03.3.3-QuantileTransformer-PowerTransformer.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 03.3.3 QuantileTransformer와 PowerTransformer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*아래 링크를 통해 이 노트북을 주피터 노트북 뷰어(nbviewer.org)로 보거나 구글 코랩(colab.research.google.com)에서 실행할 수 있습니다.*\n",
    "\n",
    "<table class=\"tfo-notebook-buttons\" align=\"left\">\n",
    "  <td>\n",
    "    <a target=\"_blank\" href=\"https://nbviewer.org/github/rickiepark/intro_ml_with_python_2nd_revised/blob/main/03.3.3-QuantileTransformer-PowerTransformer.ipynb\"><img src=\"https://jupyter.org/assets/share.png\" width=\"60\" />주피터 노트북 뷰어로 보기</a>\n",
    "  </td>\n",
    "  <td>\n",
    "    <a target=\"_blank\" href=\"https://colab.research.google.com/github/rickiepark/intro_ml_with_python_2nd_revised/blob/main/03.3.3-QuantileTransformer-PowerTransformer.ipynb\"><img src=\"https://www.tensorflow.org/images/colab_logo_32px.png\" />구글 코랩(Colab)에서 실행하기</a>\n",
    "  </td>\n",
    "</table>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 노트북이 코랩에서 실행 중인지 체크합니다.\n",
    "import os\n",
    "import sys\n",
    "if 'google.colab' in sys.modules:\n",
    "    # 사이킷런 최신 버전을 설치합니다.\n",
    "    !pip install -q --upgrade scikit-learn\n",
    "    # mglearn을 다운받고 압축을 풉니다.\n",
    "    !wget -q -O mglearn.tar.gz https://bit.ly/mglearn-tar-gz\n",
    "    !tar -xzf mglearn.tar.gz\n",
    "\n",
    "import sklearn\n",
    "from preamble import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.preprocessing import QuantileTransformer, StandardScaler, PowerTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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welxIuu+UzSEcy/9QgSxl3XIKJUFb0HfsEd8PHa6CK4JhsGsug+1lMtT/+ocWXO9992LHLoAWrOe+wQ4AqKcTtAXIGdruNiloAFW6i0nCo/J6bnaibKNV6fkcADMOMHLAiCVbHb7R3gCWfV3oRY2K/StAUVlA/MjVdsHeMclIcBbmBo69cDzFmXBLOMYCQIq94hh68CXY5i9Xroia8Al1umQvvMKe2ubnQpMId60ADl5kw62ro6iW7ek8gvZnRXJGjNSLODohklrSOYLi0qAeWuNcN7HibSOxuVff7h/hnC9c9usXS+yExAplbmRzdHJlYW0KZW5kb2JqCjI0IDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggNzIgPj4Kc3RyZWFtCnicMzK3UDBQsDQBEoYWJgrmZgYKKYZcQL6piblCLhdIDMTKAbMMgLQlnIKIZ4CYIG0QxSAWRLGZiRlEHZwBkcvgSgMAJdsWyQplbmRzdHJlYW0KZW5kb2JqCjI1IDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggNDcgPj4Kc3RyZWFtCnicMzK3UDBQsDQBEoYWJgrmZgYKKYZclhBWLhdMLAfMAtGWcAoinsGVBgC5Zw0nCmVuZHN0cmVhbQplbmRvYmoKMjYgMCBvYmoKPDwgL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCAxNjMgPj4Kc3RyZWFtCnicRZA7EgMhDEN7TqEj+CMDPs9mMik2929j2GxSwNNYIIO7E4LU2oKJ6IKHtiXdBe+tBGdj/Ok2bjUS5AR1gFak42iUUn25xWmVdPFoNnMrC60THWYOepSjGaAQOhXe7aLkcqbuzvlDcPVf9b9i3TmbiYHJyh0IzepT3Pk2O6K6usn+pMfcrNd+K+xVYWlZS8sJt527ZkAJ3FM52qs9Px8KOvYKZW5kc3RyZWFtCmVuZG9iagoyNyAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDgzID4+CnN0cmVhbQp4nEWMuw3AMAhEe6ZgBH4m9j5RlMLevw0QJW64J909XB0JmSluM8NDBp4MLIZdcYH0ljALXEdQjp3so2HVvuoEjfWmUvPvD5Se7KzihusBAkIaZgplbmRzdHJlYW0KZW5kb2JqCjI4IDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggMTYwID4+CnN0cmVhbQp4nEWQORIDMQgEc72CJ0hcgvesy7XB+v+pB9ZHoukCNBy6Fk3KehRoPumxRqG60GvoLEqSRMEWkh1Qp2OIOyhITEhjkki2HoMjmlizXZiZVCqzUuG0acXCv9la1chEjXCN/InpBlT8T+pclPBNg6+SMfoYVLw7g4xJ+F5F3Fox7f5EMLEZ9glvRSYFhImxqdm+z2CGzPcK1zjH8w1MgjfrCmVuZHN0cmVhbQplbmRvYmoKMjkgMCBvYmoKPDwgL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCAzMjAgPj4Kc3RyZWFtCnicNVJLbgUxCNvPKbhApfBPzvOqqou++29rE70VTDBg4ykvWdJLvtQl26XD5Fsf9yWxQt6P7ZrMUsX3FrMUzy2vR88Rty0KBFETPViZLxUi1M/06DqocEqfgVcItxQbvINJAINq+AcepTMgUOdAxrtiMlIDgiTYc2lxCIlyJol/pLye3yetpKH0PVmZy9+TS6XQHU1O6AHFysVJoF1J+aCZmEpEkpfrfbFC9IbAkjw+RzHJgOw2iW2iBSbnHqUlzMQUOrDHArxmmtVV6GDCHocpjFcLs6gebPJbE5WkHa3jGdkw3sswU2Kh4bAF1OZiZYLu5eM1r8KI7VGTXcNw7pbNdwjRaP4bFsrgYxWSgEensRINaTjAiMCeXjjFXvMTOQ7AiGOdmiwMY2gmp3qOicDQnrOlYcbHHlr18w9U6XyHCmVuZHN0cmVhbQplbmRvYmoKMzAgMCBvYmoKPDwgL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCAxOCA+PgpzdHJlYW0KeJwzNrRQMIDDFEOuNAAd5gNSCmVuZHN0cmVhbQplbmRvYmoKMzEgMCBvYmoKPDwgL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCAxMzMgPj4Kc3RyZWFtCnicRY9LDgQhCET3nKKOwMcf53Ey6YVz/+2AnW4TYz2FVIG5gqE9LmsDnRUfIRm28beplo5FWT5UelJWD8ngh6zGyyHcoCzwgkkqhiFQi5gakS1lbreA2zYNsrKVU6WOsIujMI/2tGwVHl+iWyJ1kj+DxCov3OO6Hcil1rveoou+f6QBMQkKZW5kc3RyZWFtCmVuZG9iagozMiAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDI1MSA+PgpzdHJlYW0KeJwtUUlyA0EIu88r9IRmp99jlyuH5P/XCMoHBg2LQHRa4qCMnyAsV7zlkatow98zMYLfBYd+K9dtWORAVCBJY1A1oXbxevQe2HGYCcyT1rAMZqwP/Iwp3OjF4TEZZ7fXZdQQ7F2vPZlByaxcxCUTF0zVYSNnDj+ZMi60cz03IOdGWJdhkG5WGjMSjjSFSCGFqpukzgRBEoyuRo02chT7pS+PdIZVjagx7HMtbV/PTThr0OxYrPLklB5dcS4nFy+sHPT1NgMXUWms8kBIwP1uD/VzspPfeEvnzhbT43vNyfLCVGDFm9duQDbV4t+8iOP7jK/n5/n8A19gW4gKZW5kc3RyZWFtCmVuZG9iagozMyAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDg5ID4+CnN0cmVhbQp4nDVNuRGAMAzrPYVHwI9IvA/HUYT9W+yENJZOnxHKB2vkAYLhjS8h+KIvGYS1Cw8q+0h02EQNZxUkE8OvLPCqnBVtcyUT2VlMo7NBy/St7W+DHro/3Y4cCgplbmRzdHJlYW0KZW5kb2JqCjM0IDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggMjE1ID4+CnN0cmVhbQp4nDVROQ4DIQzs9xX+QCSML3hPoijN/r/NjNFWHsFchrSUIZnyUpOoIeVTPnqZLpy63NfMajTnlrQtc4C4trwvrZLAiWaIg8FpmLgBmjwBQ9fRqFFDFx7Q1KVTKLDcBD6Kt24P3WO1gZe2IeeJIGIoGSxBzalFExZtzyekNb9eixvel+3dyFOlxpYYgQYBVjgc1+jX8JU9TybRdBUy1Ks1yxgJE0UiPPmOptUT61o00jIS1MYRrGoDvDv9ME4AABNxywJkn0qUs+TEb7H0swZX+v4Bn0dUlgplbmRzdHJlYW0KZW5kb2JqCjE2IDAgb2JqCjw8IC9CYXNlRm9udCAvQk1RUURWK0RlamFWdVNhbnMgL0NoYXJQcm9jcyAxNyAwIFIKL0VuY29kaW5nIDw8Ci9EaWZmZXJlbmNlcyBbIDMyIC9zcGFjZSA0OCAvemVybyAvb25lIC90d28gNTIgL2ZvdXIgNTQgL3NpeCA1NiAvZWlnaHQgNjggL0QgNzkgL08gOTcKL2EgMTAzIC9nIDEwNSAvaSAxMDggL2wgMTEwIC9uIDExNCAvciAxMTYgL3QgMTIwIC94IF0KL1R5cGUgL0VuY29kaW5nID4+Ci9GaXJzdENoYXIgMCAvRm9udEJCb3ggWyAtMTAyMSAtNDYzIDE3OTQgMTIzMyBdIC9Gb250RGVzY3JpcHRvciAxNSAwIFIKL0ZvbnRNYXRyaXggWyAwLjAwMSAwIDAgMC4wMDEgMCAwIF0gL0xhc3RDaGFyIDI1NSAvTmFtZSAvQk1RUURWK0RlamFWdVNhbnMKL1N1YnR5cGUgL1R5cGUzIC9UeXBlIC9Gb250IC9XaWR0aHMgMTQgMCBSID4+CmVuZG9iagoxNSAwIG9iago8PCAvQXNjZW50IDkyOSAvQ2FwSGVpZ2h0IDAgL0Rlc2NlbnQgLTIzNiAvRmxhZ3MgMzIKL0ZvbnRCQm94IFsgLTEwMjEgLTQ2MyAxNzk0IDEyMzMgXSAvRm9udE5hbWUgL0JNUVFEVitEZWphVnVTYW5zCi9JdGFsaWNBbmdsZSAwIC9NYXhXaWR0aCAxMzQyIC9TdGVtViAwIC9UeXBlIC9Gb250RGVzY3JpcHRvciAvWEhlaWdodCAwID4+CmVuZG9iagoxNCAwIG9iagpbIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwCjYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgMzE4IDQwMSA0NjAgODM4IDYzNgo5NTAgNzgwIDI3NSAzOTAgMzkwIDUwMCA4MzggMzE4IDM2MSAzMTggMzM3IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYKNjM2IDYzNiAzMzcgMzM3IDgzOCA4MzggODM4IDUzMSAxMDAwIDY4NCA2ODYgNjk4IDc3MCA2MzIgNTc1IDc3NSA3NTIgMjk1CjI5NSA2NTYgNTU3IDg2MyA3NDggNzg3IDYwMyA3ODcgNjk1IDYzNSA2MTEgNzMyIDY4NCA5ODkgNjg1IDYxMSA2ODUgMzkwIDMzNwozOTAgODM4