{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. 비지도 학습과 데이터 전처리\n", "\n", "### 3.1 Types of unsupervised learning\n", "- 비지도 변환 (Unsupervised Transform)\n", " - 차원 축소 (Dimensionality Reduction)\n", "- 군집 (Clustering)\n", "\n", "### 3.2 Chanllenges in unsupervised learning\n", "- 비지도 학습은 데이터 과학자가 데이터를 더 잘 이해하고 싶을 때 탐색적 분석 (EDA) 단게에 많이 활용\n", "- 비지도 학습의 전처리 단계에서도 많이 활용\n", "\n", "### 3.3 Preprocessing and Scaling\n", "- 신경망 및 SVM 같은 알고리즘은 데이터의 스케일에 민감\n", "- 특성마다 스케일 조정이 필요" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import sys \n", "sys.path.append('..')\n", "from preamble import *\n", "from sklearn.model_selection import train_test_split" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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R27u5eiL6bq6eiI3dXGsitndz9dWhvuOorzFv7OZaEfHXd3ONDfuI3ucLV6uC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\nT0YK\n", 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Zyi6CO0fEGzPzjHHvXI+qH7uPBV452qmUydXTI+JYYLfMfLiPdj4NvJOy62Gv5qNMDm0A\nfCQiXp+Z5/dx/YyUmRkRnwOOqR16ei8T0DPlvYiITSn/bjy+z0tXAfYC3hYRBwEfmYaT35IkSZIk\nqbsVGsruGc8GR0lKtGmPSYu6JvOKiIUpOwduSUlatNYodWVEXElJGPb1QXYXjIiPUhKVza00MzqO\nPwnYD9iB7nOz/46IwyiJk8b0HkTEusD+wMuARbqc8zfKXPFhmfnQWNqr6puK9/15wL6U+7BQQxUf\nA0YM2JvAeznh38VeVO/r7sD2lGDTBUc4PatF1j8GjsrMv/ZQ//zAFpTF1ZsBT2f4zhP1a64BTgC+\nlJm39vAyxk1EzKEsJH8TsAkjzCNHxLXAd4DP9tvv0ZITRsRWwP9Rfruaj+F2AY7up01JkqRJcBRw\nSMfzXekvYK8eUHZ8Zj40SEBZRKwGXFsr7po8t+O6nRkhGXVErAi8H9iZkgCjyR3V33+fbCsIKDNv\njojTgVd1FO9KSXQ8qohYEHhjrbinBMk91L0m8GrKuGBjRl9TdGdE/Izyd/Xv+mhnfkry8+fXDn0y\nMz/cR5eHxgE/BV5cO/SFzNy74ZKpOt5bkbIe5OWMPhZ7MCJ+RQmCPbaXBDzTPVF5RCwJvIOSlH59\nut+frPp9BPDNfvs9UlL5Krh3d8oOpE/vUsU5wHX9tClp+pgz2R2QJEmSJsErGD4I/w/w/TYbycwb\nKT9sN7Xft4jYF/gmkxOs90ngi4w+sdZpeeC0iBjo9bYtIpYDzmf0YL26N9P/D+Eb0l+AWN0qwFkR\n8aYx1DGTnEjJRlfXy2drprwXq9N/sF6n+SmLyn5YTWRLkiRJkqSZ4f6GsqbM79NCRLyLkl38FOAt\njB40BmWu92nAZ4G/R8SrW+7T2yk76O3MyHOzj6UEkF1eLVgcpK05EfEpSqb+19AlwKzyROALwIUR\n8cRB2utod0rd94hYICK+DPyKsrCuKVhvtDom+l5Oue9iROwJ/A04FHgBIwfrQXlPnwF8APhLRLxm\nlPp3oOxSeAZlkei6jBKsV3kSJdnh36vv16SIiC2ByyhJ/l7M6PPIqwPvA/5WfWfa6MPiEXEy5bek\nF9EcrCdJkjRdHA90Bro8IyKe1cuFEfFYSgKRTq0ElLWl+vv4KuBddA/Wg7Lz2LuBP0fEc1vsQv1+\nvKEKxOvF1pQ1PEP+DZw+ls5ExHIRcRFlV8GDKEFdvawpWgrYDvhtRPywSrw9qirJ9usou6J1+mBE\nvKT3ngPwIYYH6/0eeG+X86fUeC8iFq0SX/+NMn7rZSy2ICVByCHAvyJipVHa+DRll/TjKeumRgvW\ng7nJsb8BXBMRm/RwTeuieBfl/hxQ9Wmk+xPAs4CvUMbCW7TUjzWBi4DD6B6sJ2mGc5GeJEmSZqPN\nGsrOHqfMPj9leIBY0+5+o3kJJUvXkAcoGXbOBW4CHqYEFj0HWHyA+ruKiHdTJqvqHgR+XvXjX5Tx\nxSrASykZreZUZScCn2uzTwOYnxKQuU5H2cWUhQR/A+6g7Az4HErmr/rk6hsi4geZefIAbSflR//L\nKJO3twB3AY8AS1AWgzyb8rlYoOO6BYBvRMQVmXnRAO3OGFXWvF9QFtZ02qjfqhjf9+JqyuQ7wIqU\nRVqd/thDH0fNYla5ibLY6CpKpq27gHspE+ArUCb7tmR4prdXUHbK7DbRLEmSJEmSppebGsp2oCyO\nmo7WA5Ycw/XLACdHxAcz86CxdqYK+PpAn5etBvwyIp6VmTf00dYcSuKwfhNHPR34VbUb3aCmzH2P\niPmAkykLSgetYzLuZdN3ccOIeEJm/n2A+gZW7ar3TcrOcWOxxCjHn8q8i377tSjw5YhYJzPfOoZ6\n+hYR+wAHM1ii8yWAL0TE04E9q4XDg/RhMeAsStI5SZKkaS8zb42IU5n3d/1dKAEro9mJede0X5CZ\nl7XZv7GokmEcRm8JKoYsB/w8Ip6fmZe00I0fU8YdK1bPl6esR/peD9fuWnt+3KB/x3ZYgjKWHIut\ngd9HxBaZef1oJ2fmDRHxRuAnzH0v5gDHR8R6vYzBI2Jzaju9A7cDrx1hx/Wm8d5rImL/zHxktDbb\nFBGrAj9gbPd+IUZP6NJWcuzdMvO4MdTTl2o8fAxlbmwQTwDOiIi3ZebAc2sRsTbwS8q/A5JmMQP2\nJEmSNBut31D2h3Fq64KGssdExCq9TDZ1eC9zJ5u+B+ydmf9sOrGafGhFRKxFCe6pO4PyQ/R1Dcc+\nFRHPpCwIWJ8SQDjZwUGvYe5E0l+At2bm2Q3nHR4R7wOOowQedvoEZaFILx4FzqRk5j0zM5t2h5tH\nRCwP7A+8g7nv9UKUiSQzLcFvGB6w10s2vgl7LzJz9446Pkptkjczn9lDf0fyN0rWvFMz89LRTq4W\nN72OkuV8xY5D+0TEdzNzvP7dkyRJkiRJE+fXlB3ROr0oIt6ZmYeOU5udSYnWYN4M+vdQkhqNptfk\naX+u2ruKspPX3dW1S1Cyu69HSXbWuXtaUOYoL8vMgXcMiIj/x7zBerdQFgX+ofr/hSmvf1vKTnOd\nVgAOpyRP6tUXaA4w+y/wI0q2/5soycbWpCQeG9oNbkXK7nhX9tHeSCbtvgMfZ95gvduYe99vrtpc\nhbL7RnapYzLu5cXAfcx7T+YHjo2Il2XmPX3WN5CIWIAyf/+ChsOPUpKAnQX8A/gP5XO8HGXe8zmU\nILxB/Z1yH64Erqd8bu6j/EawEvBMyrx7PWHentXn5rAxtN2ziDiIslNe3W3Azyj36GZKgrSlKd/v\nLYEn187fjZIMcJ8Bu/J15g3W+xdlEfalVftLUhaLDhy8KkmSNAmOZN7f9V8fEftk5gOjXLdLQz1T\nxVbAl5m7duBOyhqEX1P+bptDSdzyCsrf1J0WA46KiGePNUAuMx+OiOOAfTuKd2WUgL1qJ7X6DnTj\ncX//Sxm3XQX8lXKf7qYEhi1DGWtsDjyldt2awEkRsWkv9ygzz6iS63QmHn8McGJEbD5SAF21k+MJ\nDN/Zepcu65+G/Lqh7MnAwRGxb2Z2G5u2qgrW+z3Dk0dDGXudD/yCsoPinZQx/IqUMfxGlHHZIKZF\novJqPHwm0LSz3zWUhPSXUsZ+D1OCXp8NvIzyGRoyP2X92E2ZeeoAXVmUMvfQGax3OWVu4xpKgOgK\nwFrA9gPUL2kaMWBPkiRJs0pELEiZKKtrCqxrwx+Bh5h3QgLKxE0/AXtDk0WHAu8aabInM+/vq4cj\n+yLzLjAA+C6w40iTXJl5SURsRlkYsFFDHRNtKFjvD8CWmdl1F7PMvCUiXkX5THTuyLd2lfnslz20\nt21m3tlPBzPzVmCviLiQkv15yDoR8ZLMPLOf+magpuCyx0XEwqN85mfKe/E94Jh+Jnqr7+i3IuJ8\nysTsqtWhAPYGXt96LyVJkiRJ0kT7McODhAC+FBEvBj7d43xWzzqTEkXEucCmHYcvyMzNxlI9JXHT\nUcBPekl6FhGLA+8BPsjcDPFBWRT5hMy8b8C+fKH670OU5E5faJqHioihxE9fYN7dul4eEc/NzN/2\n8Bo2r+qoOxZ4d2be3nDNeynBmp9h7s4Ga4/WVhdT6b4PBVI9Qkkmd3CXYLePNyWvm6x7mZn3R8Tp\nwHa1Qy8ALo+IA4ATJyBw7xCag/VOAT6YmX8e6eKIWAPYEXh7j+1dBhwB/Dgz/zrayRGxEOVef5J5\nd3X8fET8sJ9dKQcREdsyPFjvduD9wLHd5pojIoBtgK9RFlYOeU9E/CIzf9RnV1Zh7vzsfZTg4MO6\n7OixX5uJGiVJksbZGcANwMrV82Upf0ed1O2CiNiIef/+vh84cbw6OIDPU8Z6Wf3/JzPzjobzPhkR\n21PGHp1/vz2TMk74dgt9OZJ5A/ZeGhErZea/RrhmZ+YNUPttZl7VQl+gJLA4npL8+tcj7FD3P9X7\n/UVgg47ijYB3U5IR9+IjwMbAZh1lm1DGGR9ouqDaif0E5k12DHBIZv5wlPZ+TUlm87ha+XuA51QB\nhGeO52571VjqewwP1nuQcj8PbBrvdlwfwHOBN1M+E6OZjonKP8vwYL0rKetjftZtvU1ELAK8i5JA\naGh9X1AS8DwjM//RZz9ezdzv3HXAO7olNoqI/+uzbknTzJzRT5EkSZJmlJWZOynQaVx+BK6yhP2n\n4dDjB6ju95Sd9SYqM9MaDN9l7jpgp14mmTLzv5RMQHe337uB3AFsN1Kw3pDqfWvaFbB+P7pd31eA\nWO3aYxi+k9/uTefOMjd3KV9lpItmynuRmXcP+t2vJg/fVivePiLqmawlSZIkSdI0Uy2Y+nKXw68E\nzo+I6yPiyIjYIyKeERFTObHvuzNzo8z8Ri9BY1DmITPzY8DLKRnShzyG5l3WerUw8ACwVWYe1C2Q\nJ4tDgQ83HB51LqlaNPh1hs9bfzYzd+q24K5q93BKJvh7q+JBE6dNpfs+H2Vh4I6Zuf9IAW7192QK\n3MuPV32vWw34BnBrRPw4Ij4YES+MiKUHaKOriNiS4YF2CeyTma8ZLVgPIDOvzsxPVH3+6SinH5KZ\n62bmF3sJ1qvqf6D6vmxC2ZFhyEINfW9VRKxACUrt9Fdg3cz8+kiJ4arPyPcpi4rr35EDq8Wv/Rha\nvHkPJcngF0da3NxyokZJkqRxU60lObZWvOsol+1We35Kl4C4ybIw5e/qnTJzn5H6lpnfZfjrgZbW\nGWTmnyjJVobMB+w0ymXjtXvhv4CVMvOdmXleL8F6AJn5a8p4oD7e2KvX+Yrqc7YjZSe5Tu+LiK26\nXPYRYIta2e9o3n273t5DlGDAJs+nJFP6d0ScEBHviIgNqwC7Nn2MeYMcoeyit2VmvnekYD3435jm\nN5n5VspO3t3W4AzZNjNfmpnf6iVYr2rj1szci+GfuXUior7LY6si4qXAXrXiHwLrZeaZI623ycz7\nMvMgyvxG5+d4aboEgI5iaLz3Z2DjbsF6VdsP5xh