Dimensionality Reduction and Visualization with PCA, LDA and tSNE.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Assignment 3.2.ipynb",
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "oRv5LAjKpWHn",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from sklearn.datasets import load_iris\n",
        "from sklearn.decomposition import PCA\n",
        "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis as LDA\n",
        "from sklearn.manifold import TSNE\n",
        "\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sd741rOePZpz",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def data_plot_PCA(X, y, title, label):\n",
        "    fig=plt.figure()\n",
        "    # fig.colorbar()\n",
        "    ax=fig.add_axes([0,0,1,1])\n",
        "    x = ax.scatter(X[:, 0], X[:, 1], c=label[:])\n",
        "    ax.set_xlabel('Component 1')\n",
        "    ax.set_ylabel('Component 2')\n",
        "    ax.set_title(title)\n",
        "    plt.colorbar(x)\n",
        "    plt.show()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "brh1Gl9HsJDd",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def data_plot(X, y, title):\n",
        "    fig=plt.figure()\n",
        "    ax=fig.add_axes([0,0,1,1])\n",
        "    ax.scatter(X[:50, 0], X[:50, 1], color='r',alpha=0.6, label=y[0])\n",
        "    ax.scatter(X[50:100, 0], X[50:100, 1], color='b',alpha=0.5, label=y[1])\n",
        "    ax.scatter(X[100:150, 0], X[100:150, 1], color='g',alpha=0.6, label=y[2])\n",
        "    ax.set_xlabel('Component 1')\n",
        "    ax.set_ylabel('Component 2')\n",
        "    ax.set_title(title)\n",
        "    ax.legend()\n",
        "    plt.show()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "f-xqH9DGi6eX",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def plot_LDA(X, targets, lda):\n",
        "    fig=plt.figure()\n",
        "    ax=fig.add_axes([0,0,1,1])\n",
        "    ax.scatter(X[:50, 0], np.zeros((50, 1)),color='r',alpha=0.4, label=targets[0])\n",
        "    ax.scatter(X[50:100, 0], np.zeros((50, 1)), color='b',alpha=0.4, label=targets[1])\n",
        "    ax.set_title(targets[0] + ' and ' + targets[1])\n",
        "    ax.set_ylim(-3, 3)\n",
        "    x1 = np.array([np.min(X[:,0], axis=0), np.max(X[:,0], axis=0)])\n",
        "    b, w1, w2 = lda.intercept_[0], lda.coef_[0, 0], lda.coef_[0, 1]\n",
        "    y1 = -(b+x1*w1)/w2    \n",
        "    plt.plot(x1,y1,c='g')\n",
        "    ax.legend()\n",
        "    plt.show()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2NKaMLgPrP86",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "dataset = load_iris()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "E2Obmz3DrSVk",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "X = dataset.data\n",
        "y = dataset.target"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TE70AP4ar23P",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "pca = PCA(n_components=2)\n",
        "#  scaling to be done\n",
        "X_pca = pca.fit_transform(X)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6fWzNBmcsFiG",
        "colab_type": "code",
