')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SGD 0.636667\n", "Perceptron 0.726667\n", "diff 0.090000\n", "Name: 787, dtype: float64\n" ] }, { "data": { "image/png": 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nCwDi559/FkJcvAlGRESI22+/3e4xy8rKxHXXXSfatm1bYb+ef/75K16rFS0Gy8vLxYULF8Qff/whAIjPPvvM9rspU6Y4/NGp6DHWr18vAIjt27cLIYQ4ceKEACCmT59+xWMPHjwofH19xZNPPmm3vaioSERHR4s+ffrYtg0ZMkRc6/8/77vvPhEUFGT3H6rS0lKRnJxc4QLIKj4+Xtx2220OjwtADBkyxG7bo48+KkJCQsQff/xht9163VkXd9YFUFJSkm0BapWcnCyuv/56h+dFz549RUxMjO0/NtZ77ODBg+32mzx5sgAgcnNzbduaNWvmMK6KABBhYWHi1KlTFe5XVlYmLly4IMaNGydq1apld73Hx8eLwMBAu7k4e/asiIiIEI8++qhtm6vnZ9euXU7H+/333wsA4oUXXrBts/692Lx5s23byZMnhY+PjwgKCrJb7Gzbtk0AEP/+978rHGvPnj1Fq1atKtynW7duol69erb/NFg98cQTIjAw0DafEydOFNWqVXN4geCTTz4RAMTKlSuFEH/d62bMmGG334QJExwWQCEhIWLo0KEV9k8V3wJTdMMNN8DPzw+hoaHo2bMnoqOjsWrVKkRFRWHFihWwWCx46KGHUFpaavuJjo7Gdddd5/Atlpo1a+Kmm26y27Zq1So0btwYXbt2vWIfVqxYgfDwcNx+++127bRq1QrR0dEO7TRr1gzXXXed3bYHHngAhYWF+Omnn1we+z333GP377Vr16J69ero3bu33XbrBxMvf9ujS5cudp+xiYqKQp06da761k/37t0RHR1te7kXAL744gscOXLE7q2etm3bYtWqVRgxYgTWrVuHs2fPujSugIAALF26FDt37sS0adNw//334/jx45gwYQJSUlLw22+/VXh8fn4+/Pz87H42b97sUtsAHF5qB4CXX34ZpaWl6Ny5c4XHWt+67NOnDz766KMrfiPx448/RlpaGkJCQuDr6ws/Pz/MmTMHu3btcti3S5cudh/oT0lJAXDxPFz61oh1u/X8bdy4EadOnUK/fv3srsvy8nLceuut+PHHHx1eDr/U119/fcVr9XLHjh3DY489hri4ONt44uPjAcDpmJw5cOAAHnjgAURHR8PHxwd+fn62+bY+RkREBJKSkjBlyhRMnToVW7dudfjW3hdffIHS0lI8/PDDduMODAxE586dlb69VpGvv/4aN998M6KiomzbfHx8cN9991VqO8DFe02XLl1Qt25du7FZPye0fv16u/3vuOMO+Pn52f69b98+7N692/b5yEsfo0ePHsjNzXV4ft1xxx12/27ZsiUAKL9FbHXTTTehZs2aDtvXrl2Lrl27IiwszHYdvPzyyzh58iSOHTtmt2+rVq1Qv359278DAwPRuHFju765en6sbw9e/kHutm3bIiUlxeH+GRMTg9TUVNu/IyIiUKdOHbRq1Qp169a1bb/8eXklbdu2xfbt2zF48GB88cUXDt92PXfuHL766ivcddddCA4Odjh3586dw3fffQfg4nXSvHlztGrVym6/bt262b3tbB3z5Z+XdfYcb9u2LebPn4/x48fju+++c/oWoiougBQtWLAAP/74I7Zu3YojR47g559/RlpaGgDg6NGjEEIgKirK4Q/id999Z/f5BAC2b19c6vjx46hXr16FfTh69Cjy8/Ph7+/v0E5eXp5DO9HR0Q6PYd128uRJl8YdHBxs+yaU1cmTJxEdHW33RxEA6tSpA19fX4fHrlWrlsPjBgQEXHWh4uvri759+2Lp0qW2rzPPnz8fMTEx6Natm22/f//733j++eexbNkydOnSBREREejVqxf27t3r0hhTUlIwdOhQvP/++zh48CCmTp2KkydP2j5/ZL3xXX5jCQ0NxY8//ogff/wRo0ePdqmtS1kf79KbmKs6deqEZcuW2f4A16tXD82bN7f73NOSJUvQp08fxMbG4v3338emTZvw448/YsCAATh37pzDY0ZERNj929/fv8Lt1sc4evQogIsfHr/8upw0aRKEEDh16tQVx2K9ni53+bby8nKkp6djyZIleO655/DVV1/hhx9+sN2MXVn4FhcXo2PHjvj+++8xfvx4rFu3Dj/++COWLFli9xgWiwVfffUVunXrhsmTJ6N169aoXbs2nnrqKdtnk6zj/tvf/uYw7sWLFzs8H6+Vq/NUGY4ePYrPP//cYVzNmjUDgKve06xzM3z4cIfHGDx4sNPHuPw+Yf0Qtav/obkSZ/fbH374Aenp6QCA2bNnY8OGDfjxxx8xatQop226cg9z9fxY74/O+lW3bl2H++flzz/g4nPwas/LKxk5ciRef/11fPfdd+jevTtq1aqFm2++2faft5MnT6K0tBRvvPGGw7nr0aMHgL/O3dGjR/Hzzz877BcaGgohhG2/kydPwtfX12Eenc3X4sWL0a9fP7zzzjto3749IiIi8PDDDyMvL6/CcbmC3wJTlJKSYvsW2OUiIyNhsVjwzTffOP3mw+XbLl84AEDt2rUdPgDnrJ1atWpd8YNul77KAsDpBWPd5uwJ7YyzvtaqVQvff/89hBB2vz927BhKS0sRGRnp0mO7on///pgyZQoWLVqE++67D8uXL8fQoUPh4+Nj26d69eoYO3Ysxo4di6NHj9peDbr99tvtPkDuCovFgmHDhmHcuHH49ddfAQCpqamoWbMmPv/8c7z66qu2fX18fGzXhHVfGcuXL4fFYkGnTp2kjwWAO++8E3feeSdKSkrw3XffYeLEiXjggQeQkJCA9u3b4/3330diYiIWL15sd54u/6D6tbKe7zfeeMPhG29Wl/6v+HK1atWq8Fq1+vXXX7F9+3bMnz8f/fr1s2139oHsK1m7di2OHDmCdevW2b3K5iwvKD4+HnPmzAEA7NmzBx999BHGjBmD8+fPY+bMmbZxf/LJJ7ZXodzJ1XmqDJGRkWjZsiUmTJjg9PeXL9ovv09Y52bkyJG4++67nT5GkyZNKqGnV+fsHrZo0SL4+flhxYoVCAwMtG1ftmyZcjuunh/rvTc3N9fhP71Hjhyp1PunM76+vnjmmWfwzDPPID8/H19++SVeeOEFdOvWDTk5OahZsyZ8fHzQt2/fK36xIzExEcDF8xwUFOT0A+HW3wMXx1xaWoqTJ0/a/e1xNl+RkZGYPn06pk+fjoMHD2L58uUYMWIEjh075tKHvCsc+zUdTU717NkTr732Gg4fPow+ffooPUb37t3x8ssvY+3atQ5vj13azqJFi1BWVoZ27dpd9TF37NiB7du327218MEHHyA0NBStW7cGoPa/rJtvvhkfffQRli1bhrvuusu2fcGCBbbfV5aUlBS0a9cO8+bNQ1lZGUpKStC/f/8r7h8VFYWMjAxs374d06dPr/Br+7m5uU7/F3bkyBEUFhbaXnb29/fHv/71L7zwwguYNGkSnn/++Wse17x587Bq1So88MADdi+tqwgICEDnzp0RHh6OL774Alu3bkX79u1hsVjg7+/v8M0eZ98CuxZpaWkIDw/Hzp078cQTT0gf36VLF0yePNnptXop6zgu/w+Fs/iBK13XMo9xqcaNG+PFF1/Ep59+anv7uFu3bvD19cX+/fsd3iauqD+qX8Hu0qULli9fjqNHj9oWlGVlZW6JUejZsydWrlyJpKQkp28fXU2TJk3QqFEjbN++3e4/DdfKlVeOXWENtb30P1Jnz57Fe++9p/yYrp4f6/39/ffft72VDQA//vgjdu3aZXsVSofw8HD07t0bhw8fxtChQ5GdnY2mTZuiS5cu2Lp1K1q2bGl7ZcmZnj174tVXX0WtWrVsiyJnrM/xhQsX4qmnnrJtv/w5frn69evjiSeewFdffYUNGzbID/AyXAC5QVpaGh555BH0798fmzdvRqdOnVC9enXk5ubi22+/RYsWLfD4449X+BhDhw7F4sWLceedd2LEiBFo27Ytzp49i/Xr16Nnz57o0qUL7r//fixcuBA9evTA008/jbZt28LPzw+HDh3C119/jTvvvNNuQVK3bl3ccccdGDNmDGJiYvD+++8jKysLkyZNsi0KkpKSEBQUhIULFyIlJQUhISGoW7duhW/LPPzww3jzzTfRr18/ZGdno0WLFvj222/x6quvokePHhV+jknFgAED8Oijj+LIkSPo0KGDw/8c27Vrh549e6Jly5aoWbMmdu3ahffeew/t27evMLPokUceQX5+Pu655x40b94cPj4+2L17N6ZNm4Zq1arZLXSef/557N69GyNGjMB///tf3HfffUhISEBJSQkOHDiAd955Bz4+Pg7tnT171u4tmgMHDmDZsmVYsWIFOnfujJkzZ9rtP27cOIwbNw5fffVVhZ8Devnll3Ho0CHcfPPNqFevHvLz8zFjxgy7z7P07NkTS5YsweDBg9G7d2/k5OTglVdeQUxMjMtvD7oiJCQEb7zxBvr164dTp06hd+/eqFOnDo4fP47t27fj+PHjeOutt654/NChQzF37lzcdtttGD9+PKKiorBw4UKHV++Sk5ORlJSEESNGQAiBiIgIfP7558jKynJ4zBYtWgAAZsyYgX79+sHPzw9NmjRBhw4dULNmTTz22GMYPXo0/Pz8sHDhQmzfvt3u+J9//hlPPPEE7r33XjRq1Aj+/v5Yu3Ytfv75Z1sUQkJCAsaNG4dRo0bhwIEDuPXWW1GzZk0cPXoUP/zwg+2VyUv7M2nSJHTv3h0+Pj62Py5jxozB2LFj8fXXXzukN1/qxRdfxPLly3HTTTfh5ZdfRnBwMN58880KP1+laty4ccjKykKHDh3w1FNPoUmTJjh37hyys7OxcuVKzJw586pv2b/99tvo3r07unXrhoyMDMTGxuLUqVPYtWsXfvrpJ3z88cfS/WrRogUWLVqExYsX29LbrXMr47bbbsPUqVPxwAMP4JFHHsHJkyfx+uuvX1N2kavnp0mTJnjkkUfwxhtvoFq1aujevTuys7Px0ksvIS4uDsOGDVPugytuv/12W65d7dq18ccff2D69OmIj49Ho0aNAFx83tx4443o2LEjHn/8cSQkJKCoqAj79u3D559/jrVr1wK4+Nz99NNP0alTJwwbNgwtW7ZEeXk5Dh48iDVr1uDZZ59Fu3btkJ6ejk6dOuG5557D6dOn0aZNG2zYsMFhwVlQUIAuXbrggQceQHJysu1jBqtXr77iK4lS3PLRai92pa/BOzN37lzRrl07Ub16dREUFCSSkpLEww8/bPcJ/oq+GfTnn3+Kp59+WtSvX1/4+fmJOnXqiNtuu03s3r3bts+FCxfE66+/Lq677joRGBgoQkJCRHJysnj00UfF3r17bftZv/HxySefiGbNmgl/f3+RkJAgpk6d6tDuhx9+KJKTk4Wfn5/dJ/L79esnqlev7rSvJ0+eFI899piIiYkRvr6+Ij4+XowcOdLhq71w8g0Ta//69et3xbm8VEFBgQgKChIAxOzZsx1+P2LECNGmTRtRs2ZNERAQIBo0aCCGDRtm+5r8lXzxxRdiwIABomnTpiIsLEz4+vqKmJgYcffdd9u+Dny55cuXi9tvv11ERUUJX19fERoaKlq1aiWeffZZu/MkxF/f4LD+VK9eXTRo0ED07t1bfPzxxw5f7xfC9a/Br1ixQnTv3l3ExsYKf39/UadOHdGjRw/xzTff2O332muviYSEBBEQECBSUlLE7NmzbW1cytl5sn7DxxqbYPX1118LAOLjjz+2275+/Xpx2223iYiICOHn5ydiY2PFbbfd5rCfMzt37hS33HKLCAwMFBEREWLgwIHis88+c5gL636hoaGiZs2a4t577xUHDx50+CaJEEKMHDlS1K1bV1SrVs3ucTZu3Cjat28vgoODRe3atcWgQYPETz/9ZPdtyKNHj4qMjAyRnJwsqlevLkJCQkTLli3FtGnTRGlpqV07y5YtE126dBE1atQQAQEBIj4+XvTu3dvu6/8lJSVi0KBBonbt2sJisdh9K+jZZ58VFotF7Nq166rztGHDBtvXnaOjo8W//vUvMWvWrEr/FpgQQhw/flw89dRTIjExUfj5+YmIiAiRmpoqRo0aZfu24JWuEavt27eLPn36iDp16gg/Pz8RHR0tbrrpJrtvVF7pHmu9zi49/9nZ2SI9PV2EhobaohsqcqWxCXHxft2kSRPbPWPixIlizpw5DnN5pXlzNseunp+ysjIxadIk0bhxY+Hn5yciIyPFQw89ZIsgubQNZ38vZM/lpf7v//5PdOjQQURGRgp/f39Rv359MXDgQJGdnW233++//y4GDBggYmNjhZ+fn6hdu7bo0KGDGD9+vN1+xcXF4sUXXxRNmjQR/v7+tq/PDxs2zO4bcfn5+WLAgAEiPDxcBAcHi1tuuUXs3r3b7rl77tw58dhjj4mWLVuKGjVqiKCgINGkSRMxevRo2zeXr4Xlf5NEXi4hIQHNmze/auAgEVWttm3bIj4+XukVESJyHd8CIyIyiMLCQmzfvt2WTkxE7sMFEBGRQdSoUaPSv5VHRM7xLTAiIiIyHQYhEhERkelwAURERESmwwUQERERmQ4/BO1EeXk5jhw5gtDQUKex6URERGQ8QggUFRWhbt26qFat4td4uABy4siRI4iLi6vqbhAREZGCnJycq6aTcwHkhLWIaE5OjkPlcyIiIjKmwsJCxMXFORQDd4YLICesb3vVqFGDCyAiIiIP48rHV/ghaCIiIjIdLoCIiIjIdLgAIiIiItPhAoiIiIhMhwsgIiIiMh0ugIiIiMh0uAAiIiIi0+ECiIiIiEyHCyAiIiIyHS6AiIiIyHRYCoOIqIoVnyvF4fyzOH2+FCH+vqgbHoSQQN6eidyJzzAioip06M8zyNp5FPlnLti2hQf74ZamUahXM7gKe0bk3fgWGBFRFSk+V+qw+AGA/DMXkLXzKIrPlVZRz4i8HxdARERV5HD+WYfFj1X+mQs4nH9Wc4+IzIMLICKiKnL6fMWv8Jy5yu+JSB0XQEREVaS6f8Ufwwy+yu+JSB0XQEREVSQ2PAjhwX5Ofxce7IfY8CDNPSIyDy6AiIiqSEigL25pGuWwCLJ+C4xfhSdyHz67iIiqUL2awbg3NQ6H88/izPlSBPv7IpY5QERux2cYEVEVCwn0RZPo0KruBpGp8C0wIiIiMh0ugIiIiMh0uAAiIiIi0+ECiIiIiEyHCyAiIiIyHS6AiIiIyHS4ACIiIiLT4QKIiIiITIcLICIiIjIdLoCIiIjIdLgAIiIiItOp8gVQZmYmEhMTERgYiNTUVHzzzTdX3DcjIwMWi8Xhp1mzZk73X7RoESwWC3r16uWm3hMREZEnqtIF0OLFizF06FCMGjUKW7duRceOHdG9e3ccPHjQ6f4zZsxAbm6u7ScnJwcRERG49957Hfb9448/MHz4cHTs2NHdwyAiIiIPU6ULoKlTp2LgwIEYNGgQUlJSMH36dMTFxeGtt95yun9YWBiio6NtP5s3b8aff/6J/v372+1XVlaGBx98EGPHjkWDBg10DIWIiIg8SJUtgM6fP48tW7YgPT3dbnt6ejo2btzo0mPMmTMHXbt2RXx8vN32cePGoXbt2hg4cKBLj1NSUoLCwkK7HyIiIvJevlXV8IkTJ1BWVoaoqCi77VFRUcjLy7vq8bm5uVi1ahU++OADu+0bNmzAnDlzsG3bNpf7MnHiRIwdO9bl/YmIiMizVfmHoC0Wi92/hRAO25yZP38+wsPD7T7gXFRUhIceegizZ89GZGSky30YOXIkCgoKbD85OTkuH0tERESep8peAYqMjISPj4/Dqz3Hjh1zeFXockIIzJ07F3379oW/v79t+/79+5GdnY3bb7/dtq28vBwA4Ovri99++w1JSUkOjxcQEICAgIBrGQ4RERF5kCp7Bcjf3x+pqanIysqy256VlYUOHTpUeOz69euxb98+h8/4JCcn45dffsG2bdtsP3fccQe6dOmCbdu2IS4urtLHQURERJ6nyl4BAoBnnnkGffv2RZs2bdC+fXvMmjULBw8exGOPPQbg4ltThw8fxoIFC+yOmzNnDtq1a4fmzZvbbQ8MDHTYFh4eDgAO24mIiMi8qnQBdN999+HkyZMYN24ccnNz0bx5c6xcudL2ra7c3FyHTKCCggJ8+umnmDFjRlV0mYiIiLyARQghqroTRlNYWIiwsDAUFBSgRo0aVd0dIo9UfK4Uh/PP4vT5UoT4+6JueBBCAiv3/1w62iAizyHz95t3CiKqdIf+PIOsnUeRf+aCbVt4sB9uaRqFejWDPaYNIvJeVf41eCLyLsXnSh0WJgCQf+YCsnYeRfG5Uo9og4i8GxdARFSpDuefdViYWOWfuYDD+Wc9og0i8m5cABFRpTp9vuJXX85c5fdGaYOIvBsXQERUqar7V/zRwuCr/N4obRCRd+MCiIgqVWx4EMKD/Zz+LjzYD7HhQR7RBhF5Ny6AiKhShQT64pamUQ4LFOs3tCrja+o62iAi78YcICeYA0R07awZPWfOlyLY3xexbswBcmcbROQ5mANERFUuJNAXTaJDPb4NIvJOfAuMiIiITIevABERVSJvKc/hLeMwM57DinEmiIgqibeU5/CWcZgZz+HV8S0wIqJK4C3lObxlHGbGc+gaLoCIiCqBt5Tn8JZxmBnPoWu4ACIiqgTeUp7DW8ZhZjyHruECiIioEnhLeQ5vGYeZ8Ry6hgsgIqJK4C3lObxlHGbGc+gaLoCIiCqBt5Tn8JZxmBnPoWtYCsMJlsIgIlXeUp7DW8ZhZmY8hyyFQURURbylPIe3jMPMeA4rxgUQEZGHUUn41ZEKzDaMxVvG4S6cCSIiD6KS8KsjFZhtGIu3jMOd+CFoIiIPoZLwqyMVmG0Yi7eMw924ACIi8hAqCb86UoHZhrF4yzjcjQsgIiIPoZLwqyMVmG0Yi7eMw924ACIi8hAqCb86UoHZhrF4yzjcjQsgIiIPoZLwqyMVmG0Yi7eMw924ACIi8hAqCb86UoHZhrF4yzjcjUnQTjAJmoiMTCXhV0cqMNswFm8ZhwyZv99cADnBBRAREZHnYSkMcq+yMuCbb4DcXCAmBujYEfDxqepeERERuYwLIJKzZAnKn3oa1Q4fsm0qj62Hav+eAdx9dxV2jMg9jFhOwIh9UumXUcdB5sArjVy3ZAlE796wXPauqeXw4YvbP/mEiyDyKkYsJ2DEPqn0y6jjIPPgt8DINWVlKH/qaUAIWC77lQUCEED5009ffHuMyAsYsZyAEfuk0i+jjoPMhQsgcs0336Da4UMOix8rCwSqHTp08bNBRF7AiOUEjNgnQL5fRh0HmQsXQOSa3NzK3Y/I4IxYTsCIfQLk+2XUcZC5cAFEromJqdz9iAzOiOUEjNgnQL5fRh0HmQsXQOSajh1RHlsPjp8AukjAgvJ69S5+JZ7ICxixnIAR+wTI98uo4yBz4QKIXOPjc/Gr7hY4LIIELIAFqDZjBvOAyGsYsZyAEfuk0i+jjoPMhUnQTjAJugLOcoDq1bu4+OFX4MkLGbGcgBH7pNIvo46DPBdLYVwjLoCugknQRERkQCyFQe7l4wP8/e9V3QuPYNSkW9l+HS8qwb5jRSg4ewHhQX5IqhOK2qEBVdonci+V86HjHPI6ocrCq4bITYyadCvbrx1HCjB/QzYOnjpj21Y/IhgZaQloVjesSvpE7qVyPnScQ14nVJn4IWgiNzBq0q1sv44XlTgsfgDg4KkzmL8hG8eLSrT3idxL5XzoOIe8TqiycQFE5AZGTbqV7de+Y0UOix+rg6fOYN+xIu19IvdSOR86ziGvE6psXAARuYFRk25l+1Vw1vkfHKvCs9c+DqPOlVmpnA8d55DXCVU2LoCI3MCoSbey/QoLch5WZ1Uj6NrHYdS5MiuV86HjHPI6ocrGBRCRGxg16Va2Xw3rhKJ+hPMPl9aPCEbDOqHa+0TupXI+dJxDXidU2bgAInIDoybdyvardmgAMtISHBZB1m+BVcZX4Y06V2alcj50nENeJ1TZGIToBIMQqbIYNelWtl/WHKDCs6WoEeSLhm7MATLaXJmVyvnQcQ55nVBFmAR9jbgAIiIi8jwyf7/5FhgRERGZTpW/bpiZmYkpU6YgNzcXzZo1w/Tp09GxY0en+2ZkZODdd9912N60aVPs2LEDADB79mwsWLAAv/76KwAgNTUVr776Ktq2beu+QXgwxsrLYdS/6w7/eQa/5RUh/+wFhAf7oUlUKGI9MK1XR9kQ2TZUrhHZfnlT+RNveU5R5arSK2Dx4sUYOnQoMjMzkZaWhrfffhvdu3fHzp07Ub9+fYf9Z8yYgddee83279LSUlx33XW49957bdvWrVuHf/zjH+jQoQMCAwMxefJkpKenY8eOHYiNjdUyLk/BWHk5jPp33ZY/TiFz7X7sPlpo25YcVQODb0pCanxEFfZMjo6yIbJtqFwjsv3ypvIn3vKcospXpZ8BateuHVq3bo233nrLti0lJQW9evXCxIkTr3r8smXLcPfdd+P3339HfHy8033KyspQs2ZN/L//9//w8MMPu9QvM3wGqPhcKT7ekuM0WTU82A/3psbxf0iX0DFf3nJODv95Bi8v22G3+LFKjqqBcb2aecQrQbLn43hRCSav3u00Obt+RDCeuzXZ4RUU2TZUrhHZfqmMQ5aua91bnlPkOo/4DND58+exZcsWpKen221PT0/Hxo0bXXqMOXPmoGvXrldc/ADAmTNncOHCBUREXPl/nSUlJSgsLLT78XaMlZfDqH/X/ZZX5HTxAwC7jxbit7xrL5+hg46yIbJtqFwjsv3ypvIn3vKcIveosgXQiRMnUFZWhqioKLvtUVFRyMvLu+rxubm5WLVqFQYNGlThfiNGjEBsbCy6du16xX0mTpyIsLAw209cXJxrg/BgjJWXw6h/1+VfpXzG1cprGIWOsiGybahcI7L98qbyJ97ynCL3qPJvgVksFrt/CyEctjkzf/58hIeHo1evXlfcZ/Lkyfjwww+xZMkSBAYGXnG/kSNHoqCgwPaTk5Pjcv89FWPl5TDq33XhVymfcbXyGkaho2yIbBsq14hsv7yp/Im3PKfIPapsARQZGQkfHx+HV3uOHTvm8KrQ5YQQmDt3Lvr27Qt/f3+n+7z++ut49dVXsWbNGrRs2bLCxwsICECNGjXsfrwdY+XlMOrfdU2iQ5Ec5fw5lBxVA02ir718hg46yobItqFyjcj2y5vKn3jLc4rco8oWQP7+/khNTUVWVpbd9qysLHTo0KHCY9evX499+/Zh4MCBTn8/ZcoUvPLKK1i9ejXatGlTaX32JoyVl8Oof9fF1gzG4JuSHBZByVE1MOSmJI/4ADSgp2yIbBsq14hsv7yp/Im3PKfIPar0W2CLFy9G3759MXPmTLRv3x6zZs3C7NmzsWPHDsTHx2PkyJE4fPgwFixYYHdc3759sXfvXnz33XcOjzl58mS89NJL+OCDD5CWlmbbHhISgpCQEJf6ZYZvgVkxVl4Oo/5dZ80BKjh7AWFBfmgS7dk5QO4sGyLbhso1Itsvbyp/4i3PKbo6jyqFkZmZicmTJyM3NxfNmzfHtGnT0KlTJwAXgw+zs7Oxbt062/4FBQWIiYnBjBkz8M9//tPh8RISEvDHH384bB89ejTGjBnjUp/MtAAiIiLyFh61ADIiLoCosnhLAq2Zx+EtKc06kp118JY0dh3Xog5G65PM32/Pu4MReQhvSaA18zi8JaVZR7KzDt6Sxq7jWtTBiH2SUeVfgyfyRsXnSh1uDMDF8LWsnUdRfM4z8kfMPA7ZY1TaOF5U4rAwAS4GDs7fkI3jRSXXtL/qMUak41o0ahtGfB4asU+yuAAicgNvSaA18zi8JaVZR7KzDt6Sxq7jWtTBiH2SxQUQkRt4SwKtmcfhLSnNOpKddfCWNHYd16IORuyTLC6AiNzAWxJozTwOb0lp1pHsrIO3pLHruBZ1MGKfZHEBROQG3pJAa+ZxeEtKs45kZx28JY1dx7WogxH7JIsLICI38JYEWjOPw1tSmnUkO+vgLWnsOq5FHYzYJ1nMAXKCOUBUWbwlgdbM4/CWlGYdyc46eEsau45rUQej9YlBiNeICyAiIiLPI/P3m2+BERERkel43mvYRF5ONlpeR4kDHeUddJQGUJkra1HX/LMXEB7shyZRFRd13X+8CHvzim37N4oKQVLtij9oLNuGjnMu2yeVY4xWRuFa+mXU8hl0ZZw5IgORjZbXUeJAR3kHHaUBVOZqyx+nkLl2P3YfLbRtS46qgcE3JSE1PsJh/037T2Ba1h5sy8m3bWsVF45htzRG+6TISmlDxzmX7ZPKMUYto2DUMhVGnS9PxrfAiAxCNlpeR4kDHeUddJQGUJmrw3+ecfiDDgC7jxYic+1+HP7T/rH2Hy9yWPwAwLacfEzL2oP9xx0Tl2Xb0HHOZfukcoxRyygYtUyFUefL03EBRGQQstHyOkoc6CjvoKM0gMpc/ZZX5PAH3Wr30UL8lmd/zN68YofFj9W2nHzszSu+5jZ0nHPZPqkcY9QyCkYtU2HU+fJ0XAARGYRstLyOEgc6yjvoKA2gMlf5Vznm8seU3V/lGB3nXMc4jFpGwahlKow6X56OCyAig5CNltdR4kBHeQcdpQFU5ir8Ksdc/piy+6sco+Oc6xiHUcsoGLVMhVHny9NxAURkELLR8jpKHOgo76CjNIDKXDWJDkVylPMckeSoGmgSbX9Mo+gQtIoLd7p/q7hwNIoOueY2dJxz2T6pHGPUMgpGLVNh1PnydFwAERmEbLS8jhIHOso76CgNoDJXsTWDMfimJIc/7MlRNTDkpiSHr3cn1Q7FsFsaOyyCWsWF45lbGjv9KrxsGzrOuWyfVI4xahkFo5apMOp8eTomQTvBJGiqSrLR8jpKHOgo76CjNIDKXFmzbQrOXkBYkB+aRLuWA2Tdv1G06zlArrah45zL9knlGKOVUbiWfhm1fIbZsBTGNeICiIiIyPPI/P3m0tHkmCwqx4jzpSOlWSV5WLZfKsnDsm2ozNWu3AL8fuI0Cs6WIjzIFwmR1ZESc+XAQZUkaCMmWqu0YcT0b5VjdDzPjZrgbiacCRNjsqgcI86XjpRmleRh2X6pJA/LtqEyVxv2H8e0NXuw+Y9827Y28eEYlt4YaUm1HfZXSYI2YqK1ShtGTP9WOUbH89yoCe5mww9BmxSTReUYcb50pDSrJA/L9ksleVi2DZW52pVb4LD4AYDNf+Rj2po92JVbYLddJQnaiInWKm0YMf1b5Rgdz3OjJribERdAJsVkUTlGnC8dKc0qycOy/VJJHpZtQ2Wufj9x2mHxY7X5j3z8fuK03TaVJGgjJlqrtGHE9G+VY3Q8z42a4G5GXACZFJNF5RhxvnSkNKskD8v2SyV5WLYNtbmq+JjLf69jHDoSrVXaMGL6t8oxOp7nRk1wNyMugEyKyaJyjDhfOlKaVZKHZfulkjws24baXFV8zOW/1zEOHYnWKm0YMf1b5Rgdz3OjJribERdAJsVkUTlGnC8dKc0qycOy/VJJHpZtQ2WuEiOro018uNNj2sSHIzGyut02lSRoIyZaq7RhxPRvlWN0PM+NmuBuRlwAmRSTReUYcb50pDSrJA/L9ksleVi2DZW5SokJw7D0xg6LoDbx4Xg2vbHDV+FVkqCNmGit0oYR079VjtHxPDdqgrsZMQjRCTMFITJZVI4R50tHSrNK8rBsv1SSh2XbUJmrS3OAwoJ8kehiDpBMErQRE61V2jBi+rfKMTqe50ZNcPd0TIK+RmZaABEREXkLmb/ffAuMiIiITMe7XwsjtzBzvLqO+HodfZIti6BS3sGI5TZUxrH3WCH2HS1G/v9KYTSMCkGjOlf+n6VKSY/sk8XYk1eM/DPnER7sj8bRIUio5fihaas9Rwuw79hf5TmS6lRH46iKE4Rl+yXbJ0DP88OoJVOMeG8wKqP8DTHHXy2qNGaOV9cRX6+jT7JlEVTKOxix3IbKODb+rxTGloN/HZNa/2IpjA5OSmGolPT4/sBJzPhyL345/FcbLWLD8XTXRmjXoJbD/rLlOVT6JdsnQM/zw6glU4x4bzAqI/0N4Vtg5DIzx6vriK/X0SfZsggq5R2MWG5DZRx7jxU6LH4AYMvBi6Uw9h6zn0OVkh7ZJ4sdFhoA8MvhfMz4ci+yT9qnR+85WnF5jj1H7ctzqPRLtk+AnueHUUumGPHeYFRG+xvCBRC5zMzx6jri62XpKIugUt7BiOU2lMZxtNhh8WO15WA+9h21P0alpMeevGKHhYbVL4fzseeyfu07VnF5jn3HTjtsl+2XbJ8u9sv9zw+jlkwx4r3BqIz2N4QLIHKZmePVdcTXy9JRFkGlvIO3lNvI11AKI//M+ascc/6yf8v1SaVfsn1y9hiXq4znh3FLphjv3mBURvsbwgUQuczM8eo64utl6SiLoFLewVvKbYRrKIURHux/lWP8L/u3XJ9U+iXbJ2ePcbnKeH4Yt2SK8e4NRmW0vyFcAJHLzByvriO+XpaOsggq5R2MWG5DaRxRIUit