335Q0tRmwJ0mSpNlm2S7lAwf19KCp7mUGqGff\n8czG1GAPhi9s+ED2kRm5yuJ1cKu9GtwX+8x6dCZQn3Rav8X+jKQ+gf38CWp3Kus26b1kl/K2zJT3\n4ifArR3P5weeM0l9kSRJkiRJ7dqfeRfs1a1MWSz1deAS4O6I+F1EfCkitouIenb2STPG5Es/Z+6u\neEPGuihy38w8q8dzP8PwxHC9JAB7ObBGrez8zNy36eS6LDso7t3LuSPUMdXu+yHVQtd+Teq9zMzL\ngJGy4y8MbAUcAPwcuD0iro6Ib1eLOtcdIPCrU1PQ6IGZ+bl+K8rM+zPzplHOGcvn5lLK7oydmhY2\nt+ldQGcSs3spi1t7ClIFyMx/Aq+rFT8V2HrAPr0/M38x4LWSJElTVT0g7EUR0ZjUOiIWA3YY5fqp\n4JDMPK6XEzPzBEpC7k6btrhrcv3+1IOj/iciNmXeMdK9jLDbYT8y88F+1g/Vrr2fEmh4b0fx44Ge\ng7qq8crrmTdpSgDHRcQ8iZ8j4oXAfrUqbgde22ugIfBVyg533SxHCSI8lBIIeHdEXBwRh0fEGyNi\n1R7bGSYilqU5OcsOmXlOv/Vl5s2Zee8o50y35Nj7155fCmyfmQ/2WkFm/owSGNlplwHnzR6mJCIa\nafdLSbOAAXuSJEmabbplxR3P7FxNdfebnfevk/CjbT2z1O3A9weo52iaswpPtG/0c3IVHHlhrfjJ\n7XVnRPVsxI8by+TdDNEtG9igWcN7NSPei8x8FLimVvzcyeiLJEmSJElqV7XQ7WXAqT1esjCwIfBO\n4LvAjRFxbkTs2uICwslST760XkQsOmBdfwO+0uvJ1SK/+sLHVapdvUayZ0PZO3ttt/JN4I99XtOm\nNu/73cBHB7x20u9lZn6RspDygR4veRLwWsqizj8C10XEARGxej/tRsQmwEa14isou0hMVcdTFpkO\nWSEi1hqPhiJiceBtteLPZebf+q0rM38F1AN5tx2gW9fQx78xkiRJ00VmXg2c31E0h+67wO0ALN7x\n/Drg7PHp2cDuZngQz2iOrz2fH1i3ne5wEmWn5iFrRkS3xMP13Q1Pzsy7Gs+cYJl5M8N32esrgXJm\nnk3Z6bzTcsBJQ7v1RcTjgG8xPGZi58z8ex9tJfBGypixFwsAzwTeAhwH/D0iLoiIvSJiqZEvHebt\nzPs9Afh6Zp7ZZz0TacKSY1ef//p4eO8+gjE7fZ7ynR+yECXxTr+Oy8yLB7hO0gxjwJ4kSZI0/rKh\nrN8suee20I+eVQtznlErPiuobqx4AAAgAElEQVQze11k8D+ZeQMw2ZMQ11T96Pu62vN+J80AiIiF\nIuKFEfF/EXFkRJwaEedFxIURcUn9AZzSUM20CxJrWbfxa9P3q6uZ9F5ExDoRsUtEHBIRp0TEz6vs\n+MNeR/Va1qlVMSVehyRJkiRJGrvMvAN4FfBm4Oo+Lw9gU+AI4M8R8YaWuzeR6smX5gc2GLCuI6sk\nSP2o76IAIyQBi4gFGJ447feZ2VfAWNXPvhKWtazN+35SZv6334um0r3MzMOA9YEfDHD5qpSd5/4c\nEV+MiKV7vK5ph7fPZ+bDA/RhQlQ7NtxcKx6vJGMvAur38ogx1Hd67fmmA9RxVLXoV5IkaSaq7wK3\nc5fdpOsBZUdPwb+RThogyK2vsWE/MvNuhu9eVr+PRMQSwHa14qm2e2F9LDnIeOATlB3MO20EfCoi\n5gNOAOo7pH0uM3/Ub0PVTuR7AK9gsHVQ6wNfBK6uAvd6jeOoj/cS+OwA7U+kiUyOXf+cX1sFc/at\n2jWyvmvhIOO9sYw3Jc0g8092ByRJkqQJdl+X8qUY/sNwW5p+UL+3zzouaqMjfVibku2prT5cTJl4\nmiz1iaBe3Vl73lfAXkSsAbyfMjk0ULBfh14XZsxU3V5/t+/0PGbKexERC1Gygu8CPHWM1c32z5Qk\nSZIkSTNKtajxuIg4EdgSeD3wcmDJPqpZFTg+Il4E7DlIAq82VYvrnkfJSv904HHAEtWj1/UOgy4I\nO2+Aa+oJwGDkuaj1KDsedmpKINWLU4AvD3jtPCb5vtcXxvVqSt3LzLwC2DYi1qbswvBaYI0+qlgA\n2At4WUS8KjOvHOX8zWrPHwK+3Ud7Y1YtwF6/ejwdWIXymVmS4b83DFm29ny8FnDWF1je0M9uGg2u\nrT1fLSKWroKnezXoZ12SJGk6+C7wJcrfg1B2ln4BHeOsanflzl23Ejh6gvrXj4kYG/brSObdtXD7\niNirlvxkR6Bz5/NrgF+02IdhImJlSrDcusBalNe8JLAIzYnNV6w973s8kJmPVomHLqGMXYfsAzyN\n4WOl3wIf6LedWpunR8SPKeOMNwDbAMv3UcXylMC9LSNixyqZSaOIWJIy3u30m2onywlTrVV5PiX5\n+zrAYyjv7eLAfA2XLNhQtirwj3HoXn289+sx1lcf79Xv/2juo3zOJMmAPUmSJM06t3cpX5qJDdjr\n1o9uxqtv3SzXUHbdGOqrT2ZMtNsGvO6h2vOex1ARsT8lE/JCA7Zd1+bk7XS0TJfyUTPZzZT3IiI2\nBo6h/JjRhtn+mZIkSZIkaUaqdtQ6DTitCrx6JmVR1QbAsyhZ/ZsWU3XaGVgM2GH8etpdRKxISb70\nOoZnwu/XoEmLBkkC1rTIbqQ5mKYkZxcO0C6ZeWNE3Mi8CxT7MkXu+6CJ46bUveyo60/AfsB+EbEK\nsAll14j1KN/NJUa4HEqQ33kRsUG3ALNq4WR9AeElmdlv4sCBRMRSwHuANwGrjbG68UoytnHt+TIR\ncckY6lu8oWx5oNeAvaQsKJYkSZqRMvOeiPgOsFtH8a7MG/xW3xXurDEmVRgvg4wNm9YxtPb7fGb+\nIiKuZm5SkMWB7YGjOk6r399x2+E5IrYD3kYJnOp117gmA40HMvPmiNgROIu58x0BvKx26m3AazOz\nvhZokDYTOBc4NyLeQkm4vAnwbMrcy9PonrhkyFbA6RGxRWY+2OWcDRk+h/OrQfvdr6meHLvaSXLd\nWvGLxzjeqweS9hOMCXBpZj4yhvYlzSAG7EmSJGm2uYHyQ2g9c9NKwF/abiwiFqQ5+O36PqsaNSip\nZU3BUV0zOvVgLNe2YcyTbf2IiK9QJiPbNNpE3kzXbYHQiN+lmfJeRMTmlIV2i452bh9m+2dKkiRJ\nkqQZr1ogdCEdgUsRsSjwHGBzyoK+tbtcvn1EvDMzDx33jnaoFrp9hv52BhzJoAvKBkkC1jQPOdIc\nzAoNZX8eoN0hf2LAILMpdN8HTV43Ze5lN5l5PXBi9Rjake4plEWd2wAvonkdz/LAyRGxYZcFtssz\nfAHnZW31eyQR8SrgcMYe4DlkvJKMrVJ7vihlZ4g2LQf0usvFfycqoFKSJGkSHcm8AXvbRcQ7MvPu\nKrnMmxvOn4r6Hhtm5oPlz/15tP37/FHAAR3Pd63KiIinUMb9Qx6lJAduVUSsBBwHbNFSlQOPBzLz\nvCqZ8wHdTgF2yszWd3irxmlXVI+vwf/Wi61P2eFvO0oQX5ONgQMpSVCaNI21Jmq8Nx2SYz+O4UGi\nK9A8RzCopnV/I5nopPySprCxRLFLkiRJ005mPgA0ZeTaYJyaXJfmSbd+Fwo83EJf+tE02dItm1Mv\nHhjDtdNKRLyR5gCx24AjKJOkm1AyDS8DLJKZ0fkAVp+o/k4jGzaU3VB9pxvNlPciIpYGTmJ4sN6j\nwJnAB4AtKRnalqdkz5uv4bWchyRJkiRJmvUy897MPCcz98/Mp1DmFa7ocvp+VYDfhIiI91KCf9oK\nGoMBF0W2kXG/B03Z5Sc8cdpUuu8MnrxuStzLfmRxZWYenplbAU9k3h0xOm0AvKbLsWUbym5vo48j\nqXaw+B7tBevB+CUZa7pHbVukj3MnOkmjJEnShMvMX1MSYQxZlLKbN5SdxToTZNwBfH+CutavCU0Q\n3YdjgM5dvJ4fEWtW