        "outputId": "43b45dab-5e4b-4ad6-f220-1cb76d2aa372",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "X_pca.shape"
      ],
      "execution_count": 52,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(150, 2)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 52
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Y1kSuL4WtBAL",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "41644c80-669d-4afe-d336-8861cd5a16f2"
      },
      "source": [
        "pca.explained_variance_ratio_"
      ],
      "execution_count": 53,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0.92461872, 0.05306648])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 53
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Sak9xGZGzsf6",
        "colab_type": "code",
        "outputId": "77712d32-51d0-45a3-854d-658296ff67ac",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 366
        }
      },
      "source": [
        "data_plot_PCA(X_pca, dataset.target_names, 'PCA Components-variation in Sepal Length', X[:, 0])"
      ],
      "execution_count": 54,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pNRzHD_3RJ9j",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 366
        },
        "outputId": "ed1bc7e4-d8a3-4daa-80d9-e8aa711f2d79"
      },
      "source": [
        "data_plot_PCA(X_pca, dataset.target_names, 'PCA Components-variation in Sepal Width', X[:, 1])"
      ],
      "execution_count": 55,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2Yc4Tln3ZQ7h",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 366
        },
        "outputId": "8cecf8e2-51d1-4418-a0f5-5c73c88986c8"
      },
      "source": [
        "data_plot_PCA(X_pca, dataset.target_names, 'PCA Components-variation in Petal Length', X[:, 2])"
      ],
      "execution_count": 56,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Nk72MDepZQxT",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 366
        },
        "outputId": "7cbb3a07-89c1-46d5-d715-dffa75132d83"
      },
      "source": [
        "data_plot_PCA(X_pca, dataset.target_names, 'PCA Components-variation in Petal Width', X[:, 3])"
      ],
      "execution_count": 57,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7G4XiQSjupQt",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import seaborn as sns"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ncKJFXSYxHos",
        "colab_type": "code",
        "outputId": "68927ecb-b810-44c6-effc-be7a9db9544c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        }
      },
      "source": [
        "iris = pd.DataFrame(dataset.data, columns=dataset.feature_names)\n",
        "iris['species'] = dataset.target\n",
        "iris['species']=iris['species'].apply(lambda x: dataset['target_names'][x])\n",
        "iris.head()"
      ],
      "execution_count": 59,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>sepal length (cm)</th>\n",
              "      <th>sepal width (cm)</th>\n",
              "      <th>petal length (cm)</th>\n",
              "      <th>petal width (cm)</th>\n",
              "      <th>species</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>5.1</td>\n",
              "      <td>3.5</td>\n",
              "      <td>1.4</td>\n",
              "      <td>0.2</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>4.9</td>\n",
              "      <td>3.0</td>\n",
              "      <td>1.4</td>\n",
              "      <td>0.2</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>4.7</td>\n",
              "      <td>3.2</td>\n",
              "      <td>1.3</td>\n",
              "      <td>0.2</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>4.6</td>\n",
              "      <td>3.1</td>\n",
              "      <td>1.5</td>\n",
              "      <td>0.2</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>5.0</td>\n",
              "      <td>3.6</td>\n",
              "      <td>1.4</td>\n",
              "      <td>0.2</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   sepal length (cm)  sepal width (cm)  ...  petal width (cm)  species\n",
              "0                5.1               3.5  ...               0.2   setosa\n",
              "1                4.9               3.0  ...               0.2   setosa\n",
              "2                4.7               3.2  ...               0.2   setosa\n",
              "3                4.6               3.1  ...               0.2   setosa\n",
              "4                5.0               3.6  ...               0.2   setosa\n",
              "\n",
              "[5 rows x 5 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 59
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UodgbEvbxWQW",
        "colab_type": "code",
        "outputId": "57410026-c31e-46ee-fd13-c1457abfb61f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 765
        }
      },
      "source": [
        "sns.pairplot(iris, hue='species')"
      ],
      "execution_count": 60,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<seaborn.axisgrid.PairGrid at 0x7fb53d915518>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 60
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 804.75x720 with 20 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8jfQdI-Rxy7n",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "lda = LDA(n_components=2)\n",
        "X_lda = lda.fit_transform(X, y)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kzz09bBfccsH",
        "colab_type": "code",
        "outputId": "757ba730-3485-4f1d-e31f-1289cc4e41e0",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "X_lda.shape"
      ],
      "execution_count": 79,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(150, 2)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 79
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xWFc_qtlcpC-",
        "colab_type": "code",
        "outputId": "9370f720-71b0-4a87-8051-ab31ce715786",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 366
        }
      },
      "source": [
        "data_plot(X_lda, dataset.target_names, 'LDA Components')"
      ],
      "execution_count": 80,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "iKaEpsRxgYJG",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "setosa = X[0:50, :]\n",
        "setosa_target = y[0:50]\n",
        "versicolor = X[50:100, :]\n",
        "versicolor_target = y[50:100]\n",
