Challenge

Project 2

{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.cluster import AgglomerativeClustering\n",
"from sklearn.preprocessing import StandardScaler\n",
"from scipy.cluster.hierarchy import dendrogram, linkage, fcluster"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['country', 'child_mort', 'exports', 'health', 'imports', 'income', 'inflation', 'life_expec', 'total_fer', 'gdpp']\n",
"[7, 8, 11, 15, 23, 29, 44, 53, 54, 58, 60, 68, 73, 74, 75, 77, 82, 89, 91, 98, 110, 111, 114, 115, 122, 123, 128, 133, 139, 144, 145, 157, 158, 159]\n",
"0 133\n",
"1 34\n",
"Name: anomaly, dtype: int64\n"
]
},
{
"data": {
"image/png": 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iIjmhQBcRyQkFuohITijQRURyQoEuIpITCnQRkZxQoIuI5MSwgW5m3zazJ83szqrHPmtmj5tZb/p33PgWU0REhtPMDP07wLF1Hj/P3bvSv1+1tlgiIjJSwwa6u/8OeHoCyiIiImMwlnvop5rZ7emWzKxGC5nZIjNbaWYrt2zZMobdiYjIUEYb6N8A9gW6gHXAlxst6O5L3H2huy+cPn36KHcnIiLDGVWgu3vR3Svu3gdcABzW2mKJiMhIjSrQzWxO1a8nAHc2WlZERCbGtOEWMLPvA93AbDN7DDgb6DazLsCBh4BTxrGMIiLShGED3d1PrPPwheNQFhERGQN9UlREJCcU6CIiOaFAFxHJCQW6iEhOKNBFRHJCgS4ikhMKdBGRnFCgi4jkhAJdRCQnFOgiIjmhQBcRyQkFuohITijQRURyQoEuIpITCnQRkZxQoIuI5IQCXUQkJxToIiI5oUAXEckJBbqISE4o0EVEckKBLiKSE8MGupl928yeNLM7qx7bxcyuNLP7089Z41tMEREZTjMz9O8Ax9Y8dgZwlbvvB1yVfhcRkUk0bKC7+++Ap2sefjdwUfr/RcDxLS6XiIiM0GjvoXe6+zqA9POljRY0s0VmttLMVm7ZsmWUuxMRkeGM+4ui7r7E3Re6+8Lp06eP9+5ERP5kjTbQi2Y2ByD9fLJ1RRIRkdEYbaD/DDg5/f9k4KetKY6IiIxWM29b/D5wI7C/mT1mZh8GvgAcY2b3A8ek30VEZBJNG24Bdz+xwVNvbnFZRERkDPRJURGRnFCgi4jkhAJdRCQnFOgiIjmhQBcRyQkFuohITijQRURyQoEuIpITCnQRkZxQoIuI5IQCXUQkJxToIiI5oUAXEckJBbqISE4o0EVEckKBLiKSEwp0EZGcUKCLiOSEAl1EJCcU6CIiOaFAFxHJCQW6iEhOKNBFRHJi2lhWNrOHgI1ABXjR3Re2olAiIjJyYwr05Gh3/0MLtiMiImOgWy4iIjkx1kB34DdmtsrMFtVbwMwWmdlKM1u5ZcuWMe5OREQaGestl9e7+1ozeylwpZnd4+6/q17A3ZcASwBm7D3Dx7g/ERFpYEwzdHdfm34+CfwEOKwVhRIRkZEbdaCb2Y5mNiP7P/BW4M5WFUxEREZmLLdcOoGfmFm2naXufnlLSiUiIiM26kB39weBg1tYFhERGQO9bVFEJCcU6CIiOaFAFxHJCQW6iEhOKNBFRHJCgS4ikhMKdBGRnFCgi4jkhAJdRCQnFOgiIjmhQBcRyQkFuohITijQRURyQoEuIpITCnQRkZxQoIuI5IQCXUQkJxToIiI5oUAXEckJBbqISE4o0EVEckKBLiKSEwp0EZGcGFOgm9mxZnavmT1gZme0qlAiIjJyow50M2sHzgfeBhwInGhmB7aqYCIiMjJjmaEfBjzg7g+6exn4AfDu1hRLRERGatoY1t0DeLTq98eAw2sXMrNFwKL0a+maD11z71bLjKEQ27TXvGaySzAu8nlUOdbKAajGHy97NbPQWAK9XjfwrR5wXwIsGcN+RESkCWO55fIYMK/q9z2BtWMrjoiIjNZYAv0WYD8z29vMCsBfAT9rTbFERGSkRn3Lxd1fNLNTgSuAduDb7n5Xy0omIiIjYu5b3fYWEZFtkD4pKiKSEwp0EZGcUKCLiOTEWN6Hnjtm9imgBHQAm939/9Q8/03gp8AV7l4Zx3J8EHhp+rXo7heN176kNczsz4k3B0B8wG6Du3+lyXU/QnzyGqJ/7Zj+/3rgenf/YSvLOlHM7CTi8yozgU3u/q1JLtKUYWYnEm/1/gbwOuApIo+PB+529/8czXYnJdDNbCdgozd4Rbb6eTM7GbjM3Tea2ceAlwCbgO2BF9LvexCD4Engj8B/uPuzZtbh7qW0zZ2BStrOPxEdLdvOdsBm4C+JgXikmZ1dVZ7F6b9HAGXgXDP7PbAaeI4YeKuAr6f9dqdyvTGV53x331h7fMAuwNNZPZjZrsDTQKe7n5vtu2Z7ReBCUtu5+7MN6nBnoEKEzIXAb4BL3f0PZnYJcHX2e9U6Hel4XgPcl5XZzLIPkfU/bmbvA3ZPx3AB8Dp3v7ROOazq+Aa1u5nNAt4C3AM8DExPx/+DVL5ZqW3qbr+2P7j7F6ueOxn4aXX9VPeHmu1k7THH3ddm7TBE/+xw95KZfZ/oA0b0jZuADcDngTOrlt/R3Z+r+j3rT68Hrgd2Ak4BTgf2BwrAHcCzwE1V/QLgYOCDxGc+ssDvP+4Gx3UqVe0EXMnA+PooMQaysfB7d/9Rg+39ALiVeEdbdb/ZGer2xd2BXd39DDP7vJnNqOpT0919i5lNBz5BhP751LSzmc2u3lfV4+8ixmL/mEhtMqjtUp/+M+BFd78zHW9WF5cBS4GlNcezmOh7/wacA9zL4IwpAl9n67ZYBZwHHELVeHX3r9WUfWfgVcD/BhYT7V0EOtz9TDP7TFrufY3aopEJeZeLmWWzzS8SlfssMAd4ApgN9Kbf9yBCaEfgGSJk5wEzgJuBNcC69PzRxHvhXwbcB7wB+C2wgKjMdqJR1qRlPO3jMWJw7AZcR4TUrmlb04kZ0qnEyaJAdMpNwFXAzu7+UTP7OPAj4HPEbavZwKXAu4iOeS8wF7iNaNRniIF7UDr+R9P+NxOd6zepjKTH16fjfiQt++ZULzek49uLGPCFVPY1QBbgnrbRnsqyOh3XQ8ChaZ2NwAPAMakNfp/K/DdpWxuBA9I6uxAhvznt94VUH3sBl6djPJ0IsjLwKyKc70/rvgvYIR33LKLt+4CfE7ORPdP/DyCCcQdgZWrnw4m+cRTRB/6buHraJR3fk+kYvwqclNrywVQPncRJb12qw3uJPrMiHftbiS+VqwBbUr11pHIfSPQRS8dzI3AXcBawd6rPFalu905tPTPVS1eqrxtSeV4CvJiO/epUf08TA3o3IlwPBV5JhOUMIhgOT231G+CEdMx3pnXLwPy0rWXAx9Jj69I6exKeJPrmTamdFqVjvJvo1z8nAv4A4P8R/awPOJkIsu5UH3NTu20kTrBziQC6kujfl6V2fnUqwwHAtWmZp1IdH5TqedfUHnsQff4Bok9fl8o+D/h1qsODiCuXZ4j+/kD6fXOqz52B5Wn93VNZ24m+Ni0d86FEHzIieNur2mn/VNcvpO09lOpjE/BN4P3EyfbS1L5vSG14DPB8OrY1qS1emrazW/q3zt3faGa/JfrPNGCftJ2nUjs+kdrtxNReN6VtrUvlfCXR/mV3/yxNmKh76N8EjiU6ZSdwO3FQvyVCK+vwl6flzyQ69yrge0TYXk90pD8nBt/ngHcSIX0r8AsiDH4PXELcOikTjXgDMQAfITrkj9Lj84nZ4Z3puROJWco1wONER7gqlWMG8B4z+2viS8i6UrlvSWVeRoTGDcQAnEUM5v8gOtiCdPy7E4HdQTTcDWlbhxKdbnvizL2K6Fg7EjOX54gGf5oYEKcTnfwZolO1p2PITij3AH9Ij32PGKhXE8F7K7AvEZCXECe5hUQYZjPl9aleriI6ZPZJ4FIq15dSnZySyvHttM8dgL8F/j61434MtPt/ESH4EDEoVqR975jKvSa18ywioG9K5XAiDJ5L7f2TtN4qIjTOSft9P3Fyn5GO9bK0THZ8e6R9nEzMorL+9hVigBbTMS8nTirZ8Xye+PqKMhEi2XZmpu08Q/SFf051dWOq5+kM9M9fEjO6Q4mBvxcRYG8EfpyO9UFgmbv/W2qbO9O+sn6yJwO3ZvYiAukE4gN904l27yD6ZCGV/2aiT32E6CMvpOPsTcf9OPAdot2zCdSx6TjLwMWpfXrTcdyfju0/0/o7EX3/jtRGxxBjezbwSSJjtiP6wmqi/1xKnChvSse5far/64FH3P3TwF8Q4fp/ifauEKF4BzGGHkmPzSfGxNpUX8+n8txE9NNHiSvUeaks96S6WZWOpZTa6I/AacSYeYwYH7cTJ8UnU30/lNqwmOri+VSm2aludyT66x3ABjP7GnFl8Gni5NSW6uDJVHc7EH31SCKT7k/buzRt+1Z3PzO1WVMmaoae3SM8gBicbcRl9c+JM9sW4OVEJe8DnEGcXV9JdOIriY63A/DltF6F6ICPEQ2/jhhIxwFfICr1XcRA2kyE8DSiAT8JPOzux5jZucSg+X4qY9b4RgyUK4iB0uXux6fLoQ1Eh/lM2v/sdKhdRICX03Hulbb9L6l8uxCN/jYinD5OnOzOJy69ZhKN9wJx9l6RtvU+YtbyCWIAHUYM8I70b1M6ruyK51giPE8nZreLiJPnEak+b0/H9yngA6lujyBmIOcRs6hbgX8kOtaRxADekuryEuJkuokIyqvSPpzosEVigLwkHedxRODdQwx2Izr0p4ggWkIEXUdqh9OIAf+vxGA/g7h6mEWE5/4MDKbHUrkuSfW/DzGIFxMnsYtTGSrE5e83zewfU5mKxMx7eVrmbxjoJ/8M3OzuD5jZXu7+MICZvRz4p1S/h6V6L6RjOgn4X6nOb0vt/RMinEhtdy/wplQXL6Z6PJc4Ae3k7o+m/SxMZexL7TKT6NO3E1cQi4n+aUR/fTCVaX+if24mQm4F8I5Uz7NT/c4ngumJVObsNsLrgA+5+41mtg/wP4iA2jvtd+e0/YeJPnFdaudHiFnpXKK/nkSc8G5O+7DUhlcDt6Q2mEX0swpx5X4+cTKY5e5/b2YziSuqG1LZ5xJXEJ9OdVoG1rr7p9IYzm5/vpLod+9IZb+FCM2ziSuM76W2eR1xMl5B9Lt/JyZelxMnuK8S/WlhWuYpIk8+AHyI6JsnpudfIMbxd4mxsJjojw8R4/3qdHz3A79jYHa+LC23HLiIgXvoNxF9seLuHzOzV7r7nTRhogL9LHf/nJldQQTkUUSov0B01A8SFTyX6CiXEJ3gZUSFXQB8mGio64iz4YlExb2RqJBr3b3PzF7t7rene7z7EA28NzGQ9iHOwDel/dxIdNDZRKjd7+7nmdkniEY2YrAuBLa4+zvN7DjiBZ5lZnY0MZs/nejYBSIQ/p0It7nESeh5IphWEJ32iFSO7AT0NDFYbiNmQtl91MvTMX84HfeODFz2vZcY0NOIy/PtiKuUdxAD+wSiEy0gBvAtaR+XE7PqJ4lwPCgd33fSsluIk9BmYjAdSATp6tRW97r7183sPcRJak9iFn4P0dF3Imacb0/b2Im4jfWXxP3KdxAd/YH0/LuIgQZxWT8t/bsv1cvRqf6eT/U5lxg473X3w83swlS+m4iA3ULM1FYTtyJKxMzv7el4dyBC8lrilkKFmKHdk7Z9XdpXOW3rSOCHxOA+LC3fS/SZjxEzz+eJsM0mBCcwcMKfRgR3gZiYvCWV4WdEf3gFEcjF1IYwcG99C9F3i2k7hxB98ili8jOdGAffTe342tQmVxN97DyivxnRd/YkQvb9RPtfA7wzvWb0BuLk8ihxIqoQ4bKRuNJ5WyrP86lNL0x1kt2T35SWOZ+4wrw+BfPZxCz1c+mP4BzOwFVpdkWwC3Fivp7Ihb5UxnuI0J+Wtt/m7u+omlTtm8r2BqKflIgx/jjRz6v73Pq0vzbiBJRd/S4jcuTp1K5HpHo+LP3/HcQV52uJ/vEH4sTyKqK/VoDH3f0zZvZd4oT5QWLC+jJi/G4gxv+BqQ2MyL7rUpluIm4BGpFjy9K9/l2JyU7d16fqmahAfzcxI3ia6MDPEaGcvbL7AWKwPUsc4I1ER76C6ET/kwjU483sLOIe4Baigje5+8VpP78mGuhviYq+jajU54jB833ga8SA/yExg15HzL77X7hI98ifIjrzFqJznOPuZzU4vgOJWdixDJxk9iZCyYgO0JaOdU9iwH+NGOS3pzJMIzroC8DfEbcR+gDc/dPpuLPZ3uHEYNybuPy8jJhpHkV06GI69k8S9/0PSevf6e4/NbO2tP070r7/moH7+qW07TOJ0LiXGNhvT8dyFtG5lzHwYuC3U/tuSGV+KxHqz6Vj3UgEwTxicJ9oZp8m+sA5qZxvITr44cSVyEfc/fRUv0e5+zWpnv+OOEFdQ5xEs/uW5u5fStu9PZVnNXGL7lXpsYeIgPsGEca/Jvrke1IbbyH6IsQtl1cQ/bGDOBlemtpxFyLorwd+mGa0bwAWpgnB0WlC6+X8AAADe0lEQVRQfpaYyb0u9YF7iJPfH939a2Z2Tk37Zq8RdaXn/yKV6W3ELasngG+ldjuLgdsc3am9HyZOVL8kxsjBwJ7uvn/a/gupzW4B3uju52QToHTMmNmZxBXub1L7vTf1hQOBnrT+xe7ek/rRb1LdZX38wdT++6UJ1nuIE9rBqf5OTf8+RYTmlennzemY/yrVweK03f1SudelOt+BuPK4j+h7WdnvSmXIroqeJ+7pH0L0xflpP6cRt58uIsbSrkQWFFIfOzPV39uAvd39FKpkbUac8A8j+u5H0r6WEWPySHd/VVo+y4aDiavSvVI7HpyO92h3X5aWbXP3vpp2WFyvHI1Mykf/zewgd7/LzI4iBstjRAjeDhyQLsk+mu4lZieEkrtflc32G2z3YHe/zcwOBl6btnM20WiPu/u5teub2SuIAfe4u18xxuM6yt2vSf//KHB1Os6DiSCfBnS7+yfSAPuv6npw91+O5rgblSOt/5b0Qm7d9auPn5ihvI+Y+ZXd/fy0zH7ElQREYP/O3W9Lz53i7t+s2eag5auO5yBP3/djZm8nBuVxxElpLTGwPpse799/E8c7aLvu/st6z5vZQcD8VM9vTz9fQYT+fsRVQxm4LvWjo4jbhE8QJ5wfE4P1c9XtNES5tqqHmvp+CTXtO1R/bFSvdfabjYN3U6e/Naqn9HjWd/YjXju4lmjzy+vtu6pus5PHL+v1iTrHMIMIuRsYeEHycXe/oqZNniVux15Hnb5HtE1Wh18lMqS/7hrsr2Hfqh3DtXWcjUliUvgt4mqov89k5Wp0/On5YTNnuHI03PYkBXr2dq8eIjy21Py8GDjC3d9ds7xVPz5R2x3FcWUz1+cblOfiBs+3pHx16mHQdpso76D9peV602oNl6vZbv/yjY4nbaeXuG3QsJ1GcLxDlWer+qBB/dd5fMh+NEy5GtbbcL83W69D1Eej42rYn4ZZd6g2HbKv1TmGum1O82Om0RirN4aq99dM+cbSl5rNqJYstxV3n/B/wFHZT+JSZdDP9Nyra5evfXyitjvS48q216g8jZ5vVfmG2+5w5R2uHMOVa6TbGa6dRlrvzdZHs4+PtnzD1Vur6nWkxzvU+iNdt9m+1mj5Zut+uDprtP/Rlm+0fWms2x/pcrX/9G2LIiI5oe9yERHJCQW6iEhOKNBFRHJCgS4ikhP/H6RUrccFGTGRAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"data = pd.read_csv('Country-data.csv', index_col=False, na_values=[\"?\"])\n",
"df1 = pd.read_csv('Country-data.csv', index_col=False, na_values=[\"?\"])\n",
"df = df1.copy()\n",
"\n",
"# Collecting features\n",
"features = list(df.columns)\n",
"print(features)\n",
"\n",
"X1 = df[features]\n",
"\n",
"# Data Preprocessing\n",
"X = pd.get_dummies(X1)\n",
"X = StandardScaler().fit_transform(X)\n",
"\n",
"dendrogram = dendrogram(linkage(X,method='ward'))\n",
"clf = AgglomerativeClustering(n_clusters=2, affinity='euclidean', linkage='ward')\n",
"clf.fit(X)\n",
"labels = clf.labels_\n",
"\n",
"data['anomaly'] = labels\n",
"outliers = data.loc[data['anomaly']==1]\n",
"outliers_index = list(outliers.index)\n",
"print(outliers_index)\n",
"\n",
"# Find the number of anomalies and normal points here points calssified -1 are\n",
"# anomalous\n",
"\n",
"print(data['anomaly'].value_counts())\n",
"\n",
"#import matplitlib.pyplot as plt\n",
"\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.preprocessing import StandardScaler\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"pca = PCA(n_components=3) # Reduce to K=3 dimensions\n",
"scaler = StandardScaler()\n",
"\n",
"# Normalize the matrix\n",
"\n",
"X = scaler.fit_transform(X)\n",
"X_reduce = pca.fit_transform(X)\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection = '3d')\n",
"\n",
"ax.scatter(X_reduce[:,0], X_reduce[:,1], zs = X_reduce[:,2], s=4, lw=1, \n",
" label=\"inlines\", c=\"green\")\n",
"ax.scatter(X_reduce[outliers_index,0], X_reduce[outliers_index,1],X_reduce[outliers_index,2],\n",
" lw=2, s=60, marker=\"x\", c=\"red\", label=\"outliers\")\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"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": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}

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