/79b7dwzqwQirYmIlSk7zLUVrAdj34joQOBnXY59LjNPG2P9PcvMBzPzN5l5\nYGauT9lp/ZddTn97tSN7k8ka730F+BjtBevB+Iz3+g2mG8TCfZ7veE/S/xiwJ0mSpNnoooayZ49T\nW0313pqZ/xyn9trStBhhiTHU1+ZCjykrIhYAPt1w6CBglczcPTOPysxfZubfM/OOzLy/4fx+ftif\nLZ7XUNb0XQZm3HvxIeAxtbILgLUz86WZeVBmnlEt7vlPZt6TmY821DMVXoskSZIkSZpiMvMMyjzm\nTxoOrwBsPRH9iIjnAwc3HLoHOIGSmGkzYA1K8qVFgTkNSYumk6Y513vGUF/f1061+56Zgyavm/R7\nOVaZ+c/M3BXYhbL7Q93uXS5tmn//b2sdaxART6IEF9Z39nuIstB6b8qOgU+mLDBdjObPTVOCxbb7\nuijtLjJtw0QnaZQkSZos9YQUu1T/3bVWfkKX3+vVRWbeQEnw22mXaq3Em2rl47F74dHAmg3ll1AC\n57al7Cq3ImXMsmDDeOBjLfdpcUrC5iYXttxWXzLzd5Sx9RENhxcC3tjl0skY702n5NjLTFA7/XC8\nJ+l/xhqJLkmSJE1H5wKvrpVtERELZuZYdpFr8tKGsnNabmM8NGVjGktWoonIaDQVbMq8WeAADs3M\nD/RZz0Rk+502ImIh4PkNh341wmUz6b14Xe35P4EXZWa/Wb6nwmuRJEmSJElTUGbeFxGvA64Blq8d\nfiHw7QnoxiENZUcDe2fmHb1UEBH9Zj2fbHc3lC3G4NnYFxvgmply36fCvWxFZh4dEc8D3lI7tEmX\n3zGaXuPi49O7/zmI4UFwPwV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koMGlQSBxzQLukYAAAAQI5S2AMAAAAAgEY4++z946qrXo3N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\nNk455ZSYPfv/TjDp1q1b/OEPf4jhw4dnmGzXD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szsbgom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\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eeCH/uFKlSpx33nlZi1NE9gxbtmxh4sSJMW167hCRdJx//vmMGjWKHTuCv4FNnDiRb775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\n7alYsWJJhyoiIiK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_scaling()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.3.1 여러 가지 전처리 방법" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- StandardScaler\n", " - 각 특성의 평균을 0, 분산을 1 로 변경하여 모든 특성을 같은 크기를 갖음\n", " - 최솟값과 최댓값의 크기를 제한 하지 않는다.\n", " \n", "- RobustScaler\n", " - 평균과 분산 대신 중간값, 사분위 값을 사용\n", " - 때문에 이상치 데이터에 대해 영향을 덜 받음\n", "\n", "- MinMaxScaler\n", " - 모든 특성이 0과 1 사이에 위치하도록 조정\n", " \n", "- Normalizer\n", " - 특성 백터의 유클리디안 길이가 1 이 되도록 데이터 포인트를 조정\n", " - 각도 혹은 방향의 특성만을 이용\n", " - 지름이 1인 원에 데이터 포인트를 투영\n", " - 각 데이터 포인트가 다른 비율로 스케일 조정" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }