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@Aprillion
Last active May 23, 2021 13:51
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "b4570434",
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from IPython.core.interactiveshell import InteractiveShell\n",
"InteractiveShell.ast_node_interactivity = \"last_expr_or_assign\""
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "b7568f7e",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([1.00000000e-09, 1.45634848e-09, 2.12095089e-09, 3.08884360e-09,\n",
" 4.49843267e-09, 6.55128557e-09, 9.54095476e-09, 1.38949549e-08,\n",
" 2.02358965e-08, 2.94705170e-08, 4.29193426e-08, 6.25055193e-08,\n",
" 9.10298178e-08, 1.32571137e-07, 1.93069773e-07, 2.81176870e-07,\n",
" 4.09491506e-07, 5.96362332e-07, 8.68511374e-07, 1.26485522e-06,\n",
" 1.84206997e-06, 2.68269580e-06, 3.90693994e-06, 5.68986603e-06,\n",
" 8.28642773e-06, 1.20679264e-05, 1.75751062e-05, 2.55954792e-05,\n",
" 3.72759372e-05, 5.42867544e-05, 7.90604321e-05, 1.15139540e-04,\n",
" 1.67683294e-04, 2.44205309e-04, 3.55648031e-04, 5.17947468e-04,\n",
" 7.54312006e-04, 1.09854114e-03, 1.59985872e-03, 2.32995181e-03,\n",
" 3.39322177e-03, 4.94171336e-03, 7.19685673e-03, 1.04811313e-02,\n",
" 1.52641797e-02, 2.22299648e-02, 3.23745754e-02, 4.71486636e-02,\n",
" 6.86648845e-02, 1.00000000e-01])"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"simulation_repeats = 100\n",
"test_rounds = 1000\n",
"prod_rounds = 1_000_000\n",
"bots = np.geomspace(0.000000001, 0.1)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "6328db16",
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Wall time: 28.5 s\n"
]
},
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>probability of defection</th>\n",
" <th>defected during test</th>\n",
" <th>defected during prod</th>\n",
" <th>first defection in prod (index)</th>\n",
" <th>utility</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1.000000e-09</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>1100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1.000000e-09</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>1100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1.000000e-09</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>1100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1.000000e-09</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>1100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1.000000e-09</td>\n",
" <td>False</td>\n",
" <td>False</td>\n",
" <td>1100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4995</th>\n",
" <td>1.000000e-01</td>\n",
" <td>True</td>\n",
" <td>True</td>\n",
" <td>-100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4996</th>\n",
" <td>1.000000e-01</td>\n",
" <td>True</td>\n",
" <td>True</td>\n",
" <td>-100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4997</th>\n",
" <td>1.000000e-01</td>\n",
" <td>True</td>\n",
" <td>True</td>\n",
" <td>-100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4998</th>\n",
" <td>1.000000e-01</td>\n",
" <td>True</td>\n",
" <td>True</td>\n",
" <td>-100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4999</th>\n",
" <td>1.000000e-01</td>\n",
" <td>True</td>\n",
" <td>True</td>\n",
" <td>-100000</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>5000 rows × 5 columns</p>\n",
"</div>"
],
"text/plain": [
" probability of defection defected during test defected during prod \\\n",
"0 1.000000e-09 False False \n",
"1 1.000000e-09 False False \n",
"2 1.000000e-09 False False \n",
"3 1.000000e-09 False False \n",
"4 1.000000e-09 False False \n",
"... ... ... ... \n",
"4995 1.000000e-01 True True \n",
"4996 1.000000e-01 True True \n",
"4997 1.000000e-01 True True \n",
"4998 1.000000e-01 True True \n",
"4999 1.000000e-01 True True \n",
"\n",
" first defection in prod (index) utility \n",
"0 1100000 0 \n",
"1 1100000 0 \n",
"2 1100000 0 \n",
"3 1100000 0 \n",
"4 1100000 0 \n",
"... ... ... \n",
"4995 -100000 0 \n",
"4996 -100000 0 \n",
"4997 -100000 0 \n",
"4998 -100000 0 \n",
"4999 -100000 0 \n",
"\n",
"[5000 rows x 5 columns]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%time\n",
"test = np.random.rand(simulation_repeats, test_rounds)\n",
"prod = np.random.rand(simulation_repeats, prod_rounds)\n",
"\n",
"bots_repeated = np.repeat(bots, simulation_repeats)\n",
"defected_in_test = np.array([np.any(np.greater(b, test), axis=1) for b in bots])\n",
"defected_in_prod = np.array([np.any(np.greater(b, prod), axis=1) for b in bots])\n",
"first_defection_in_prod = np.array([np.argmax(np.greater(b, prod), axis=1) for b in bots])\n",
"utility = np.array([np.count_nonzero(np.greater(b, prod), axis=1) for b in bots])\n",
"\n",
"df = pd.DataFrame(\n",
" zip(bots_repeated,\n",
" defected_in_test.flatten(),\n",
" defected_in_prod.flatten(),\n",
" first_defection_in_prod.flatten(),\n",
" utility.flatten()),\n",
" columns=['probability of defection',\n",
" 'defected during test',\n",
" 'defected during prod',\n",
" 'first defection in prod (index)',\n",
" 'utility'])\n",
"# used for debugging:\n",
"# index = np.tile(np.arange(simulation_repeats), len(bots))\n",
"# df['value in prod'] = prod[index, df['first defection in prod']]\n",
"\n",
"df.loc[df['defected during test'] == True, 'first defection in prod (index)'] = -prod_rounds / 10\n",
"df.loc[df['defected during test'] == True, 'utility'] = 0\n",
"df.loc[df['defected during prod'] == False, 'first defection in prod (index)'] = prod_rounds * 1.1\n",
"expected_utility = df.groupby('probability of defection')['utility'].mean()\n",
"df"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "006fa726",
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.style.use(['classic', 'Solarize_Light2'])\n",
"plt.xscale('log')\n",
"\n",
"plt.title(f'Bot\\'s defection, each bot simulated {simulation_repeats}x:\\n'\n",
" f'if passing {test_rounds} tests, how long until it defects in production\\n'\n",
" f'(up to {prod_rounds:,})')\n",
"\n",
"plt.axhline(y=0, color='darkorange', linewidth=1)\n",
"plt.axhline(y=prod_rounds, color='darkorange', linewidth=1)\n",
"\n",
"plt.xlim([df['probability of defection'].min(),\n",
" df['probability of defection'].max()])\n",
"\n",
"plt.scatter(df['probability of defection'],\n",
" df['first defection in prod (index)'],\n",
" color='orange')\n",
"plt.ylabel('Time (iteration) of first defection in production\\n'\n",
" 'negative = stopped in test phase,\\n'\n",
" 'above max = not defected yet', color=\"darkorange\")\n",
"\n",
"ax2 = expected_utility.plot(secondary_y=True, color='g', xlabel=\"Bot's probability of defection\")\n",
"ax2.set_ylabel('Expected utility (number of apples collected)', color='g')\n",
"ax2.grid(False)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "b5e86748",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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