        "virginica = X[100:150, :]\n",
        "virginica_target = y[100:150]\n",
        "\n",
        "x1 = np.concatenate((setosa, versicolor), axis=0)\n",
        "y1 = np.concatenate((setosa_target, versicolor_target), axis=0)\n",
        "\n",
        "x2 = np.concatenate((versicolor, virginica), axis=0)\n",
        "y2 = np.concatenate((versicolor_target, virginica_target), axis=0)\n",
        "\n",
        "x3 = np.concatenate((setosa, virginica), axis=0)\n",
        "y3 = np.concatenate((setosa_target, virginica_target), axis=0)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uI36MJGpTaik",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from sklearn.preprocessing import StandardScaler\n",
        "scaler  = StandardScaler()\n",
        "x2 = StandardScaler().fit_transform(x2)\n",
        "x3 = StandardScaler().fit_transform(x3)\n",
        "x1 = StandardScaler().fit_transform(x1)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QYwhX94Kidpl",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "lda1 = LDA(n_components=1)\n",
        "lda2 = LDA(n_components=1)\n",
        "lda3 = LDA(n_components=1)\n",
        "\n",
        "x1_lda = lda1.fit_transform(x1, y1)\n",
        "x2_lda = lda2.fit_transform(x2, y2)\n",
        "x3_lda = lda3.fit_transform(x3, y3)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "NJwNF7Oai3wo",
        "colab_type": "code",
        "outputId": "aa31eb94-3bad-4f99-ed8d-50950af31487",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "x1_lda.shape"
      ],
      "execution_count": 111,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(100, 1)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 111
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "99AiwD8RoSfW",
        "colab_type": "code",
        "outputId": "e0c6bf31-7fee-4bca-cb7f-f42c667ea8b1",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "lda1.coef_"
      ],
      "execution_count": 112,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[-1.94913821, -8.58504141, 31.39300313, 17.3442968 ]])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 112
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "epogB34OqY3v",
        "colab_type": "code",
        "outputId": "ea2c69f9-1d44-4fce-a7cc-034cea89069c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "lda1.intercept_"
      ],
      "execution_count": 113,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([-1.42108547e-14])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 113
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GQ8EFk_AkE-M",
        "colab_type": "code",
        "outputId": "7a0d66d6-1420-455b-875d-1a77eb833da9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 352
        }
      },
      "source": [
        "plot_LDA(x1_lda, ['Setosa', 'Versicolor'], lda1)"
      ],
