{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "oEN3bw2pEJW2"
      },
      "source": [
        "# 03.3.3 QuantileTransformer와 PowerTransformer"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dn2cx_FSEJW_"
      },
      "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": {
        "id": "euVolqXQEJXA"
      },
      "outputs": [],
      "source": [
        "# 노트북이 코랩에서 실행 중인지 체크합니다.\n",
        "import os\n",
        "import sys\n",
        "if 'google.colab' in sys.modules:\n",
        "    if not os.path.isdir('mglearn'):\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": {
        "id": "qd6hiG1pEJXE"
      },
      "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": {
        "id": "xGaFfpYKEJXF",
        "outputId": "3332e17d-f09c-4e07-bc37-b766f5a0fb14",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n",
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\n"
          },
          "metadata": {}
        }
      ],
      "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": {
        "id": "X4eLT8UcEJXG",
        "outputId": "8bc23ee2-49b6-433b-91a0-3eed22c63fb4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n",
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\n"
          },
          "metadata": {}
        }
      ],
      "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": {
        "id": "CAVaMAl2EJXI",
        "outputId": "ca608a7e-5a51-468b-b0b8-c4ecd2fd4737",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n",
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RaazyQEjA/W4P9XOyk994S+fOFtPje83J8sJUYMWb125ANtXi37yI4/uMr+fn+fwDX2BbiAplbmRzdHJlYW0KZW5kb2JqCjI1IDAgb2JqCjw8IC9MZW5ndGggMjE1IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nDVROQ4DIQzs9xX+QCSML3hPoijN/r/NjNFWHsFchrSUIZnyUpOoIeVTPnqZLpy63NfMajTnlrQtc4C4trwvrZLAiWaIg8FpmLgBmjwBQ9fRqFFDFx7Q1KVTKLDcBD6Kt24P3WO1gZe2IeeJIGIoGSxBzalFExZtzyekNb9eixvel+3dyFOlxpYYgQYBVjgc1+jX8JU9TybRdBUy1Ks1yxgJE0UiPPmOptUT61o00jIS1MYRrGoDvDv9ME4AABNxywJkn0qUs+TEb7H0swZX+v4Bn0dUlgplbmRzdHJlYW0KZW5kb2JqCjE1IDAgb2JqCjw8IC9UeXBlIC9Gb250IC9CYXNlRm9udCAvQk1RUURWK0RlamFWdVNhbnMgL0ZpcnN0Q2hhciAwIC9MYXN0Q2hhciAyNTUKL0ZvbnREZXNjcmlwdG9yIDE0IDAgUiAvU3VidHlwZSAvVHlwZTMgL05hbWUgL0JNUVFEVitEZWphVnVTYW5zCi9Gb250QkJveCBbIC0xMDIxIC00NjMgMTc5NCAxMjMzIF0gL0ZvbnRNYXRyaXggWyAwLjAwMSAwIDAgMC4wMDEgMCAwIF0KL0NoYXJQcm9jcyAxNiAwIFIKL0VuY29kaW5nIDw8IC9UeXBlIC9FbmNvZGluZwovRGlmZmVyZW5jZXMgWyA0NiAvcGVyaW9kIDQ4IC96ZXJvIC9vbmUgL3R3byAvdGhyZWUgL2ZvdXIgL2ZpdmUgL3NpeCA1NiAvZWlnaHQgXQo+PgovV2lkdGhzIDEzIDAgUiA+PgplbmRvYmoKMTQgMCBvYmoKPDwgL1R5cGUgL0ZvbnREZXNjcmlwdG9yIC9Gb250TmFtZSAvQk1RUURWK0RlamFWdVNhbnMgL0ZsYWdzIDMyCi9Gb250QkJveCBbIC0xMDIxIC00NjMgMTc5NCAxMjMzIF0gL0FzY2VudCA5MjkgL0Rlc2NlbnQgLTIzNiAvQ2FwSGVpZ2h0IDAKL1hIZWlnaHQgMCAvSXRhbGljQW5nbGUgMCAvU3RlbVYgMCAvTWF4V2lkdGggMTM0MiA+PgplbmRvYmoKMTMgMCBvYmoKWyA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMAo2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDMxOCA0MDEgNDYwIDgzOCA2MzYKOTUwIDc4MCAyNzUgMzkwIDM5MCA1MDAgODM4IDMxOCAzNjEgMzE4IDMzNyA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2CjYzNiA2MzYgMzM3IDMzNyA4MzggODM4IDgzOCA1MzEgMTAwMCA2ODQgNjg2IDY5OCA3NzAgNjMyIDU3NSA3NzUgNzUyIDI5NQoyOTUgNjU2IDU1NyA4NjMgNzQ4IDc4NyA2MDMgNzg3IDY5NSA2MzUgNjExIDczMiA2ODQgOTg5IDY4NSA2MTEgNjg1IDM5MCAzMzcKMzkwIDgzOCA1MDAgNTAwIDYxMyA2MzUgNTUwIDYzNSA2MTUgMzUyIDYzNSA2MzQgMjc4IDI3OCA1NzkgMjc4IDk3NCA2MzQgNjEyCjYzNSA2MzUgNDExIDUyMSAzOTIgNjM0IDU5MiA4MTggNTkyIDU5MiA1MjUgNjM2IDMzNyA2MzYgODM4IDYwMCA2MzYgNjAwIDMxOAozNTIgNTE4IDEwMDAgNTAwIDUwMCA1MDAgMTM0MiA2MzUgNDAwIDEwNzAgNjAwIDY4NSA2MDAgNjAwIDMxOCAzMTggNTE4IDUxOAo1OTAgNTAwIDEwMDAgNTAwIDEwMDAgNTIxIDQwMCAxMDIzIDYwMCA1MjUgNjExIDMxOCA0MDEgNjM2IDYzNiA2MzYgNjM2IDMzNwo1MDAgNTAwIDEwMDAgNDcxIDYxMiA4MzggMzYxIDEwMDAgNTAwIDUwMCA4MzggNDAxIDQwMSA1MDAgNjM2IDYzNiAzMTggNTAwCjQwMSA0NzEgNjEyIDk2OSA5NjkgOTY5IDUzMSA2ODQgNjg0IDY4NCA2ODQgNjg0IDY4NCA5NzQgNjk4IDYzMiA2MzIgNjMyIDYzMgoyOTUgMjk1IDI5NSAyOTUgNzc1IDc0OCA3ODcgNzg3IDc4NyA3ODcgNzg3IDgzOCA3ODcgNzMyIDczMiA3MzIgNzMyIDYxMSA2MDUKNjMwIDYxMyA2MTMgNjEzIDYxMyA2MTMgNjEzIDk4MiA1NTAgNjE1IDYxNSA2MTUgNjE1IDI3OCAyNzggMjc4IDI3OCA2MTIgNjM0CjYxMiA2MTIgNjEyIDYxMiA2MTIgODM4IDYxMiA2MzQgNjM0IDYzNCA2MzQgNTkyIDYzNSA1OTIgXQplbmRvYmoKMTYgMCBvYmoKPDwgL2VpZ2h0IDE3IDAgUiAvZml2ZSAxOCAwIFIgL2ZvdXIgMTkgMCBSIC9vbmUgMjAgMCBSIC9wZXJpb2QgMjEgMCBSCi9zaXggMjIgMCBSIC90aHJlZSAyMyAwIFIgL3R3byAyNCAwIFIgL3plcm8gMjUgMCBSID4+CmVuZG9iagozIDAgb2JqCjw8IC9GMSAxNSAwIFIgPj4KZW5kb2JqCjQgMCBvYmoKPDwgL0ExIDw8IC9UeXBlIC9FeHRHU3RhdGUgL0NBIDAgL2NhIDEgPj4KL0EyIDw8IC9UeXBlIC9FeHRHU3RhdGUgL0NBIDEgL2NhIDEgPj4gPj4KZW5kb2JqCjUgMCBvYmoKPDwgPj4KZW5kb2JqCjYgMCBvYmoKPDwgPj4KZW5kb2JqCjcgMCBvYmoKPDwgPj4KZW5kb2JqCjIgMCBvYmoKPDwgL1R5cGUgL1BhZ2VzIC9LaWRzIFsgMTEgMCBSIF0gL0NvdW50IDEgPj4KZW5kb2JqCjI2IDAgb2JqCjw8IC9DcmVhdG9yIChNYXRwbG90bGliIHYzLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcpCi9Qcm9kdWNlciAoTWF0cGxvdGxpYiBwZGYgYmFja2VuZCB2My4xMC4wKQovQ3JlYXRpb25EYXRlIChEOjIwMjUwMzE0MDYyMzU1WikgPj4KZW5kb2JqCnhyZWYKMCAyNwowMDAwMDAwMDAwIDY1NTM1IGYgCjAwMDAwMDAwMTYgMDAwMDAgbiAKMDAwMDAwNjA3MyAwMDAwMCBuIAowMDAwMDA1ODc5IDAwMDAwIG4gCjAwMDAwMDU5MTEgMDAwMDAgbiAKMDAwMDAwNjAxMCAwMDAwMCBuIAowMDAwMDA2MDMxIDAwMDAwIG4gCjAwMDAwMDYwNTIgMDAwMDAgbiAKMDAwMDAwMDA2NSAwMDAwMCBuIAowMDAwMDAwMzQ0IDAwMDAwIG4gCjAwMDAwMDE0MzYgMDAwMDAgbiAKMDAwMDAwMDIwOCAwMDAwMCBuIAowMDAwMDAxNDE2IDAwMDAwIG4gCjAwMDAwMDQ2ODYgMDAwMDAgbiAKMDAwMDAwNDQ3OSAwMDAwMCBuIAowMDAwMDA0MTA4IDAwMDAwIG4gCjAwMDAwMDU3MzkgMDAwMDAgbiAKMDAwMDAwMTQ1NiAwMDAwMCBuIAowMDAwMDAxOTI0IDAwMDAwIG4gCjAwMDAwMDIyNDYgMDAwMDAgbiAKMDAwMDAwMjQxMiAwMDAwMCBuIAowMDAwMDAyNTY3IDAwMDAwIG4gCjAwMDAwMDI2OTAgMDAwMDAgbiAKMDAwMDAwMzA4MyAwMDAwMCBuIAowMDAwMDAzNDk2IDAwMDAwIG4gCjAwMDAwMDM4MjAgMDAwMDAgbiAKMDAwMDAwNjEzMyAwMDAwMCBuIAp0cmFpbGVyCjw8IC9TaXplIDI3IC9Sb290IDEgMCBSIC9JbmZvIDI2IDAgUiA+PgpzdGFydHhyZWYKNjI4NgolJUVPRgo=\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "plt.hist(X_trans)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "id": "Qk0Q9pN4EJXJ",
        "outputId": "ea59bc3c-fa95-44ed-9ff0-8ddfc3d37efd",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(50, 2)\n"
          ]
        }
      ],
      "source": [
        "print(scaler.quantiles_.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "id": "E3GjBwBvEJXK",
        "outputId": "afb3e37a-9079-4b17-b9a8-a67f8f9d626f",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "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": {
        "id": "9jhn4kqwEJXL",
        "outputId": "3fc37d47-16df-491e-cf59-a132bbc998b3",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "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": {
        "id": "v2ZH25-tEJXN",
        "outputId": "684e4b46-590f-4d3a-8764-dd939ba64d92",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n",
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\n"
          },
          "metadata": {}
        }
      ],
      "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": {
        "id": "vPCEaGSwEJXO",
        "outputId": "ae56cfae-c2d3-4eef-d926-272079b1dfdf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n",
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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n",
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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n",
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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n",
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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n",
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\n"
          },
          "metadata": {}
        }
      ],
      "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()"
      ]
    }
  ],
  "metadata": {
    "environment": {
      "kernel": "python3",
      "name": "common-cpu.m102",
      "type": "gcloud",
      "uri": "gcr.io/deeplearning-platform-release/base-cpu:m102"
    },
    "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": "3.7.12"
    },
    "colab": {
      "provenance": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}