{
  "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",
        "outputId": "448c79bc-5313-445b-f79a-669e0dc464a6",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\u001b[?25l     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m0.0/10.8 MB\u001b[0m \u001b[31m?\u001b[0m eta \u001b[36m-:--:--\u001b[0m\r\u001b[2K     \u001b[91m╸\u001b[0m\u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m0.2/10.8 MB\u001b[0m \u001b[31m5.9 MB/s\u001b[0m eta \u001b[36m0:00:02\u001b[0m\r\u001b[2K     \u001b[91m━━━━━━━━━\u001b[0m\u001b[91m╸\u001b[0m\u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m2.6/10.8 MB\u001b[0m \u001b[31m37.2 MB/s\u001b[0m eta \u001b[36m0:00:01\u001b[0m\r\u001b[2K     \u001b[91m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[91m╸\u001b[0m\u001b[90m━━━━━━━━━━\u001b[0m \u001b[32m8.1/10.8 MB\u001b[0m \u001b[31m77.3 MB/s\u001b[0m eta \u001b[36m0:00:01\u001b[0m\r\u001b[2K     \u001b[91m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[91m╸\u001b[0m \u001b[32m10.8/10.8 MB\u001b[0m \u001b[31m138.8 MB/s\u001b[0m eta \u001b[36m0:00:01\u001b[0m\r\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m10.8/10.8 MB\u001b[0m \u001b[31m92.3 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25h"
          ]
        }
      ],
      "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",
        "    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": "effdf00e-2591-408f-d8fb-46623340febf",
        "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": "07cac32c-eff0-4866-a627-f63c7a9a43fb",
        "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": "d982759b-b8c2-41bc-daee-0491dcdc6ed4",
        "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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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "plt.hist(X_trans)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "id": "Qk0Q9pN4EJXJ",
        "outputId": "61dbb3da-b68f-4521-da27-96548f54f48a",
        "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": "cd2cbae1-7dbe-4586-a9de-ee63d9d78d79",
        "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": "d852179d-8197-4f32-a7c3-c2a617226d85",
        "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": "52d13515-017b-41bb-a002-5226edc6ea4b",
        "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": "dcc4a070-0d3d-43e5-8769-e01ab35892d4",
        "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
}