      "execution_count": 114,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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UMzt2ePfEr6xFC++2vvG46aabeOedd1i6dCkFBQUMGzaMa665hpycHHJycli9ejWPx27KDzRt2vTY33/5y1/4l3/5F5YuXUpmZqZvn2ueTOXl+0GBKiJSz9TQt7fRrFkzrrzySiZNmsSECRP42te+xj/+8Y9jX8l25MgR1q9f/0/TlZeXs23bNq688kp+/etfk5eXd+yz1pirr76acDgMeBcx5eXlMXLkSF555RUKCgo4cuQICxYsYOTIkcdNN3LkSObPn09ZWRl79+7l/fff5+KLL45vRauhQBURqWdGj/a+rS03F8rLvd8HDnjD4zVhwgSWLVvGhAkTaNeuHXPnzmXChAlkZGRwySWXsHbt2n+apqysjLvuuotBgwYxdOhQvve975GWlnbcOH/4wx949913GTRoEMOHD2f16tUMGzaMiRMncvHFFzNixAjuu+++4z4/Bbj55pvJyMhg8ODBXHXVVfzmN7/hggsuiH9Fq6CvbxMRqQPO9Ovb9O1tp6avbxMRkVPSt7f5T6d8RUREfKBAFRER8YECVUSkjkjENTF11dlsSwWqiEgdkJqayv79+xWqPnDOsX//flJTU89oOl2UJCJSB3Tu3Jnt27ezd+/eRJdSJ6SmptK5c+czmkaBKiJSBzRs2NDX2+jJmdMpXxERER8oUEVERHygQBUREfGBAlVERMQHcQeqmXUxs3fNbLWZrTKz7/tRmIiISG3ix1W+pcCPnHNLzaw5kG1mbzvnVvswbxERkVoh7haqc26Xc25p9O/DwBogPd75ioiI1Ca+foZqZt2BocCnfs5XRETkfOdboJpZM+Al4AfOuUNVPD/FzCJmFtGdPEREpK7xJVDNrCFemD7jnHu5qnGcczOdcwHnXKBdu3Z+LFZEROS84cdVvgY8Dqxxzj0Sf0kiIiK1jx8t1MuAu4GrzCwn+jPGh/mKiIjUGnF3m3HOfQiYD7WIiIjUWrpTkoiIiA8UqCIiIj5QoIqIiPhAgSoiIuIDBaqIiIgPFKgiIiI+UKCKiIj4QIEqIiLiAwWqiIiIDxSoIiIiPlCgioiI+ECBKiIi4gMFqoiIiA9qdaAWlBRw2wu3sXD9QsrKyxJdjoiI1GO1OlDX71/Ph1s/5IbnbqDnH3vyPx/8D3uO7El0WSIiUg/V6kAdcsEQtvxgCy+Me4GerXvy08U/pfMjnbnjpTv4YMsHOOcSXaKIiNQTlojQCQQCLhKJ+D7ftfvWMj0ynbk5c8krymNg+4EEA0HuyriLFiktfF+eiIjUL2aW7ZwLVPlcXQrUmCPFR5i3ch6hSIilu5bSrFEz7hp0F8HMIBkdMmpsuSIiUrfVu0CNcc6xZOcSQktCzF81n8LSQi7rchlZmVl8u9+3SUlOqfEaRESk7qi3gVrZ/oL9zM2Zy/Ts6Ww8sJF2Tdoxeehkpgam0j2t+zmtRUREaicFaiXlrpxFXy4iHAnz2rrXcM4xpvcYgoEg3+j1DZIaJCWkLhEROf8pUKuxLW8bs5bOYtbSWXyV/xXd07ozdfhUJg2dRPum7RNdnoiInGcUqKdQUlbCK2tfIRQJ8d7m92iU1Ihb+99KViCLS7tcipklukQRETkPKFDPwOq9q5kemc4Ty57gUNEhBrUfRFZmFncOupPmKc0TXZ6IiCSQAvUsHCk+wrMrniUUCZHzVQ7NGzXn7oy7CWYGGdh+YKLLExGRBFCgxsE5x6c7PiUcCTN/5XyKyooY2XUkwUCQW/rdoq43IiL1iALVJ/sK9jE3Zy7hSJgvD35J+6btva43w6fSLa1bossTEZEapkD1Wbkr5+0v3iYUCbFw/UKcc1zf53qyAllc1+s6GlitvkWyiIhUQ4Fag7bmbWVm9kweW/oYu4/spkdaD6YFpjFp6CTaNmmb6PJERMRHCtRzoLismAVrFhCOhPn7lr/TKKkRtw24jWAgyCWdL1HXGxGROkCBeo6t2rPqWNebw8WHyeiQQVYgizsz7qRZo2aJLk9ERM6SAjVB8ovzva43S0Is272M5o2ac8/gewgGggxoPyDR5YmIyBlSoCaYc45Ptn9CKBLi+VXPU1xWzOXdLicrkMXN/W6mUVKjRJcoIiKnQYF6Htl7ZC9zcuYwPTKdTbmb6NC0A/cNu48pw6fQtWXXRJcnIiInoUA9D5W7ct7a+BbhSJiF6xdiZoztM5ZgIMi1Pa9V1xsRkfOQAvU8tyV3i9f15vPH2HNkDxe2upBpw6fxnaHfUdcbEZHziAK1liguK+blNS8TWhLig60fkJKUwm0DbiMrM4sR6SPU9UZEJMEUqLXQyj0rCS8J89TypzhcfJghFwwhK5DFHYPuoGmjpokuT0SkXlKg1mKHiw7zzIpnCEfCLN+9nBYpLbh38L0EA0H6teuX6PJEROqVGg9UM5sNjAX2OOdO+d1mCtQz55zjo20fEY6EeWH1CxSXFXNF9ysIBoJ866JvqeuNiMg5cC4C9XIgH3hSgVrz9h7Zy+zPZzM9ezqbczfToWkH7h92P1OGT6FLyy6JLk9EpM46J6d8zaw7sFCBeu6UlZfx1hde15u/rP8LZsYNfW4gKzOL0ReOVtcbERGfnSxQk891MeKfpAZJjOk9hjG9x7A5dzMzIjN4/PPHeXXdq/Rs1ZNgIMjEIRNp06RNoksVEanzzlkL1cymAFMAunbtOnzLli2+LFeOV1RaxEtrXiIcCfPh1g9JSUrh9oG3EwwEuTj9YnW9ERGJg0751lMrdq8gHPG63uQX5zOs4zCCgSATBk5Q1xsRkbNwskDVh2x12KAOgwhdH2LnD3cSGhOiuKyY+1+/n/RH0vn+m99n7b61iS5RRKTO8CVQzew54GOgr5ltN7PJfsxX/NE8pTnBzCDLpy3ng+98wPV9riccCdPvz/246omreHH1i5SUlSS6TBGRWk03dqin9hzZw+NLH2dG9gy25G2hY7OO3D/sfu4ffj+dW3ROdHkiIucl3SlJqlVWXsabG98kHAnz5oY3aWANuKHvDWQFsrj6wqvV9UZEpBIFqpyWTQc3MSPb63qzr2AfvVr3Otb1pnXj1okuT0Qk4RSockaKSot4cfWLhCNh/rHtH6Qmp3L7wNvJCmSRmZ6Z6PJERBJGgSpnbfnu5ce+9eZIyRGGdxxOVmYWtw+8nSYNmyS6PBGRc0qBKnE7VHSIp5Y9RTgSZtXeVaSlpjFx8ESmBabRt23fRJcnInJOKFDFN845Ptj6AeFImJdWv0RJeQlX97iaYCDIjX1vpGFSw0SXKCJSYxSoUiN25+/m8c+9rjdb87bSsVlHpgyfwv3D7ie9RXqiyxMR8Z0CVWpUWXkZb2x4g3AkzF83/pUG1oCbLrqJYCDI1T2u1v2DRaTOUKDKOfPlwS+PfevN/qP76dOmD8FAkHsH30urxq0SXZ6ISFwUqHLOFZYW8uLqFwktCfHx9o9pnNyYCQMnEMwMEuhU5WtRROS8p0CVhMr5KofwkjBPr3iagpICMjtlEgwEGT9wvLreiEitokCV80JeYR5PLfe63qzeu5q01DS+M+Q7TAtMo0+bPokuT0TklBSocl5xzvH+lve9rjdrXqK0vJTRF44+1vUmuUFyoksUEamSAlXOW1/lf3XsW2+2HdpGevN0pgyfwn3D7qNT806JLk9E5DgKVDnvlZaX8saGNwgtCfHWF2+RZEnc3O9mgoEgV3a/Ul1vROS8oECVWmXjgY3MiMxgds5sDhw9wEVtL2La8GncO+Re0lLTEl2eiNRjClSplY6WHOWF1S8QjoT5ZPsnNE5uzB2D7iAYCDK80/BElyci9ZACVWq9z3d9TjgS5pkVz1BQUsDF6Rd7XW8GjKdxw8aJLk9E6gkFqtQZuYW5PLXsKUKREGv3raVVaismDZ3EtMA0erXulejyRKSOU6BKneOc4+9b/k5oSYgFaxdQWl7KtT2vJRgIMrbPWHW9EZEaoUCVOm3X4V08tvQxZi6dyfZD2+ncojNThnldbzo275jo8kSkDlGgSr1QWl7KwvULCUfC/O2Lv5HcIJmbL/K63lzR/Qp1vRGRuClQpd7ZsH8DM7JnMPvz2RwsPEi/tv2YFpjGPYPvUdcbETlrClSpt46WHOX5Vc8TioT4bMdnNGnYhDsH3UkwEGRox6GJLk9EahkFqgiQvTObcCTMsyue5WjpUUakjyArM4vbBtxGanJqossTkVpAgSpSycGjB3ly2ZOEI2HW7V9H68atmTTE63rTs3XPRJcnIucxBapIFZxzvLv5XcKRMAvWLKDMlXFdz+sIBoJc3+d6db0RkX+iQBU5hZ2Hd/LY0seYkT2DnYd30qVFl2PfenNBswsSXZ6InCcUqCKnqbS8lNfXvU4oEmLRl4tIbpDMLf1uISuQxeXdLlfXG5F6ToEqchbW71/P9Mh05ubM5WDhQfq3608wEOTujLtpmdoy0eWJSAIoUEXiUFBSwPyV8wlHwizZuYSmDZt6XW8ygwy5YEiiyxORc0iBKuKTyM4I4SVhnl35LIWlhVzS+RKCgSDjBoxT1xuRekCBKuKzg0cP8sSyJwhHwqzfv542jdsc+9abC1tdmOjyRKSGKFBFaohzjsWbFhOKhHh17auUu3Ku63UdWYEsxvQeQ1KDpESXKCI+UqCKnAM7Du1g1tJZzFo6i52Hd9K1ZVemDp/K5KGT6dCsQ6LLExEfKFBFzqGSshJeW/ca4UiYdza9Q8MGDfl2/28TDAQZ2XWkut6I1GIKVJEEWbdvHdMj05mTM4e8ojwGtBvgdb0ZfDctUlokujwROUMKVJEEKygpYN7KeYSWhMjelU3Thk25K+MugoEggy8YnOjyROQ0KVBFziNLdiwhFAkxb+U8CksLubTLpWQFsri1/62kJKckujwROYmTBWoDnxbwDTNbZ2YbzexBP+YpUldlpmcy56Y57PjhDn537e/Ye2Qvdy24i86/78yDix5k08FNiS5RRM5C3C1UM0sC1gPXANuBJcAE59zq6qbxrYW6YQMsWgQ7dkB6OvTqBRs3VjwePdobr/I4o0dD794V0y5fDrm50KoVDBpU8Xx13n4bZs+G9evBDPr0gb59Yd8+WLYMdu4E56BTJ+jeHQ4cgLw8SEqCwkLYuhUOH/ambdUKevSAZs1gyxZv2qNHobwcWreGQMD7+fvf4dNPobgYUlLg6qvhu9+Fjz6Cd97x1s0M0tKgeXM4dMhbVpMm3rz37PF+ioq86bt1gxtugDvuOH5dT9yeJ26rE4efyf/mdKapp8pdOe98+Q7hSJhX172Kc45v9v4mwUCQb/b6Zr3venMmL6VTHRKqOkTEswtUNXzzZu8QsW0bJCfDkSPeYcAM2rSBRo283TK23A0bvN8jRsBll8Hrr3u79YED3vDWrb1DyYUXQsuW3jwPHPB2/x07vHHatPF2a/B29YKCimGxQ1DlWlJTvcPIDTd42+PDD2HdOjh4EEpLvRpbtoQOHaBFC8jPh02bvPm0aOFN+8AD8e/Slbdfw4beobO01KvVDEpKTn0oP515+3kIqtFTvmZ2CfCQc+666OOfADjn/qe6aXwJ1A0b4PHHvVdbixbwxRfwwQcwciT07OmFyhdfeP+hXr28cQ4d8l5NV1/tvWLLymDFCmjQwPs7I8MLvsmTq97yb78N//Ef3qtt3z5vmoIC79WZn+/Np7DQeyUkJXnDWreGjh1h7VpvXDOvppikJG868KZt0MB7PinJe4U1buy9ys28x2Vl3vNt23qv9txcby8pK/MC1zlvvLQ0b7riYu+52Do2bOj9dO8Ol1wCP/5xxZGh8vY8cVudOLy6bVTV/+Z0phEAth/azqzsWcxcOpOv8r+iW8tuXtebYZNp37R9oss7587kpXSqQ0JVh4jK8zrTXaCq4dnZ3q6enu69N45EvF2wfXvvffTRo96u262bF1AAAwd6Abtjh3dYKSz0AmXvXu/55GRo2tQ77Iwa5QXfl196YZOc7M2zQQPvfXjjxt4hoHVr73Bz6JB3KEhPh9WrvVrS073xDhzwnhs4sKLO/fu95RQXe4FaWOgdZnbu9A5JKSneuhYXw6WXwi9/efa7dOXtffQovPuuNzwjw2vnAFx5pVdrdYfy6g4pNXkIqulTvunAtkqPt0eH1axFi7ytlZbmvZp27oKf4V8AABnySURBVPQe79zpPU5L896q7d1bMU5amjfO7NkV4zZp4v3drFnFPBYtqnqZseliLb20NC+k9u3zAq+gwJtf48befzAWlBs3es+bea/6Ro2Of1xS4r1Ck5K8YbHpyssr3tomJ3s/jRp5z+3f7/3E9qLYvGJhHQv4WADHgja23IMHve0TW9cTt+eJ2+rE4dVto5PN62TTCACdW3Tmv678L7b+YCsvjHuBC1tdyE8X/5TOj3Tmjpfu4MOtH5KI6x4S5UxeSqc6JFR1iKg8rzPdBaoavnatt8u1bu0FZoMG3qEithunpHiHidhJJTPvUNG0qXcI2LfPq+XIEW/cxo29FltRkRcM77/vjVdS4o1n5h0Sysu9n6NHvWnKyiqC1sw7BMVqycvzDndm3vvxzz7zll9Y6M2rrMz7nZ/vtRV27PCmjU1fWurVsmZNfLt05e29fr3Xom7dGj7+2Pvdpo