7/yY1PrhaBhlf4xKSY/G0SFoEeu8jRax4Wh8Wb8a1qm4PEfDOtUdtsv2S7ZPF/vl/ueHUUumGPHeYFRG+xvCBRC5zMzx6jri63X0SbYsgkp5ByOW21AZR6M6NTAsvbHDIii1fjieSW/s8FV4lZIeCbVC8HTXRg4Ljhax4RjatZHD184bR1VcnsPZV+Fl+yXbJ0DP88OoJVOMeG8wKqP9DWEStBNMgq6YGePVrXTE1+vok2xZBJXyDkYst6EyDmsOkLUUhqs5QDIlPayZOwVnzyMsSC4HKCzIFw0lcoBc7ZdsnwA9zw+jlkwx4r3BqNz5N4SlMK4RF0BERESeR+bvtzn+205USXQkyspSSeyVTURWaeO3vALsP/5XWnGD2tXRJPrKr1KotCGb0qxjrlTSpmWTnVXakD1G5dqVTWlWSU/WdYwsJkF7Hi6AiFykI1FWlkpir2wiskobsmnFKm3IpjTrmCuVtGnZuVJpQ/YYlWtXNqVZJT1Z1zGymATtma7pQ9Dnz5/HoUOHcPDgQbsfIm+jI1FWlkpir2wiskobv+VVnFb8W559WrFKG7IpzTrmSiVtWjbZWaUN2WNUrl3ZlGaV9GRdx8hiErTnUloA7d27Fx07dkRQUBDi4+ORmJiIxMREJCQkIDExsbL7SFTldCTKylJJ7JVNRFZpY//xitOK9x+3TytWSh6WTGnWMVdqqdlyyc4qbcgeo3LtyqY0q6Qn6zpGFpOgPZfSW2AZGRnw9fXFihUrEBMTA4vFUtn9IjIUHYmyslQSe/WkAksmKCuNQ0cbOlKzNaRNSx6jcu3KtqGSnqzrGFlMgvZcSgugbdu2YcuWLUhOTq7s/hAZko5EWVkqib16UoElE5SVxqGjDR2p2RrSpiWPUbl2ZdtQSU/WdYwsJkF7LqW3wJo2bYoTJ05Udl+IDEtHoqwslcRe2URklTaSalecVpxU2z6tWCl5WDKlWcdcqaVmyyU7q7Qhe4zKtSub0qySnqzrGFlMgvZcSgugSZMm4bnnnsO6detw8uRJFBYW2v0QeRsdibKyVBJ7ZRORVdpoEl1xWvHlX4VXaUM2pVnHXKmkTcsmO6u0IXuMyrUrm9Kskp6s6xhZTIL2XEpBiNWqXVw3Xf7ZHyEELBYLysrKKqd3VYRBiHQlOhJlZakk9somIqu0cWkOUFiQL5JczAGSaUM2pVnHXKmkTcsmO6u0IXuMyrUrm9Kskp6s6xhZTII2BrcnQa9fv77C33fu3Fn2IQ2FCyAiIiLP4/YkaE9f4BAREZG5Kb8Wn5+fjzlz5mDXrl2wWCxo2rQpBgwYgLAwudTLzMxMTJkyBbm5uWjWrBmmT5+Ojh07Ot03IyMD7777rsP2pk2bYseOHbZ/f/rpp3jppZewf/9+JCUlYcKECbjrrrvkBkgeR0fZCR1kywmojFs2tl9H+QHZcQPy5TZUxiE7v7JlLQD5MhUq45BtQ7bMCKBWakSWShtGvDfo6JMRx20kSm+Bbd68Gd26dUNQUBDatm0LIQQ2b96Ms2fPYs2aNWjdurVLj7N48WL07dsXmZmZSEtLw9tvv4133nkHO3fuRP369R32LygowNmzf4VwlZaW4rrrrsOTTz6JMWPGAAA2bdqEjh074pVXXsFdd92FpUuX4uWXX8a3336Ldu3audQvvgXmeXSUndBBtpyAyrhlY/t1lB+QHTcgX0JCZRyy8yvbJ0C+TIXKOGTbkC0zAqiVGpGl0oYR7w06+mTEcevg9s8AdezYEQ0bNsTs2bPh63txNVlaWopBgwbhwIED+O9//+vS47Rr1w6tW7fGW2+9ZduWkpKCXr16YeLEiVc9ftmyZbj77rvx+++/Iz4+HgBw3333obCwEKtWrbLtd+utt6JmzZr48MMPXeoXF0CepfhcKT7ekuM0vTY82A/3psZ5xP96Dv95Bi8v2+E0UTc5qgbG9Wpm94qIyriPF5Vg8urdTpNr60cE47lbk+1eSZDdX+UY2XEDF1/5GbX0V6cpym3iwzHhruZ2rwSpjEN2fvccLcALS67cp1fvbu7wStD+40UY+ekvTpOaW8WFY+I9LexepVEZh2wbe48V4oVPf3GatJ1aPxyv3tPC4ZWg7JPFeOHTX52mbbeIDcer9zS/5leCVNow4r1BR5+MOG5dZP5+K30NfvPmzXj++edtix8A8PX1xXPPPYfNmze79Bjnz5/Hli1bkJ6ebrc9PT0dGzdudOkx5syZg65du9oWP8DFV4Auf8xu3bpV+JglJSX8Kr8H01F2QgfZcgIq45aN7ddRfkB23IB8uQ2VccjOr2xZC0C+TIXKOKTbkCwzAqiVGpGl0oYR7w06+mTEcRuR0gKoRo0aToue5uTkIDTUtdCnEydOoKysDFFRUXbbo6KikJeXd9Xjc3NzsWrVKgwaNMhue15envRjTpw4EWFhYbafuLg4l8ZAxqCj7IQOOkoWyMb26yg/oKOEhMo4ZOdXtk+AnhIS8iU9FMahUGpElkobRrw36OiTEcdtREoLoPvuuw8DBw7E4sWLkZOTg0OHDmHRokUYNGgQ/vGPf0g91pWyhK5m/vz5CA8PR69eva75MUeOHImCggLbT05OjmudJ0PQUXZCBx0lC2Rj+3WUH9BRQkJlHLLzK9snQE8JCfmSHgrjUCg1IkulDSPeG3T0yYjjNiKlBdDrr7+Ou+++Gw8//DASEhIQHx+PjIwM9O7dG5MmTXLpMSIjI+Hj4+PwysyxY8ccXsG5nBACc+fORd++feHvb3/RR0dHSz9mQEAAatSoYfdDnkNH2QkdZMsJqIxbNrZfR/kB2XED8uU2VMYhO7+yZS0A+TIVKuOQbkOyzAigVmpElkobRrw36OiTEcdtRNILoLKyMmzatAmjR4/Gn3/+iW3btmHr1q04deoUpk2bhoAA15Iv/f39kZqaiqysLLvtWVlZ6NChQ4XHrl+/Hvv27cPAgQMdfte+fXuHx1yzZs1VH5M8l46yEzrIlhNQGbdsbL+O8gOy4wbky22ojEN2fmXLWgDyZSpUxiHbhmyZEUCt1IgslTaMeG/Q0ScjjtuIlL4FFhgYiF27diExMfGaGrd+DX7mzJlo3749Zs2ahdmzZ2PHjh2Ij4/HyJEjcfjwYSxYsMDuuL59+2Lv3r347rvvHB5z48aN6NSpEyZMmIA777wTn332GV588UV+Dd4EdJSd0EG2nIDKuGVj+3WUH5AdNyBfbkNlHLLzK1vWApAvU6EyDtk2ZMuMAGqlRmSptGHEe4OOPhlx3O4m9fdbKGjTpo348ssvVQ518Oabb4r4+Hjh7+8vWrduLdavX2/7Xb9+/UTnzp3t9s/PzxdBQUFi1qxZV3zMjz/+WDRp0kT4+fmJ5ORk8emnn0r1qaCgQAAQBQUFUscRERFR1ZH5+630CtCaNWvw/PPP45VXXkFqaiqqV7d/b9vTXzXhK0CeSTb1VCUlVUeyqkrKryzZNF0dSdAqCb+yx6ikNMsmIutIglZpQ/YYlWRu2fMhO25VOpLPdWCy89W5PQjRWg0esP/GlWA1eKoisqmnKimpOpJVVVJ+Zcmm6epIglZJ+JU9RiWlWTYRWUcStEobsseoJHPLng/ZcavSkXyug1mTnWW5PQjx66+/tv2sXbvW9mP9N5FOxedKHW4MwMXAr6ydR1F8rvSa9lc9RtbxohKHGy9wMeBu/oZsHC8queY2sk8WO/yRAi4Gyc34ci+yT9qHyan0SfYY2T6pHLPnaIHDAgC4GFA4bc0e7Dla4NDG3mOFDosf4GIY4LQ1e7D3mH14o0ob+48XOSwCgIsBhdOy9mD/cftgQ5U2ZI85/OcZh8UPcDGUMnPtfhz+0zGIUfZ8yI5bley1qOM5qELH/ceMlBZAiYmJ6NSpEzp37mz306lTp2v+YDSRLNnUU5WUVB3Jqiopv7Jk03R1JEGrJPzKj0M+pVk2EVlPErTCOCSPUUnmlj0fsuNWpSP5XAcmO7uH8gLo+PHjDttPnTrFBRBpJ5t6qpKSqiNZVSXlV5Zsmq6WJGiFhF/5caikNMumTetIgpZvQ/YYlWRu2fOh0oYKHcnnOjDZ2T2UFkDiCsnKxcXFCAwMvOZOEcmQTT1VSUnVkayqkvIrSzZNV0sStELCr/w4VFKaZdOmdSRBy7che4xKMrfs+VBpQ4WO5HMdmOzsHlKz9swzzwC4+MHnl156CcHBf33wqqysDN9//z1atWpVqR0kuhpr6umVKh9fnnoqu7/qMbKsKb9XqvTtLOVXljVN90oVtS9P01Xpk+wxsn1SG8fFlOYrVWp3ltJsTUS+UlX0yxORVdqwpjRfqVK7YxK0wjgkj7Emczt7G+xKydyy50N23Kpkr0Udz0EVOu4/ZiT1CtDWrVuxdetWCCHwyy+/2P69detW7N69G9dddx3mz5/vpq4SOSebeqqSkqojWVUl5VeWbJqujiRolYRf2WNUUpplE5F1JEGrtCF7jEoyt+z5kB23Kh3J5zow2dk9lL4G379/f8yYMcNrvyLOr8F7JtnUU5WUVB3Jqiopv7Jk03R1JEGrJPzKHqOS0iybiKwjCVqlDdljVJK5Zc+H7LhV6Ug+18GMyc6y3J4DdKmcnBxYLBbUq1fvWh7GULgAIiIi8jxuzwEqLS3FSy+9hLCwMFs1+LCwMLz44ou4cKFyPr1PRERE5C5Kr5098cQTWLp0KSZPnoz27dsDADZt2oQxY8bgxIkTmDlzZqV2kszHqGUqdJAtQaAybiOWqVApvSBb3kGlxIFsGyrlHWTHrtKG7NhV2pC9FnW0oULHc8pbePJ9V+ktsLCwMCxatAjdu3e3275q1Srcf//9KChwTCP1JHwLrGoZtUyFDrIlCFTGbcQyFSqlF2TLO6iUOJBtQ6W8g+zYVdqQHbtKG7LXoo42VOh4TnkLI9