IDUwMCA1MDAgNjEzIDYzNSA1NTAgNjM1IDYxNSAzNTIgNjM1IDYzNCAyNzggMjc4IDU3OSAyNzggOTc0IDYzNCA2MTIKNjM1IDYzNSA0MTEgNTIxIDM5MiA2MzQgNTkyIDgxOCA1OTIgNTkyIDUyNSA2MzYgMzM3IDYzNiA4MzggNjAwIDYzNiA2MDAgMzE4CjM1MiA1MTggMTAwMCA1MDAgNTAwIDUwMCAxMzQyIDYzNSA0MDAgMTA3MCA2MDAgNjg1IDYwMCA2MDAgMzE4IDMxOCA1MTggNTE4CjU5MCA1MDAgMTAwMCA1MDAgMTAwMCA1MjEgNDAwIDEwMjMgNjAwIDUyNSA2MTEgMzE4IDQwMSA2MzYgNjM2IDYzNiA2MzYgMzM3CjUwMCA1MDAgMTAwMCA0NzEgNjEyIDgzOCAzNjEgMTAwMCA1MDAgNTAwIDgzOCA0MDEgNDAxIDUwMCA2MzYgNjM2IDMxOCA1MDAKNDAxIDQ3MSA2MTIgOTY5IDk2OSA5NjkgNTMxIDY4NCA2ODQgNjg0IDY4NCA2ODQgNjg0IDk3NCA2OTggNjMyIDYzMiA2MzIgNjMyCjI5NSAyOTUgMjk1IDI5NSA3NzUgNzQ4IDc4NyA3ODcgNzg3IDc4NyA3ODcgODM4IDc4NyA3MzIgNzMyIDczMiA3MzIgNjExIDYwNQo2MzAgNjEzIDYxMyA2MTMgNjEzIDYxMyA2MTMgOTgyIDU1MCA2MTUgNjE1IDYxNSA2MTUgMjc4IDI3OCAyNzggMjc4IDYxMiA2MzQKNjEyIDYxMiA2MTIgNjEyIDYxMiA4MzggNjEyIDYzNCA2MzQgNjM0IDYzNCA1OTIgNjM1IDU5MiBdCmVuZG9iagoxNyAwIG9iago8PCAvRCAxOCAwIFIgL08gMTkgMCBSIC9hIDIwIDAgUiAvZWlnaHQgMjEgMCBSIC9mb3VyIDIyIDAgUiAvZyAyMyAwIFIKL2kgMjQgMCBSIC9sIDI1IDAgUiAvbiAyNiAwIFIgL29uZSAyNyAwIFIgL3IgMjggMCBSIC9zaXggMjkgMCBSCi9zcGFjZSAzMCAwIFIgL3QgMzEgMCBSIC90d28gMzIgMCBSIC94IDMzIDAgUiAvemVybyAzNCAwIFIgPj4KZW5kb2JqCjMgMCBvYmoKPDwgL0YxIDE2IDAgUiA+PgplbmRvYmoKNCAwIG9iago8PCAvQTEgPDwgL0NBIDAgL1R5cGUgL0V4dEdTdGF0ZSAvY2EgMSA+PgovQTIgPDwgL0NBIDEgL1R5cGUgL0V4dEdTdGF0ZSAvY2EgMSA+PiA+PgplbmRvYmoKNSAwIG9iago8PCA+PgplbmRvYmoKNiAwIG9iago8PCA+PgplbmRvYmoKNyAwIG9iago8PCAvUDAgMTMgMCBSID4+CmVuZG9iagoxMyAwIG9iago8PCAvQkJveCBbIC0zLjczODYxMjc4NzUgLTMuNzM4NjEyNzg3NSAzLjczODYxMjc4NzUgMy43Mzg2MTI3ODc1IF0KL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCAxNDAgL1N1YnR5cGUgL0Zvcm0gL1R5cGUgL1hPYmplY3QgPj4Kc3RyZWFtCnicbZA7DgMxCER7TuELjIXxZ+025V5jmyhS7t9mE20mjkxj4QHmASk8RMMu5wOLW+4t5fAUjZs162MSUyxmw/pbKlW11lMauZVhAYwOYRbsoAfoS0k/Ld/PL03E5UHChJoAV7nnz/AQh4/VBB4L60hY58bfXnAWh3MfuIeEc3G4JEwr3kVu8gKN1lmqCmVuZHN0cmVhbQplbmRvYmoKMiAwIG9iago8PCAvQ291bnQgMSAvS2lkcyBbIDExIDAgUiBdIC9UeXBlIC9QYWdlcyA+PgplbmRvYmoKMzUgMCBvYmoKPDwgL0NyZWF0aW9uRGF0ZSAoRDoyMDIxMTIxOTE1NDYyOFopCi9DcmVhdG9yIChNYXRwbG90bGliIHYzLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZykKL1Byb2R1Y2VyIChNYXRwbG90bGliIHBkZiBiYWNrZW5kIHYzLjUuMSkgPj4KZW5kb2JqCnhyZWYKMCAzNgowMDAwMDAwMDAwIDY1NTM1IGYgCjAwMDAwMDAwMTYgMDAwMDAgbiAKMDAwMDAwODc2MyAwMDAwMCBuIAowMDAwMDA4MjUxIDAwMDAwIG4gCjAwMDAwMDgyODMgMDAwMDAgbiAKMDAwMDAwODM4MiAwMDAwMCBuIAowMDAwMDA4NDAzIDAwMDAwIG4gCjAwMDAwMDg0MjQgMDAwMDAgbiAKMDAwMDAwMDA2NSAwMDAwMCBuIAowMDAwMDAwMzM5IDAwMDAwIG4gCjAwMDAwMDIwMjcgMDAwMDAgbiAKMDAwMDAwMDIwOCAwMDAwMCBuIAowMDAwMDAyMDA2IDAwMDAwIG4gCjAwMDAwMDg0NTYgMDAwMDAgbiAKMDAwMDAwNjk4NiAwMDAwMCBuIAowMDAwMDA2Nzc5IDAwMDAwIG4gCjAwMDAwMDYzNDkgMDAwMDAgbiAKMDAwMDAwODAzOSAwMDAwMCBuIAowMDAwMDAyMDQ3IDAwMDAwIG4gCjAwMDAwMDIyODQgMDAwMDAgbiAKMDAwMDAwMjU3MiAwMDAwMCBuIAowMDAwMDAyOTUyIDAwMDAwIG4gCjAwMDAwMDM0MjAgMDAwMDAgbiAKMDAwMDAwMzU4NiAwMDAwMCBuIAowMDAwMDA0MDAwIDAwMDAwIG4gCjAwMDAwMDQxNDQgMDAwMDAgbiAKMDAwMDAwNDI2MyAwMDAwMCBuIAowMDAwMDA0NDk5IDAwMDAwIG4gCjAwMDAwMDQ2NTQgMDAwMDAgbiAKMDAwMDAwNDg4NyAwMDAwMCBuIAowMDAwMDA1MjgwIDAwMDAwIG4gCjAwMDAwMDUzNzAgMDAwMDAgbiAKMDAwMDAwNTU3NiAwMDAwMCBuIAowMDAwMDA1OTAwIDAwMDAwIG4gCjAwMDAwMDYwNjEgMDAwMDAgbiAKMDAwMDAwODgyMyAwMDAwMCBuIAp0cmFpbGVyCjw8IC9JbmZvIDM1IDAgUiAvUm9vdCAxIDAgUiAvU2l6ZSAzNiA+PgpzdGFydHhyZWYKODk3NAolJUVPRgo=\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=50, centers=2, random_state=4, cluster_std=1)\n",
    "X += 3\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=30, edgecolors='black')\n",
    "plt.xlim(0, 16)\n",
    "plt.xlabel('x0')\n",
    "plt.ylim(0, 10)\n",
    "plt.ylabel('x1')\n",
    "plt.title(\"Original Data\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "scaler = QuantileTransformer(n_quantiles=50)\n",
    "X_trans = scaler.fit_transform(X)\n",
    "\n",
    "plt.scatter(X_trans[:, 0], X_trans[:, 1], c=y, s=30, edgecolors='black')\n",
    "plt.xlim(0, 5)\n",
    "plt.xlabel('x0')\n",
    "plt.ylim(0, 5)\n",
    "plt.ylabel('x1')\n",
    "plt.title(type(scaler).__name__)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(X_trans)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(50, 2)\n"
     ]
    }
   ],
   "source": [
    "print(scaler.quantiles_.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.  5.  8.  9. 10.]\n"
     ]
    }
   ],
   "source": [
    "x = np.array([[0], [5], [8], [9], [10]])\n",
    "print(np.percentile(x[:, 0], [0, 25, 50, 75, 100]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.   0.25 0.5  0.75 1.  ]\n"
     ]
    }
   ],
   "source": [
    "x_trans = QuantileTransformer(n_quantiles=5).fit_transform(x)\n",
    "print(np.percentile(x_trans[:, 0], [0, 25, 50, 75, 100]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "scaler = QuantileTransformer(n_quantiles=50, output_distribution='normal')\n",
    "X_trans = scaler.fit_transform(X)\n",
    "\n",
    "plt.scatter(X_trans[:, 0], X_trans[:, 1], c=y, s=30, edgecolors='black')\n",
    "plt.xlim(-5, 5)\n",
    "plt.xlabel('x0')\n",
    "plt.ylim(-5, 5)\n",
    "plt.ylabel('x1')\n",
    "plt.title(type(scaler).__name__)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
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    },
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\n",
      "image/png": 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LlSRJ07LgADCBVUAB/znbwiQrgBUjTSu3QU2SJDVt0EGASW4JvAb4UFVtmGO1NcD6kenSIWuSJEkDBoAktwA+CgQ4cgurHkPXSzAz7T1UTZIkqTPIJYCRF/99gd/cwrt/qmoTsGlk2yFKkiRJI6YeAEZe/O8GPKKqrp72MSRJ0uIsOAAk2QXYf6TpzknuC1wD/AD4GN1HAH8b2DHJnv1611TVDYsrV5IkTcMkPQAHAWeMzB/bP54IvBx4Qj9/zth2jwDWTXA8SZI0ZZN8D8A6uoF9c/EiviRJ2znvBSBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDFhwAkhyc5JQklyWpJIeNLU+SVyb5QZLrkpye5G5Tq1iSJC3aJD0AOwNfB543x/IXAX8CPBd4EHAtcFqSW05UoSRJmrqdFrpBVZ0KnAqQZLNl6RqOAl5VVR/v234fuAI4DPjwoqqVJElTMe0xAHcG9gROn2moqvXAWcBDZtsgyYoku85MwMop1yRJksZMOwDs2T9eMdZ+xciycWuA9SPTpVOuSZIkjdkePgVwDLBqZNp7acuRJOmX34LHAGzF5f3jHsAPRtr3AM6ZbYOq2gRsmpkfH1cgSZKmb9o9ABfShYBHzjT01/UfBPzLlI8lSZImtOAegCS7APuPNN05yX2Ba6rq4iTHAX+V5N/pAsHRwGXAyYuuVpIkTcUklwAOAs4YmT+2fzwRWA28lu67Av4fcBvgTOCxVXX9xFVKkqSpmuR7ANYBc16or6oC/rqfJEnSdmh7+BSAJEnaxgwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDVo6gEgyY5Jjk5yYZLrklyQ5KVJMu1jSZKkyew0wD5fDBwJPAs4FzgIeA+wHnjTAMeTJEkLNEQAeCjw8ar6VD9/UZKnAw8c4FiSJGkCQ4wB+GfgkUnuDpDk14GHAacOcCxJkjSBIXoAXg3sCnwnyU3AjsBfVtUHZls5yQpgxUjTygFqkiRJI4boAfgd4JnAM4AD6cYCvCDJs+ZYfw3d+ICZ6dIBapIkSSOG6AF4HfDqqvpwP//NJPvSvdCfOMv6xwDHjsyvxBAgSdKghggAtwZ+NtZ2E3P0NlTVJmDTzLyfFpQkaXhDBIBTgL9McjHdxwDvB/w58O4BjiVJkiYwRAB4PnA08FZgd+Ay4B3AKwc4liRJmsDUA0BVbQSO6idJkrQd8l4AkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNWiImwFJ263kpEXvow774BQqAdaunc5+tCDT+B2AKf0e+DugJWQPgCRJDTIASJLUIAOAJEkNMgBIktQgA4AkSQ0yAEiS1CADgCRJDTIASJLUIAOAJEkNMgBIktQgA4AkSQ0aJAAk2SvJ+5NcneS6JN9MctAQx5IkSQs39ZsBJbkt8EXgDOBxwFXA3YAfTftYkiRpMkPcDfDFwCVV9eyRtgsHOI4kSZrQEJcAngCcneSkJFcm+VqSPxzgOJIkaUJDBIC7AEcC/w48Bngb8KYkz5pt5SQrkuw6MwErB6hJkiSNGOISwA7A2VX1F/3815LcG3gucOIs668BXjZAHZIkaQ5D9AD8ADhvrO3bwJ3mWP8YYNXItPcANUmSpBFD9AB8EThgrO3uwPdmW7mqNgGbZuaTDFCSJEkaNUQPwBuAByf5iyT7J3kG8Bzg+AGOJUmSJjD1AFBVXwaeBDwd+BbwUuCoqvrAtI8lSZImM8QlAKrqk8Anh9i3JElaPO8FIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMMAJIkNcgAIElSgwwAkiQ1yAAgSVKDDACSJDXIACBJUoMGDwBJXpKkkhw39LEkSdL8DBoAkjwAOAL4xpDHkSRJCzNYAEiyC/AB4A+BHw11HEmStHBD9gAcD3yqqk4f8BiSJGkCOw2x0ySHAwcCD5jHuiuAFSNNK4eoSZIk/cLUewCS7AO8EXhmVV0/j03WAOtHpkunXZMkSdrcEJcA7g/sDnw1yY1JbgQOAf6kn99xbP1jgFUj094D1CRJkkYMcQngH4FfG2t7D/Ad4DVVddPogqraBGyamU8yQEmSJGnU1ANAVW0EvjXaluRa4Oqq+tbsW0mSpG3JbwKUJKlBg3wKYFxVHbotjiNJkubHHgBJkhpkAJAkqUEGAEmSGmQAkCSpQQYASZIaZACQJKlBBgBJkhpkAJAkqUEGAEmSGmQAkCSpQQYASZIaZACQJKlBBgBJkhpkAJAkqUEGAEmSGmQAkCSpQQYASZIaZACQJKlBBgBJkhpkAJAkqUEGAEmSGmQAkCSpQQYASZIaNPUAkGRNki8n2ZjkyiQnJzlg2seRJEmTG6IH4BDgeODBwKOAWwCfTbLzAMeSJEkT2GnaO6yqx47OJ1kNXAncH/j8tI8nSZIWbuoBYBar+sdrZluYZAWwYqRp5eAVSZLUuEEHASbZATgO+GJVfWuO1dYA60emS4esSZIkDf8pgOOBewOHb2GdY+h6CWamvQeuSZKk5g12CSDJW4DfBg6uqjnf1VfVJmDTyHZDlSRJknpTDwDpXsHfDDwJOLSqLpz2MSRJ0uIM0QNwPPAM4InAxiR79u3rq+q6AY4nSZIWaIgxAEfSXctfB/xgZHraAMeSJEkTGOJ7ALyIL0nSds57AUiS1CADgCRJDTIASJLUIAOAJEkNMgBIktQgA4AkSQ0yAEiS1CADgCRJDTIASJLUIAOAJEkNGux2wNuj5KRF76MO++DiC1m7dvH7kCRNzNcDewAkSWqSAUCSpAYZACRJapABQJKkBhkAJElqkAFAkqQGGQAkSWqQAUCSpAYZACRJapABQJKkBhkAJElqkAFAkqQGDRYAkjwvyUVJrk9yVpIHDnUsSZK0MIMEgCRPA44FXgEcCHwdOC3J7kMcT5IkLcxQPQB/Dryzqt5TVecBzwV+AvzBQMeTJEkLsNO0d5jkvwH3B46ZaauqnyU5HXjILOuvAFaMNK0E2LBhw7RLo8sgi7Phpz9dfBmDPDfNz3byOwDz+D1oq1bYVv+/llOtGs528v9ryr8DC3ntTFVN9eBJ7gh8H3hoVf3LSPtrgUOq6kFj678ceNlUi5AkqW17V9X3t7TC1HsAJnAM3XiBUbcDrlmCWrY3K4FLgb2BjUtcy3LnuZwez+X0eC6nx3P5CyuBy7a20hAB4IfATcAeY+17AJePr1xVm4BNY832iwFJZn7cWFWek0XwXE6P53J6PJfT47nczLye/9QHAVbVDcBXgEfOtCXZoZ//l7m2kyRJ285QlwCOBU5McjbwJeAoYGfgPQMdT5IkLcAgAaCqPpJkN+CVwJ7AOcBjq+qKIY73S2wT3XcpjF8i0cJ5LqfHczk9nsvp8Vwu0NQ/BSBJkrZ/3gtAkqQGGQAkSWqQAUCSpAYZACRJapABYJlJsiLJOUkqyX2Xup7lJsl+Sd6V5MIk1yW5IMkr+ntYaCu8zfd0JFmT5MtJNia5MsnJSQ5Y6rqWuyQv6f82HrfUtSwHBoDl57XM4yseNad70P3eHwHcC/gzurtV/u1SFrUceJvvqToEOB54MPAo4BbAZ5PsvKRVLWNJHkD3//obS13LcuHHAJeRJI+j+wP8FOBc4H5Vdc6SFvVLIMkLgSOr6i5LXcv2LMlZwJer6o/7+R2AS4A3V9Wrl7S4Za7/3pQr6W6Y9vmlrme5SbIL8FXgj4C/As6pqqOWtKhlwB6AZSLJHsA7gd9jWvcz1YxVePOpLRq5zffpM21V9bN+/ma3+daCreof/T2czPHAp6rq9K2uqZ/bHu4GqK1Id5eLE4C3V9XZSfZb2op+eSTZH3g+8IKlrmU7dwdgR2D82zyvoLusogn1PSnHAV+sqm8tcTnLTpLD6S5JPWCpa1lu7AFYQkle3Q9Y2dJ0D7oXqJV0t07WLBZwLke32Qv4DHBSVb1zaSqXOB64N3D4Uhey3CTZB3gj8Myqun6p61luHAOwhPrrfrffymrfBT4KPB4Y/cfake62yx+oqmcNU+HyMd9z2d+tkiR3BNYB/wqs7ruzNYf+EsBPgKdW1ckj7ScCt6mqJy5VbctZkrcATwQOrqoLl7qe5SbJYcBaur+FM3ak+1v5M2BFVd00y6bCALAsJLkTsOtI0x2B04CnAmdV1aVLUtgy1b/zP4PuttW/6x+I+ekHAX6pqp7fz+8AXAy8xUGAC9Nf1nsz8CTg0Kr69yUuaVlKshLYd6z5PcB3gNd4SWXLHAOwDFTVxaPzSX7c/3iBL/4L07/4rwO+R3fdf7fubzFU1eVLV9my4G2+p+d44Bl07/43Jtmzb19fVdctXVnLS1VtBDZ7kU9yLXC1L/5bZwBQax4F7N9P4+Ep276c5cPbfE/Vkf3jurH2Z9MN+JUG5yUASZIa5KcAJElqkAFAkqQGGQAkSWqQAUCSpAYZACRJapABQJKkBhkAJElqkAFAkqQGGQAkSWqQAUCSpAYZACRJapABQJKkBv0XmlVpOsbZ5qkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
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\n",
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
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\n",
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(X)\n",
    "plt.title('Original Data')\n",
    "plt.show()\n",
    "\n",
    "X_trans = QuantileTransformer(n_quantiles=50, output_distribution='normal').fit_transform(X)\n",
    "plt.hist(X_trans)\n",
    "plt.title('QuantileTransformer')\n",
    "plt.show()\n",
    "\n",
    "X_trans = StandardScaler().fit_transform(X)\n",
    "plt.hist(X_trans)\n",
    "plt.title('StandardScaler')\n",
    "plt.show()\n",
    "\n",
    "X_trans = PowerTransformer(method='box-cox').fit_transform(X)\n",
    "plt.hist(X_trans)\n",
    "plt.title('PowerTransformer box-cox')\n",
    "plt.show()\n",
    "\n",
    "X_trans = PowerTransformer(method='yeo-johnson').fit_transform(X)\n",
    "plt.hist(X_trans)\n",
    "plt.title('PowerTransformer yeo-johnson')\n",
    "plt.show()"
   ]
  }
 ],
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