533f4WWGBgIBISEhy2JyQkwN+/4jwIoooYtUyFDrIlCFTGbcQyFSqlF2TLO6iUOJBtQ6W8g+zYVdqQHbtKG7LXoo42VOh4TnkLb7jvKi2AhgwZgldeeQUlJX+d2JKSEkyYMAFPPPFEpXWOzMeoZSp0kC1BoDJuI5apUCm9IFveQa2kh1wbKuUdZMeu0obs2FXakL0WdbShQsdzylt4w31X6Y26rVu34quvvkK9evVw3XXXAQC2b9+O8+fP4+abb8bdd99t23fJkiWV01MyBaOWqdBBtjyAyriNWKZCpSyCbHkHtZIeGkpISB6jNleS51yhDdlrUUcbKnQ8p7yFN9x3lRZA4eHhuOeee+y2xcXFVUqHyNyMWqZCB9nyACrjNmKZCpWyCLLlHdRKemgoISF5jNpcSZ5zhTZkr0UdbajQ8ZzyFt5w31Xq4bx58yq7H0QAjFumQgfZEgQq4zZimQqV0guy5R3USnrItaFS3kF27CptyI5dpQ3Za1FHGyp0PKe8hTfcd5U+AwRczAL68ssv8fbbb6Oo6OJ7nEeOHEFxseN7t0SuMmqZCh1kSxCojNuIZSpUSi/IlndQKXEg24ZKeQfZsau0ITt2lTZkr0UdbajQ8ZzyFt5w31X6Gvwff/yBW2+9FQcPHkRJSQn27NmDBg0aYOjQoTh37pzH5wDxa/BVz6hlKnSQLUGgMm4jlqlQKb0gW95BpcSBbBsq5R1kx67ShuzYVdqQvRZ1tKFCx3PKWxjtvuv2Uhi9evVCaGgo5syZg1q1amH79u1o0KAB1q9fj0GDBmHv3r3KnTcCLoCIiIg8j8zfb6Vl2rfffosNGzY4ZP7Ex8fj8OHDKg9JRP8jm6CskkAre4y1IGj+/9KQr1YQFJBP+f0trwD7j/+VuNygdnU0ia44RM6I41BJtJYdh442VNK/Zfulcu2qjF02rdisqc5mo7QAKi8vR1lZmcP2Q4cOITTUOz/wRaSDbIKySgKt7DEb/5eGvOXgX31KrX8xDbmDkzRkQD7lVzZx2ajjUEm0lh2HjjZU0r9l+6Vy7aqMXTat2Kypzmak9CHoW265BdOnT7f922KxoLi4GKNHj0aPHj0qq29EpiKboKySQCt7zN5jhQ6LBgDYcvBiGvLeY47fXpJN+f0tr+LE5d/yHEvrGHEcKonWsuPQ0YZK+rdsv1SuXZWxy6YVmzXV2ayUFkDTpk3D+vXr0bRpU5w7dw4PPPAAEhIScPjwYUyaNKmy+0hkCrIJymrpxnLH7Dta7LBosNpyMB/7jjr+MZRN+d1/vOLE5f3HTztsN+I41BKt5cahow2V9G/Zfqlcuypjl00rNmuqs1kpvQVWt25dbNu2DYsWLcKWLVtQXl6OgQMH4sEHH0RQkPG/+09kRLIJymrpxrKpwHJpyBePkUv5lU1cdvYYl6uKcRg1pVlL+rf0OZe/dnWkR5s11dmslL+rFhQUhP79+6N///6V2R8i05JNUFZLN5ZNBZZLQ754jFzKr2zisrPHuFxVjMOoKc1a0r+lz7n8tasjPdqsqc5mpfQW2MSJEzF37lyH7XPnzuVbYESKrAnKzjhLULYm0Dpz5XRjuWMaRoUgtb7zPqXWD0fDKMdvBVlTfp1xlvKbVLu6Q9igVZv4cCTVru6w3YjjsKY6O3PlRGu5cehoQ/Y6VOmXyrWrMnZrWrEzztKKVfpFnktpAfT2228jOTnZYXuzZs08PgSRqKrIJiirJNDKHtOoTg0MS2/ssHhIrR+OZ9IbO/0KuWzKb5PoihOXnX0V3ojjUEm0lh2HjjZU0r9l+6Vy7aqMXTat2KypzmalFIQYGBiIXbt2ITEx0W77gQMHbB+M9mQMQqSqJJugrJJAK3uMNT/HloYskZ/jasrvpTlAYUG+SJLIATLSOFQSrWXHoaMNlfRv2X6pXLsqY5dNKzZrqrM3cHsSdKNGjTB69Gg89NBDdtvfe+89jB49GgcOHJB9SEPhAoiIiMjzuD0JetCgQRg6dCguXLiAm266CQDw1Vdf4bnnnsOzzz6r8pBERERE2igtgJ577jmcOnUKgwcPxvnzF78SGRgYiOeffx4jR46s1A6Se8lGxHsTlbh72flSmV8d5QRk6SiLcGnR0fAgXyRdpegooKfcxu7cAhw48dcxiZHVkRxz9WKorvYJ0FP+RPZ8GLWkhwrZfpn5vmgm0m+BlZWV4dtvv0WLFi3g7++PXbt2ISgoCI0aNUJAgHe8R2qWt8BkI+K9iUrcvex8qcyvjnICsnSURVAphaGj3IbsMbJ9AvSUP5E9H0Yt6aFCtl9mvi96A5m/39LfAvPx8UG3bt1QUFCAkJAQ/O1vf0Pz5s29ZvFjFrIR8d5EJe5edr5U5ldHOQFZOsoi7DlacSmMPUcdS2HoKLexO7fiY3bn2h8j2ydAT/kT2fNh1JIeKmT7Zeb7ohkpfQ2+RYsWHv9BZ7OTjYj3Jipx97LzpTK/OsoJyNJTFqHiUhj7jjmWwtBRbuPAiYqPOXDC/hjZPgF6yp/Ing+jlvRQIdsvM98XzUhpATRhwgQMHz4cK1asQG5uLgoLC+1+yPhkI+K9iUrcvex8qcyvjnICsvSURTBquQ25Y1RKNegof+ItJT1UyPbLzPdFM1L6VNett94KALjjjjtgsVhs24UQsFgsKCsrq5zekdvIRsR7E5W4e9n5UplfHeUEZOkpi2DUchtyx6iUatBR/sRbSnqokO2Xme+LZqT0CtDXX39t+1m7dq3tx/pvMj7ZiHhvohJ3LztfKvOro5yALD1lESouhdGwjmMpDB3lNhpEVnxMg0j7Y2T7BOgpfyJ7Poxa0kOFbL/MfF80I6UFUOfOnSv8IeOTjYj3Jipx97LzpTK/OsoJyNJRFqFxVMWlMJx9FV5HuY3kmIqPufyr8LJ9AvSUP5E9H0Yt6aFCtl9mvi+akVISNAB88803ePvtt3HgwAF8/PHHiI2NxXvvvYfExETceOONld1PrczyNXhAPiLem6jE3cvOl8r86ignIEtHWYRLc4DCgnzRUCIHyJ3lNi7NAQoL8kUDF3OAXO0ToKf8iez5MGpJDxWy/TLzfdHTub0Uxqeffoq+ffviwQcfxHvvvYedO3eiQYMGyMzMxIoVK7By5UrlzhuBmRZARERE3sLtpTDGjx+PmTNn4uGHH8aiRYts2zt06IBx48apPCSRdippryqJyLJk03FVxiGbuqySPCw7V7KJy4B86rJKSrPsXFkLrub/b39XCq7KHqNyPlTGLku2DV1J0LLPER3p6kybrnpKs/3bb7+hU6dODttr1KiB/Pz8a+0TkduppL2qJCLLkk3HVRmHbLqxSvKw7FzpSIJWSWmW7dfG/+2/5eBf+6fWv7h/hyuMQ/YYlfOhMnZZsm3oSoKWfY7oSFdn2rQxKH0IOiYmBvv27XPY/u2336JBgwbX3Ckid1JJe1VJRJYlm46rMg7Z1GWV5GHZuZJNXAbkU5dVUppl52rvsUKHhQwAbDl4cf+9xxwz0mSPUTkfKmOXJduGriRo2eeIjnR1pk0bh9IC6NFHH8XTTz+N77//HhaLBUeOHMHChQsxfPhwDB48uLL7SFSpVNJeVRKRZcmm46qMQzZ1WSV5WHauZBOXAfnUZZWUZum5OlrssJCx2nIwH/uOOmlD8hiV86EydlmybehKgpZ9juhIV2fatHEoV4MvLCxEly5dcO7cOXTq1AkBAQEYPnw4nnjiicruI1GlUkppVkhEliWbjqsyDtl0Y6XkYel0Y/cnQaulG8smQauMQ8P50JC6rON8qJB9juhIV2fatHFILYDOnDmDf/3rX1i2bBkuXLiA22+/Hc8++ywAoGnTpggJqdwPgxK5g1JKs0IisizZdFyVccimGyslD0unG7s/CVot3Vg2CVplHBrOh4bUZR3nQ4Xsc0RHujrTpo1D6i2w0aNHY/78+bjtttvwj3/8A2vXrsWUKVPQtm1bLn7IY6ikvaokIsuSTcdVGYds6rJK8rDsXMkmLgPyqcsqKc3ScxUVgtT6zvdPrR+OhlFO2pA8RuV8qIxdlmwbupKgZZ8jOtLVmTZtHFILoCVLlmDOnDmYNWsWZsyYgf/85z9YtmwZa3+RR1FJe1VJRJYlm46rMg7Z1GWV5GHZuZJNXAbkU5dVUppl56pRnRoYlt7YYUGTWj8cz6Q3dvq1dtljVM6HythlybahKwla9jmiI12dadPGIRWE6O/vj99//x2xsbG2bUFBQdizZw/i4uLc0sGqwCBEc1BJe1VJRJYlm46rMg7Z1GWV5GHZuZJNXAbkU5dVUppl58qa6WPbXyIHyNVjVM6HythlybahKwla9jmiI12dadPu4bYkaB8fH+Tl5aF27b+yKUJDQ/Hzzz8jMTFRvccGwwUQERGR53FbErQQAhkZGQgI+GslfO7cOTz22GOoXv2v98OXLFki2WUiIiIifaQWQP369XPY9tBDD11TBzIzMzFlyhTk5uaiWbNmmD59Ojp27HjF/UtKSjBu3Di8//77yMvLQ7169TBq1CgMGDDAts/06dPx1ltv4eDBg4iMjETv3r0xceJEBAYGXlNf6SKjRrjL9ktlHDoi9WVLSKiUE9AxDtmyCDpKSFxaDDU8yBcNXCiGKju/KiUnZOdXtjyHShsq15WOEhIqjHhvoKondXbmzZtXqY0vXrwYQ4cORWZmJtLS0vD222+je/fu2LlzJ+rXr+/0mD59+uDo0aOYM2cOGjZsiGPHjqG09K/chIULF2LEiBGYO3cuOnTogD179iAjIwMAMG3atErtvxkZNcJdtl8q49ARqS9bQkKlnICOcciWRdBRQkKl3Ibs/KqUnJCdX5VxyLahcl3pKCGhwoj3BjIGpSToyjJ16lQMHDgQgwYNQkpKCqZPn464uDi89dZbTvdfvXo11q9fj5UrV6Jr165ISEhA27Zt0aFDB9s+mzZtQlpaGh544AEkJCQgPT0d//jHP7B582Zdw/JaRo1wl+2Xyjh0ROrLlpBQKSegYxyyZRF0lJD4La/isha/5TmW25CdX5WSE7LzK1ueQ6UNletKRwkJFUa8N5BxVNkC6Pz589iyZQvS09Pttqenp2Pjxo1Oj1m+fDnatGmDyZMnIzY2Fo0bN8bw4cNx9uxf0eE33ngjtmzZgh9++AEAcODAAaxcuRK33XbbFftSUlKCwsJCux9yZNQId9l+qYxDR6S+bAkJlXICOsYhWxZBRwmJ/ccrLmux/7hjuQ3Z+VUrtyE3v7LlOVTaULmudJSQUGHEewMZR5W9QXnixAmUlZUhKirKbntUVBTy8vKcHnPgwAF8++23CAwMxNKlS3HixAkMHjwYp06dwty5cwEA999/P44fP44bb7wRQgiUlpbi8ccfx4gRI67Yl4kTJ2Ls2LGVNzgvZdQId9l+qYxDR6S+bAkJlXICWsYhXRZBRwkJo5bbkJtflXHItqFjHLoY8d5AxlGlb4EBgMVisfu3EMJhm1V5eTksFgsWLlyItm3bokePHpg6dSrmz59vexVo3bp1mDBhAjIzM/HTTz9hyZIlWLFiBV555ZUr9mHkyJEoKCiw/eTk5FTeAL2IUSPcZfulMg4dkfqyJSRUygloGYd0WQQdJSSMWm5Dbn5VxiHbho5x6GLEewMZR5UtgCIjI225Qpc6duyYw6tCVjExMYiNjUVY2F8fqEtJSYEQAocOHQIAvPTSS+jbty8GDRqEFi1a4K677sKrr76KiRMnory83OnjBgQEoEaNGnY/5MioEe6y/VIZh45IfdkSEirlBHSMQ7Ysgo4SEkm1Ky5rkVTbsdyG7PyqlduQm1/Z8hwqbahcVzpKSKgw4r2BjKPKFkD+/v5ITU1FVlaW3fasrCy7DzVfKi0tDUeOHEFx8V/vpe/ZswfVqlVDvXr1AFws2Fqtmv2wfHx8IISAROYjOWHUCHfZfqmMQ0ekvmwJCZVyAjrGIVsWQUcJiSbRFZe1cPZVeNn5VSk5ITu/suU5VNpQua50lJBQYcR7AxmHVBJ0ZVu8eDH69u2LmTNnon379pg1axZmz56NHTt2ID4+HiNHjsThw4exYMECAEBxcTFSUlJwww03YOzYsThx4gQGDRqEzp07Y/bs2QCAMWPGYOrUqZg1axbatWuHffv24fHHH0dqaioWL17sUr+YBF0xo0a4y/ZLZRw6IvVlS0iolBPQMQ7Zsgg6SkhcmgMUFuSLJIkcIFfnV6XkhOz8ypbnUGlD5brSUUJChRHvDeQebiuF4Q6ZmZmYPHkycnNz0bx5c0ybNg2dOnUCAGRkZCA7Oxvr1q2z7b979248+eST2LBhA2rVqoU+ffpg/PjxCAq6+DJjaWkpJkyYgPfeew+HDx9G7dq1cfvtt2PChAkIDw93qU9cABEREXkej1oAGREXQOagI+1VpQ2VBF5Zsom9KgnK7u4TIJ+IrDIOb0nmlj1GJZlbllETl1XmV8e9ga7ObbXAiLyFjrRXlTZUEnhl6UgednefVPqlMg5vSeaWPUYlmVuWUROXVeZXx72BKl+Vfw2eSDcdaa8qbagk8MqSTexVSVB2d58A+URklXF4SzK37DEqydyyjJq4rDK/Ou4N5B5cAJHp6Eh7VWlDJYFXlmxir0qCsrv7dPEYuURklXF4SzK3dNq0QjK3LKMmLqvMr457A7kHF0BkOjrSXlXaUEnglaUjedjdfXKl3UpJgvaSZG75JGj3n3OjJi6rzK+OewO5BxdAZDo60l5V2lBJ4JWlI3nY3X1ypd1KSYL2kmRu+SRo959zoyYuq8yvjnsDuQcXQGQ6OtJeVdpQSeCVJZvYq5Kg7O4+XTxGLhFZZRzekswtnTatkMwty6iJyyrzq+PeQO7BBRCZjo60V5U2VBJ4Zckm9qokKLu7T4B8IrLKOLwlmVv2GJVkbllGTVxWmV8d9wZyD+YAOcEcIHPQkfaq0oZKAq8s2cRelQRld/cJkE9EVhmHtyRzyx6jkswty6iJyyrzq+PeQFfHIMRrxAUQERGR55H5+823wIiIiMh0+HqbRow+Nxajng8d/ZJtQ6W8g2zZCZXyA7LlGmTLWqiMXaUN2WNUrhHZ+VU5H7J0PQeN+lynqsUrQBNGnxuLUc+Hjn7JtqFS3kG27IRK+QHZcg2yZS1Uxq7ShuwxKteI7PyqnA9Zup6DRn2uU9XjW2AaMPrcWIx6PnT0S7YNlfIOsmUnVMoPyJZrkC1roTJ2lTZkj1G5RmTnV+V8yNL1HDTqc52MgQsgDRh9bixGPR86+iXbhkp5B9myE0rlHSTLNciWtQDkx67ShuwxKteIdCkMhfMhS9dz0KjPdTIGLoA0YPS5sRj1fOjol2wbKuUd5MtUyJcfkC3XIFvW4mIbcmNXakPyGJVrRL78ifz5kKXrOWjU5zoZAxdAGjD63FiMej509Eu2DZXyDvJlKuTLD8iWa5Ata3GxDbmxK7UheYzKNSJf/kT+fMjS9Rw06nOdjIELIA0YfW4sRj0fOvol24ZKeQfZshNK5R0kyzXIlrUA5Meu0obsMSrXiHQpDIXzIUvXc9Coz3UyBi6ANGD0ubEY9Xzo6JdsGyrlHWTLTqiUH5At1yBb1kJl7CptyB6jco3Izq/K+ZCl6zlo1Oc6GQOToJ1wVxI0o8+NxajnQ0e/ZNtQKe8gW3ZCpfyAbLkG2bIWKmNXaUP2GJVrRHZ+Vc6HLF3PQaM+16nysRTGNWIpDCIiIs8j8/ebS2CT86aEVNmx6Bi7SpqujsRe2WNU5kpHgrKOuTJiSrNKG0Z8fjAJmqoSrwAT86aEVNmx6Bi7SpqujsRe2WNU5kpHgrKOuTJiSrNKG0Z8fjAJmqoaPwRtUt6UkCo7Fh1jV0nT1ZHYK3uMylzpSFDWMVdGTGlWacOIzw8mQZMRcAFkUt6UkCo7Fh1jV0o31pDYK3uMylzpSFDWMVdGTGlWacOIzw8mQZMRcAFkUt6UkCo7Fh1jV0nT1ZHYK3uMylzpSFDWMVdGTGlWacOIzw8mQZMRcAFkUt6UkCo7Fh1jV0nT1ZHYK3uMylzpSFDWMVdGTGlWacOIzw8mQZMRcAFkUt6UkCo7Fh1jV0o31pDYK3uMylzpSFDWMVdGTGlWacOIzw8mQZMRcAFkUt6UkCo7Fh1jV0nT1ZHYK3uMylzpSFDWMVdGTGlWacOIzw8mQZMRMAjRCTMFIXpTQqrsWHSMXSVNV0dir+wxKnOlI0FZx1wZMaVZpQ0jPj+YBE2VjUnQ18hMCyAiIiJvIfP3m2+BERERkenwNUAiCbLlHXSULFAp76BjHLKMOlc6ylToKOkhe85V6Jgro/KmsZgFzw6Ri2TLO+goWaBS3kHHOGQZda50lKnQUdJD9pyr0DFXRuVNYzETvgVG5ALZ8g46ShaolHfQMQ5ZRp0rHWUqdJT0kD3nKnTMlVF501jMhgsgIhfIlnfQUbJApbyDjnHIMupc6ShToaOkh+w5V6FjrozKm8ZiNlwAEblAtryDjpIFSuUdNIxDllHnSkeZCi0lPSTPuQodc2VU3jQWs+ECiMgFsuUddJQsUCrvoGEcsow6VzrKVGgp6SF5zlXomCuj8qaxmA0XQEQukC3voKNkgUp5Bx3jkGXUudJRpkJHSQ/Zc65Cx1wZlTeNxWy4ACJygWx5Bx0lC1TKO+gYhyyjzpWOMhU6SnrInnMVOubKqLxpLGbDJGgnmARNVyJb3kFHyQKV8g46xiHLqHOlo0yFjpIesudchY65MipvGosnYymMa8QFEBERkeeR+fvN5SmRG6mk7xoxTVdHirCOJOj9x4uwN6/YNo5GUSFIql3xZ2BUUpdlmTVFWMc5Vz2GvB+vACI3UUnfNWKaro4UYR1J0Jv2n8C0rD3YlpNv29YqLhzDbmmM9kmRTttQSV2WZdYUYR3nXPUYMgd+CJrIDVTSd42YpqsjRVhHEvT+40UOix8A2JaTj2lZe7D/uGMYoErqsiyzpgjrOOeqx5B5cAFE5AYq6btGTNPVkSKsIwl6b16xw+LHaltOPvbmFTtsV0ldlmXWFGEd51z1GDIPLoCI3EAlfdeIabo6UoR1JEHrOB8qzJoirOOcqx5D5sEFEJEbqKTvGjFNV0eKsI4kaB3nQ4VZU4R1nHPVY8g8uAAicgOV9F0jpunqSBHWkQTdKDoEreLCne7fKi4cjaJDHLarpC7LMmuKsI5zrnoMmQcXQERuoJK+a8Q0XR0pwjqSoJNqh2LYLY0dFkGt4sLxzC2NnX4VXiV1WZZZU4R1nHPVY8g8GIToBIMQqbKopO8aMU1XR4qwjiRoaw6QdRyNol3PAZJJXZZl1hRhHedc9RjyTEyCvkZcABEREXkemb/ffAuMiIiITKfKF0CZmZlITExEYGAgUlNT8c0331S4f0lJCUaNGoX4+HgEBAQgKSkJc+fOtdsnPz8fQ4YMQUxMDAIDA5GSkoKVK1e6cximUnyuFL/lFeGng39iT14Rw8QqoDJXsseotHH4zzNYu+solvx0CGt3H71qoKHs/qr9kqVjrni9E3mnKn0TdPHixRg6dCgyMzORlpaGt99+G927d8fOnTtRv359p8f06dMHR48exZw5c9CwYUMcO3YMpaV/3ZDOnz+PW265BXXq1MEnn3yCevXqIScnB6Gh1/6NDWKsvAwdsf0qbciWtlAphaHjOtExV7zeibxXlX4GqF27dmjdujXeeust27aUlBT06tULEydOdNh/9erVuP/++3HgwAFERDi/8c6cORNTpkzB7t274eenllHCzwA5V3yuFB9vyXGarBoe7Id7U+P4wcL/UZkr2WNU2jj85xm8vGyH03Tn5KgaGNermd2Hm2X3V+2XLB1zxeudyPN4xGeAzp8/jy1btiA9Pd1ue3p6OjZu3Oj0mOXLl6NNmzaYPHkyYmNj0bhxYwwfPhxnz56126d9+/YYMmQIoqKi0Lx5c7z66qsoKyu7Yl9KSkpQWFho90OOGCvvOh2x/SptyJa2UCmFoeM60TFXvN6JvFuV/fflxIkTKCsrQ1RUlN32qKgo5OXlOT3mwIED+PbbbxEYGIilS5fixIkTGDx4ME6dOmX7HNCBAwewdu1aPPjgg1i5ciX27t2LIUOGoLS0FC+//LLTx504cSLGjh1buQP0QoyVd52O2H6VNmRLQqiUkNBxneiYK17vRN6tyj8EbbFY7P4thHDYZlVeXg6LxYKFCxeibdu26NGjB6ZOnYr58+fbXgUqLy9HnTp1MGvWLKSmpuL+++/HqFGj7N5mu9zIkSNRUFBg+8nJyam8AXoRxsq7Tkdsv0obsiUhVEpI6LhOdMwVr3ci71ZlC6DIyEj4+Pg4vNpz7Ngxh1eFrGJiYhAbG4uwsDDbtpSUFAghcOjQIds+jRs3ho+Pj90+eXl5OH/+vNPHDQgIQI0aNex+yBFj5V2nI7ZfpQ3Z0hYqpTB0XCc65orXO5F3q7IFkL+/P1JTU5GVlWW3PSsrCx06dHB6TFpaGo4cOYLi4mLbtj179qBatWqoV6+ebZ99+/ahvLzcbp+YmBj4+/u7YSTmwVh51+mI7VdpQ7a0hUopDB3XiY654vVO5N2q9FtgixcvRt++fTFz5ky0b98es2bNwuzZs7Fjxw7Ex8dj5MiROHz4MBYsWAAAKC4uRkpKCm644QaMHTsWJ06cwKBBg9C5c2fMnj0bAJCTk4OmTZsiIyMDTz75JPbu3YsBAwbgqaeewqhRo1zqF78FVjHGyrtOR2y/ShuypS1USmHouE50zBWvdyLP4VGlMDIzMzF58mTk5uaiefPmmDZtGjp16gQAyMjIQHZ2NtatW2fbf/fu3XjyySexYcMG1KpVC3369MH48eMRFPTXy9GbNm3CsGHDsG3bNsTGxmLgwIF4/vnn7d4WqwgXQERERJ7HoxZARsQFUNWz/q/79PlShPj7oi7/1+1xrEVEC85eQHiQH5KuUkRUdn9ddFyLZr3ezTpuXcw4vzJ/v717JsgjMX3X8+04UoD5G7Jx8NRfJTPqRwQjIy0BzeqGXfP+uhgx0dpbmHXcunB+r67KvwZPdKnic6UOT1rgYvBc1s6jrMPkAY4XlTgsZgDg4KkzmL8hG8eLSq5pf110XItmvd7NOm5dOL+u4QKIDIXpu55v37Eih8WM1cFTZ7DvWNE17a+LEROtvYVZx60L59c1XACRoTB91/M5S4e+VOFZ+3Mou78uRky09hZmHbcunF/XcAFEhsL0Xc/nLB36UjWC7M+h7P66GDHR2luYddy6cH5dwwUQGQrTdz1fwzqhqB/h/EOW9SOC0bBO6DXtr4sRE629hVnHrQvn1zVcAJGhMH3X89UODUBGWoLDosb6ra7Lv9ouu78uRky09hZmHbcunF/XMAfICeYAVT2m73o+a65P4dlS1AjyRUMXc4Bc3V8XIyZaewuzjlsXM84vgxCvERdAREREnkfm7zffAiMiIiLT8e7XwsgQzBjHbmXU8g5GpDJXOsptyB7jLaUzvKUNoivhlUZuZeY4dqOWdzAilbnSUW5D9hhvKZ3hLW0QVYRvgZHbmDmO3ajlHYxIZa50lNuQPcZbSmd4SxtEV8MFELmNmePYjVrewYhU5kpHuQ3ZY7yldIa3tEF0NVwAkduYOY7dqOUdjEhlrnSU25A9xltKZ3hLG0RXwwUQuY2Z49iNWt7BiFTmSke5DdljvKV0hre0QXQ1XACR25g5jt2o5R2MSGWudJTbkD3GW0pneEsbRFfDBRC5jZnj2I1a3sGIVOZKR7kN2WO8pXSGt7RBdDVMgnaCSdCVy4xx7FZGLe9gRCpzpaPchuwx3lI6w1vaIHNhKYxrxAUQERGR55H5+82lNhkSU2iNxcyJ1ma9Tsw6bjIPXs1kOEyhNRYzJ1qb9Tox67jJXPghaDIUptAai5kTrc16nZh13GQ+XACRoTCF1ljMnGht1uvErOMm8+ECiAyFKbTGYuZEa7NeJ2YdN5kPF0BkKEyhNRYzJ1qb9Tox67jJfLgAIkNhCq2xmDnR2qzXiVnHTebDBRAZClNojcXMidZmvU7MOm4yHwYhOsEgxKrHFFpjMXOitVmvE7OOmzwbk6CvERdAREREnkfm7zffAiMiIiLT4euZBsYoejmcL9dxrojI7HjHMyhG0cvhfLmOc0VExLfADIlR9HI4X67jXBERXcQFkAExil4O58t1nCsioou4ADIgRtHL4Xy5jnNFRHQRF0AGxCh6OZwv13GuiIgu4gLIgBhFL4fz5TrOFRHRRVwAGRCj6OVwvlzHuSIiuohJ0E4YJQmaUfRyOF+u41wRkTeS+fvNO56BhQT6okm091bbrmycL9dxrojI7LgAItNiGrJ7GXF+rUVdC85eQHiQH5JMVNSViOzxbk+mxDRk9zLi/O44UoD5G7Jx8NQZ27b6EcHISEtAs7phVdInIqo6/BA0mQ7TkN3LiPN7vKjEYfEDAAdPncH8Ddk4XlSivU9EVLW4ACLTYRqyexlxfvcdK3JY/FgdPHUG+44Vae4REVU1LoDIdJiG7F5GnN+Cs84XZFaFZ3nOicyGCyAyHaYhu5cR5zcsyHn4o1WNIJ5zIrPhAohMh2nI7mXE+W1YJxT1I5x/+Lp+RDAa1mEkAJHZcAFEpsM0ZPcy4vzWDg1ARlqCwyLI+i0wfhWeyHyYBO2EUZKgyb2YhuxeRpxfaw5Q4dlS1AjyRUPmABF5FSZBE7mAacjuZcT5rR0awAUPEQHgW2BERERkQlW+AMrMzERiYiICAwORmpqKb775psL9S0pKMGrUKMTHxyMgIABJSUmYO3eu030XLVoEi8WCXr16uaHn5lV8rhS/5RXhp4N/Yk9eEYMDySleJ0RkZFX6FtjixYsxdOhQZGZmIi0tDW+//Ta6d++OnTt3on79+k6P6dOnD44ePYo5c+agYcOGOHbsGEpLHW+sf/zxB4YPH46OHTu6eximYsQSB2Q8vE6IyOiq9EPQ7dq1Q+vWrfHWW2/ZtqWkpKBXr16YOHGiw/6rV6/G/fffjwMHDiAiIuKKj1tWVobOnTujf//++Oabb5Cfn49ly5a53C9+CNq54nOl+HhLjtOU3/BgP9ybGlflH3KlqsfrhIiqiszf7yp7C+z8+fPYsmUL0tPT7banp6dj48aNTo9Zvnw52rRpg8mTJyM2NhaNGzfG8OHDcfasfbT+uHHjULt2bQwcONClvpSUlKCwsNDuhxwZscQBGQ+vEyLyBFX237ATJ06grKwMUVFRdtujoqKQl5fn9JgDBw7g22+/RWBgIJYuXYoTJ05g8ODBOHXqlO1zQBs2bMCcOXOwbds2l/syceJEjB07VnksZmHEEgdkPLxOiMgTVPmHoC0Wi92/hRAO26zKy8thsViwcOFCtG3bFj169MDUqVMxf/58nD17FkVFRXjooYcwe/ZsREZGutyHkSNHoqCgwPaTk5NzTWPyVkYscUDGw+uEiDxBld2JIiMj4ePj4/Bqz7FjxxxeFbKKiYlBbGwswsLCbNtSUlIghMChQ4dw+vRpZGdn4/bbb7f9vry8HADg6+uL3377DUlJSQ6PGxAQgIAAZoNcjbXEwZU+28ESEgTwOiEiz1BlrwD5+/sjNTUVWVlZdtuzsrLQoUMHp8ekpaXhyJEjKC4utm3bs2cPqlWrhnr16iE5ORm//PILtm3bZvu544470KVLF2zbtg1xcXFuHZO3M2KJAzIeXidE5Amq9FtgixcvRt++fTFz5ky0b98es2bNwuzZs7Fjxw7Ex8dj5MiROHz4MBYsWAAAKC4uRkpKCm644QaMHTsWJ06cwKBBg9C5c2fMnj3baRsZGRn8FlglM2KJAzIeXidEpJvHlMK47777cPLkSYwbNw65ublo3rw5Vq5cifj4eABAbm4uDh48aNs/JCQEWVlZePLJJ9GmTRvUqlULffr0wfjx46tqCKZkxBIHZDy8TojIyFgM1Qm+AkREROR5PCIHiIiIiKiqcAFEREREpsMFEBEREZkOF0BERERkOlwAERERkelwAURERESmwwUQERERmQ4XQERERGQ6XAARERGR6bAwjxPWcOzCwsIq7gkRERG5yvp325UiF1wAOVFUVAQArB5PRETkgYqKihAWFlbhPqwF5kR5eTmOHDmC0NBQWCyWK+5XWFiIuLg45OTksGbYVXCu5HC+XMe5ch3nynWcK9cZaa6EECgqKkLdunVRrVrFn/LhK0BOVKtWDfXq1XN5/xo1alT5SfcUnCs5nC/Xca5cx7lyHefKdUaZq6u98mPFD0ETERGR6XABRERERKbDBdA1CAgIwOjRoxEQEFDVXTE8zpUczpfrOFeu41y5jnPlOk+dK34ImoiIiEyHrwARERGR6XABRERERKbDBRARERGZDhdAREREZDpcAF0mMzMTiYmJCAwMRGpqKr755psK9y8pKcGoUaMQHx+PgIAAJCUlYe7cubbfz549Gx07dkTNmjVRs2ZNdO3aFT/88IO7h6FFZc/VpRYtWgSLxYJevXq5oef6uWOu8vPzMWTIEMTExCAwMBApKSlYuXKlO4ehhTvmavr06WjSpAmCgoIQFxeHYcOG4dy5c+4chhYyc5WRkQGLxeLw06xZM7v9Pv30UzRt2hQBAQFo2rQpli5d6u5haFHZc+XN93bAPdeWlWHu74JsFi1aJPz8/MTs2bPFzp07xdNPPy2qV68u/vjjjysec8cdd4h27dqJrKws8fvvv4vvv/9ebNiwwfb7Bx54QLz55pti69atYteuXaJ///4iLCxMHDp0SMeQ3MYdc2WVnZ0tYmNjRceOHcWdd97pxlHo4Y65KikpEW3atBE9evQQ3377rcjOzhbffPON2LZtm44huY075ur9998XAQEBYuHCheL3338XX3zxhYiJiRFDhw7VMSS3kZ2r/Px8kZuba/vJyckRERERYvTo0bZ9Nm7cKHx8fMSrr74qdu3aJV599VXh6+srvvvuO02jcg93zJW33tuFcM98WRnp/s4F0CXatm0rHnvsMbttycnJYsSIEU73X7VqlQgLCxMnT550uY3S0lIRGhoq3n333Wvqa1Vz11yVlpaKtLQ08c4774h+/fpV+ROkMrhjrt566y3RoEEDcf78+Urta1Vzx1wNGTJE3HTTTXbbnnnmGXHjjTdee4erkOxcXW7p0qXCYrGI7Oxs27Y+ffqIW2+91W6/bt26ifvvv//aO1yF3DFXl/OWe7sQ7psvo93f+RbY/5w/fx5btmxBenq63fb09HRs3LjR6THLly9HmzZtMHnyZMTGxqJx48YYPnw4zp49e8V2zpw5gwsXLiAiIqJS+6+TO+dq3LhxqF27NgYOHOi2/uvkrrlavnw52rdvjyFDhiAqKgrNmzfHq6++irKyMreOx53cNVc33ngjtmzZYnt74sCBA1i5ciVuu+029w3GzVTm6nJz5sxB165dER8fb9u2adMmh8fs1q2by49pRO6aq8t5w70dcO98Ge3+zmKo/3PixAmUlZUhKirKbntUVBTy8vKcHnPgwAF8++23CAwMxNKlS3HixAkMHjwYp06duuJnW0aMGIHY2Fh07dq10segi7vmasOGDZgzZw62bdvm7iFo4665OnDgANauXYsHH3wQK1euxN69ezFkyBCUlpbi5Zdfdvu43MFdc3X//ffj+PHjuPHGGyGEQGlpKR5//HGMGDHC7WNyF5W5ulRubi5WrVqFDz74wG57Xl6e8mMalbvm6nLecG8H3DdfRry/cwF0GYvFYvdvIYTDNqvy8nJYLBYsXLjQVn126tSp6N27N958800EBQXZ7T958mR8+OGHWLduHQIDA90zAI0qc65KS0vx0EMPYfbs2YiMjHR733Wr7OuqvLwcderUwaxZs+Dj44PU1FQcOXIEU6ZM8dgFkFVlz9W6deswYcIEZGZmol27dti3bx+efvppxMTE4KWXXnL7eNxJZq4uNX/+fISHhzv9EKrqYxqdO+bKytvu7UDlzldRUZEh7+9cAP1PZGQkfHx8HFa4x44dc1gJW8XExCA2NtZ24wWAlJQUCCFw6NAhNGrUyLb99ddfx6uvvoovv/wSLVu2dM8gNHHHXJ0+fRrZ2dm4/fbbbb8vLy8HAPj6+uK3335DUlKSG0bjXu66rmJiYuDn5wcfHx+7ffLy8nD+/Hn4+/u7Z0Bu5K65eumll9C3b18MGjQIANCiRQucPn0ajzzyCEaNGoVq1TzvkwAqc2UlhMDcuXPRt29fh+skOjpa6TGNzF1zZeVN93bAPfO1f/9+Q97fPe+Z7yb+/v5ITU1FVlaW3fasrCx06NDB6TFpaWk4cuQIiouLbdv27NmDatWqoV69erZtU6ZMwSuvvILVq1ejTZs27hmARu6Yq+TkZPzyyy/Ytm2b7eeOO+5Aly5dsG3bNsTFxbl1TO7irusqLS0N+/bts91ErPvExMR45OIHcN9cnTlzxmGR4+PjA3HxSyCVPAo9VObKav369di3b5/Tz2G0b9/e4THXrFlz1cc0MnfNFeB993bAPfNl2Pu77k9dG5n1q39z5swRO3fuFEOHDhXVq1e3fZJ9xIgRom/fvrb9i4qKRL169UTv3r3Fjh07xPr160WjRo3EoEGDbPtMmjRJ+Pv7i08++cTua4JFRUXax1eZ3DFXlzPCtwQqgzvm6uDBgyIkJEQ88cQT4rfffhMrVqwQderUEePHj9c+vsrkjrkaPXq0CA0NFR9++KE4cOCAWLNmjUhKShJ9+vTRPr7KJDtXVg899JBo166d08fcsGGD8PHxEa+99prYtWuXeO2117zqa/CVOVfeem8Xwj3zdTkj3N+5ALrMm2++KeLj44W/v79o3bq1WL9+ve13/fr1E507d7bbf9euXaJr164iKChI1KtXTzzzzDPizJkztt/Hx8cLAA4/zvIRPE1lz9XljPAEqSzumKuNGzeKdu3aiYCAANGgQQMxYcIEUVpaqmM4blXZc3XhwgUxZswYkZSUJAIDA0VcXJwYPHiw+PPPPzWNyH1k5yo/P18EBQWJWbNmXfExP/74Y9GkSRPh5+cnkpOTxaeffuqu7mtV2XPlzfd2IdxzbV3KCPd3ixAe+howERERkSJ+BoiIiIhMhwsgIiIiMh0ugIiIiMh0uAAiIiIi0+ECiIiIiEyHCyAiIiIyHS6AiIiIyHS4ACIiIiLT4QKIiDzasWPH8Oijj6J+/foICAhAdHQ0unXrhk2bNtn22bp1K+677z7ExMQgICAA8fHx6NmzJz7//HNbPbDs7GxYLBbbT2hoKJo1a4YhQ4Zg7969VTU8InITVoMnIo92zz334MKFC3j33XfRoEEDHD16FF999RVOnToFAPjss8/Qp08fdO3aFe+++y6SkpJw8uRJ/Pzzz3jxxRfRsWNHhIeH2x7vyy+/RLNmzXDmzBn88ssvmDFjBq677jp8/vnnuPnmm6tolERU2VgKg4g8Vn5+PmrWrIl169ahc+fODr8/ffo04uPj0alTJyxZssTpYwghYLFYkJ2djcTERGzduhWtWrWy/b68vBw333wzfv/9d+zfvx8+Pj7uGg4RacS3wIjIY4WEhCAkJATLli1DSUmJw+/XrFmDkydP4rnnnrviY1gslgrbqFatGp5++mn88ccf2LJlyzX3mYiMgQsgIvJYvr6+mD9/Pt59912Eh4cjLS0NL7zwAn7++WcAwJ49ewAATZo0sR3z448/2hZOISEhWLFixVXbSU5OBnDxc0JE5B24ACIij3bPPffgyJEjWL58Obp164Z169ahdevWmD9/vtP9W7ZsiW3btmHbtm04ffo0SktLr9qG9ZMCV3u1iIg8BxdAROTxAgMDccstt+Dll1/Gxo0bkZGRgdGjR6NRo0YAgN9++822b0BAABo2bIiGDRu6/Pi7du0CACQmJlZux4moynABRERep2nTpjh9+jTS09MRERGBSZMmKT9WeXk5/v3vfyMxMRHXX399JfaSiKoSvwZPRB7r5MmTuPfeezFgwAC0bNkSoaGh2Lx5MyZPnow777wTISEheOedd3Dffffhtttuw1NPPYVGjRqhuLgYq1evBgCHb3WdPHkSeXl5OHPmDH799VdMnz4dP/zwA/7zn//wG2BEXoRfgycij1VSUoIxY8ZgzZo12L9/Py5cuIC4uDjce++9eOGFFxAUFAQA2Lx5MyZNmoT//ve/OHXqFMLCwtCmTRv0798fffr0sfsavFVwcDDi4+PRpUsXDBs2TOotMyIyPi6AiIiIyHT4GSAiIiIyHS6AiIiIyHS4ACIiIiLT4QKIiIiITIcLICIiIjIdLoCIiIjIdLgAIiIiItPhAoiIiIhMhwsgIiIiMh0ugIiIiMh0uAAiIiIi0+ECiIiIiEzn/wPnqBiQzB8yWQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# highlight best perceptron diff\n", "sns.scatterplot(data=results_df, \n", " x = results_df.SGD,\n", " y = results_df.Perceptron,\n", " alpha=0.5)\n", "sorted_df = results_df.sort_values('diff', ascending=False)\n", "plt.scatter(sorted_df.SGD.iloc[0], sorted_df.Perceptron.iloc[0], c='red')\n", "plt.title('Perceptron vs SGD: same dataset, different random seeds')\n", "print(sorted_df.iloc[0,:])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SGD 0.733333\n", "Perceptron 0.656667\n", "diff -0.076667\n", "Name: 234, dtype: float64\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# highlight best sgd diff\n", "sns.scatterplot(data=results_df, \n", " x = results_df.SGD,\n", " y = results_df.Perceptron,\n", " alpha=0.5)\n", "sorted_df = results_df.sort_values('diff', ascending=True)\n", "plt.scatter(sorted_df.SGD.iloc[0], sorted_df.Perceptron.iloc[0], c='red')\n", "plt.title('Perceptron vs SGD: same dataset, different random seeds')\n", "print(sorted_df.iloc[0,:])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SGD 0.685633\n", "Perceptron 0.690090\n", "diff 0.004457\n", "dtype: float64" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results_df.mean(axis=0)" ] } ], "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 2 }