03/GSH8uqWn6hDkC+foZ4OM5tiZhEzi+yNvfWKx44d3n81JjfX22q5uRXDCgu9V2JlLVp452JatPDGbdzYG56a6j1u0cLb46qybZu3jIKCimBzzltG7FxFUpIXfLG/y8q8OmLjOlfRCo39xIIwKcn7HeunGDtwxsIy9rdz3nyLirzfseVUDtRYazU2LLbcE7dNbF1P3J4nbqsTh1e3jU42r5NNI8dpmNSQW/vfyuJ7F7M6azXBQJA3NrzByDkjyZieQXhJmMNFhxNdZo07k5fSieMePHj8IaGqQ0TleZ3pLlDV8Pz8il2woMD7nZzsBWDsPW1JiRd2J45XWloRlJXfX5eXe881aeKFb2mpt7vHpont/s550zds6E1fWuqNEwvXWC3FxRX1lpZ682zSxBuenFxxIqukxDssFhdXHHaSkrzHTZp4oR/PLl15ex886C0rdkKuceOKQzJUfyivbvmJOgT5Eag7gC6VHneODjuOc26mcy7gnAu0a9cu/qWmp3uvhJjYnpKWVjEsNdV7S1XZoUPQpUvFuZDYK62w0Ht86JD3+WdVunTxlhF79UHF285YK7KsrOJDgFjYpaZWjBvbQ2J/x1qkZt74lU8JVw7WWBjGAjd2/iW2N8VOHcemibWCY8Mqh3LlbRNb1xO354nb6sTh1W2jk83rZNNItfq168cfvvkHdvxwB4/d8BgNGzQk640sOj3Siay/ZLFi94pEl1hjzuSldOK4rVodf0io6hBReV5nugtUNTzW8gPvMAHe4SB2cigWeLGTSpXHS072noOKlmJs109O9oK3RQvv76Skimliu3/sU6GSEm/65GRvnKSkinZD7PPRmORkb56xNkIsoGN1xlqtscNOrPVaUOC1auPZpStv71atvGUdPer9ffRoxSEZqj+UV7f8RB2C/AjUJUBvM+thZo2A24HXfJjvyY0e7Z1Hyc31gqJTJ+9xp07e49xc74OLdu0qxsnN9caZNKli3IIC7+/8/Ip5xD4BP1FsupQU7+1Sbq736mvb1nvFNWnize/oUe9VGguwXr2ObyXGWo+xxw0bHr8HxaZr0MA7TxFr/ZaWVgR5mzbeT4MGFW93Kwdqs2befGJ7Wmxvji23VStv+8TW9cTteeK2OnF4ddvoZPM62TRySk0bNWXysMlkT8nmk8mf8O1+32b257PJmJ7ByDkjeXbFsxSVFp16RrXImbyUTnVIqOoQUXleZ7oLVDX8oou8Xe7AAe96w/Jy71AR242LirzDRHp6xa7YooXX2mvUyDuUgBdWRUXerp2c7B1yDh2Cyy/3xosFr3PeISF2SrZxY2+aWIjGTlD16lVRS8uWFS3ptDS4+GJv+bHWaKwV2qyZF2rp6RWnlIuKvHoOHYJ+/eLbpStv7z59vE+wDhzwLu04cMB73KfPyQ/l1S0/UYcgX/qhmtkY4FEgCZjtnHv4ZOP7fpXvzp3eXhK7hC/2uPKlYZWHVb48b8UK7xxD69bep/NnepVv377ef33fPu+T9Nhld506VVxiF/s8tbDQO0906NDxV/k2b+5dGrhrlxfIZ3KV7+LFFcts1crbC2JX+TZt6v3s3Qu7d1d89tu9O4wdW/1VvtVtqxOHn8n/Rlf51oj9BfuZmzOXcCTMFwe/oF2TdkweOpmpgal0T+ue6PJ8cSYvpVMdEqo6RMSzC1Q1PHaV7/btXjhVdZVv8+ZeLeDV49zpXeWbllYR2B9/7C3DrGIc5yqu8m3bFrp2rTgEVa6luqt8c3MrWrgtW8IFF3i11vRVvjt3ekEd+zQr1g4oLT31odyP182Z0I0dROq4clfOoi8XEVoS4vX1r+OcY0zvMWRlZnFdz+vqfdcbEb8oUEXqkW1525iZPZPHPn+Mr/K/ontad6YNn8akoZNo19SH6xdE6jEFqkg9VFJWwitrXyEUCfHe5vdolNSIcf3HEQwEubTLpfrWG5GzoEAVqedW713N9Mh0nlj2BIeKDpHRIYNgIMidg+6keUrzRJcnUmsoUEUEgPzifJ5b8RyhSIicr3Jo3qg5d2fcTTAzyMD2AxNdnsh5T4EqIsdxzvHpjk8JLQnx/KrnKSorYmTXkWRlZnFLv1tolNTo1DMRqYcUqCJSrX0F+5jz+RymZ0/ny4Nf0r5pe+4beh9Thk+hW1q3RJcncl5RoIrIKZW7ct7+4m1CkRAL1y8E4Pre1xMMBLmu13U0sHN2p1KR85YCVUTOyNa8rczMnsmspbPYc2QPF7a6kKnDpzJp6CTaNmmb6PJEEkaBKiJnpbismAVrFhCKhHh/y/ukJKUwbsA4sgJZfK3z19T1RuodBaqIxG3VnlWEI2GeXPYkh4sPM7jDYLIys7hj0B00a9Qs0eWJnBM1/X2oIlIPDGg/gD+N+RM7f7STGWNnADB14VTSH0nngTceYPXe1QmuUCSx1EIVkbPinOOT7Z8Qinhdb4rLihnVbRTBQJCb+92srjdSJ+mUr4jUqL1H9jInZw7TI9PZlLuJDk07cN8wr+tN15ZdE12eiG8UqCJyTpS7ct7a+BahSIi/rP8LZsbYPmPJCmRxTc9r1PVGaj0Fqoicc5tzNzMzeyaPf/44e47soWernkwLTOM7Q75DmyZtEl2eyFlRoIpIwhSXFfPympcJLQnxwdYPSElKYfzA8QQDQUakj1DXG6lVFKgicl5YuWcl4SVhnlr+FIeLDzP0gqEEA0HuGHQHTRs1TXR5IqekQBWR88rhosM8s+IZQktCrNizghYpLbh38L0EA0H6teuX6PJEqqVAFZHzknOOj7Z9RCgS4sXVL1JcVswV3a8gK5DFty76Fg2TGia6RJHjKFBF5Ly358geZn8+mxnZM9icu5kLml3A/cPuZ8rwKXRu0TnR5YkAClQRqUXKyst464u3CC0J8caGNzAzbux7I8FAkNEXjlbXG0koBaqI1EqbDm461vVmb8FeerXuxbTh05g4ZKK63khCKFBFpFYrKi3ipTUvEVoS4h/b/kFqcirjB4wnKzOLzE6Z6noj54wCVUTqjOW7lzM9Mp2nlj9FfnE+wzoOIyuQxYRBE2jSsEmiy5M6ToEqInXO4aLDPL38aUKRECv3rKRlSksmDpnItMA0Lmp7UaLLkzpKgSoidZZzjn9s+wehJV7Xm5LyEq7sfiVZmVnc1Pcmdb0RXylQRaRe2J2/+1jXmy15W+jYrCP3D7uf+4ffr6434gsFqojUK2XlZby58U1CS0L8deNfaWANuLHvjWRlZnFVj6vU9UbOmgJVROqtLw9+eazrzb6CffRu3ZtgIMjEIRNp1bhVosuTWkaBKiL1XlFpES+ufpFQJMRH2z4iNTmVCQMnEAwEyUzPTHR5UksoUEVEKln21TLCkTBPL3+aIyVHGN5xOFmZWdw+8HZ1vZGTUqCKiFThUNEhnlr2FOFImFV7V5GWmsbEwV7Xm75t+ya6PDkPKVBFRE7COccHWz8gtCTEy2tepqS8hKt7XE1WZhY39r2R5AbJiS5RzhMKVBGR07Q7fzePf/44M7JnsDVvK52ad2LKsCncP/x+OjXvlOjyJMEUqCIiZ6isvIw3NrxBKBLirY1v0cAa8K2LvkUwEOSqHlfp/sH1lAJVRCQOXxz4ghnZM5j9+Wz2H91PnzZ9CAaC3Dv4XnW9qWcUqCIiPigsLeSFVS8QjoT5ePvHNE5uzISBE8jKzGJ4p+GJLk/OAQWqiIjPcr7KIbwkzNMrnqagpIDMTplkZWYxfsB4GjdsnOjypIYoUEVEakheYR5PLX+K0JIQa/atoVVqK74z5DtMC0yjd5veiS5PfHayQI3rhpZmNs7MVplZuZlVuQARkbqsZWpLvnvxd1mVtYr37n2Pa3pewx8/+yN9/tSHa5+6lgVrFlBaXproMuUciPcO0SuBW4D3fahFRKTWMjNGdR/F/Fvns+3/bOOXV/6StfvWcsvzt9D90e7899//m52Hdya6TKlBcQWqc26Nc26dX8WIiNQFFzS7gJ9f/nO+/P6XvDL+FQa2H8h/vvefdHu0G+NeGMe7m94lER+3Sc3SdxiJiNSQ5AbJ3HTRTfz1rr+y4YEN/GDED1i8aTFXPXkV/UP9+eOnfyS3MDfRZYpPTnlRkpktAi6o4qmfOedejY7zHvBj51y1VxqZ2RRgCkDXrl2Hb9my5WxrFhGptY6WHOWF1S8QWhLi0x2f0qRhE+4YeAfBzCDDOg5LdHlyCjV+le/pBGpluspXRASW7lpKeEmYZ1c+S0FJASPSRxAMBLltwG3qenOeqrGrfEVE5OwN6ziMWTfOYscPd/CHb/yBvKI8Jr46kc6/78yP//ZjNh7YmOgS5QzE1UI1s5uB/we0A3KBHOfcdaeaTi1UEZF/5pzjvc3vEY6EWbDW625zbc9ryQpkcX2f6/WtN+cB3dhBRKSW2XV4F48tfYwZ2TPYcXgHnVt0Zurwqdw37D4uaFbVZS1yLihQRURqqdLyUhauX0hoSYi3v3yb5AbJ3HzRzWRlZjGq2yh96805pkAVEakDNuzfwPTIdObkzOFg4UH6te1HMBDknsH30DK1ZaLLqxcUqCIidcjRkqPMXzWfcCTMZzs+o0nDJtw56E6CgSBDOw5NdHl1mgJVRKSOyt6ZTTgS5tkVz3K09Chf6/w1sgJZjBswjtTk1ESXV+coUEVE6riDRw/y5LInCUfCrNu/jjaN2zBp6CSmDp9Kz9Y9E11enaFAFRGpJ5xzvLv5XUJLQryy9hXKXBnX9byOrMwsru99PUkNkhJdYq2mQBURqYd2HNrBY0sfY+bSmew8vJMuLbowdfhUJg+brK43Z0mBKiJSj5WUlfD6+tcJR8Is+nIRyQ2S+Xa/bxMMBLm82+XqenMGFKgiIgLA+v3rj3W9yS3MpX+7/gQDQe7OuFtdb06DAlVERI5TUFLA/JXzCUVCRHZGaNqwKXdl3EUwEGTwBYMTXd55S4EqIiLVWrJjCeFImOdWPkdhaSGXdL6ErMwsbu1/q7renECBKiIip3Tg6AGeyHmCcCTMhgMbaNO4DZOHTmZqYCoXtrow0eWdFxSoIiJy2spdOYs3LSYcCfPq2lcpd+V8o9c3CAaCjOk9pl53vVGgiojIWdlxaAezls5iZvZMduXvolvLbkwZPoXJQyfToVmHRJd3zilQRUQkLiVlJby27jVCkRCLNy2mYYOG3Nr/VoKBIF/v+vV60/VGgSoiIr5Zu28t0yPTmZszl7yiPAa2H0gwEOSujLtokdIi0eXVKAWqiIj47kjxEeatnEcoEmLprqU0a9SMuwbdRTAzSEaHjESXVyMUqCIiUmOccyzZ6XW9mbdyHoWlhVzW5TKCgSC39r+VlOSURJfoGwWqiIicEweOHmBuzlzCkTAbD2ykXZN2x771pkerHokuL24KVBEROafKXTnvfPkOoUiI19a9hnOOMb3HEAwE+Uavb9TarjcKVBERSZhteduYtXQWs5bO4qv8r+ie1p2pw6cyaegk2jdtn+jyzogCVUREEq6krIRX1r5COBLm3c3v0rBBQ8YNGEcwEOSyLpfViq43ClQRETmvrNm7humR6Tyx7AnyivIY1H7Qsa43zVOaJ7q8ailQRUTkvHSk+AjPrXyO0JIQn3/1Oc0aNePujLsJBoIM6jAo0eX9EwWqiIic15xzfLbjM0KREPNXzqeorIivd/06WYEsbul3y3nT9UaBKiIitcb+gv3MyZnD9Mh0vjj4Be2atOO+YfcxZfgUuqd1T2htClQREal1yl05b3/xNuFImNfXv45zjuv7XE8wEOS6ntclpOuNAlVERGq1rXlbmZXtdb3ZfWQ3PdJ6HOt6065pu3NWhwJVRETqhOKy4mNdb97b/B6Nkhoxrv84sjKzuKTzJTXe9UaBKiIidc7qvauPdb05VHSIjA4ZZAWyuDPjTpo1alYjy1SgiohInZVfnM+zK54lHAmT81UOzRs1557B9xAMBBnQfoCvy1KgiohIneec45PtnxCOhHl+1fMUlRVxebfLefaWZ0lvke7LMk4WqA18WYKIiEiCmRmXdLmEJ29+ku0/3M5vRv+Gcld+zu4XrBaqiIjIaVILVUREpIYpUEVERHygQBUREfGBAlVERMQHClQREREfxBWoZva/ZrbWzJab2QIzS/OrMBERkdok3hbq28BA51wGsB74SfwliYiI1D5xBapz7m/OudLow0+AzvGXJCIiUvv4+RnqJOBNH+cnIiJSaySfagQzWwRcUMVTP3POvRod52dAKfDMSeYzBZgC0LVr17MqVkRE5Hx1ykB1zo0+2fNmNhEYC1ztTnIfQ+fcTGAmeLcePLMyRUREzm+nDNSTMbNvAP8GjHLOFfhTkoiISO0T72eofwKaA2+bWY6ZTfehJhERkVonrhaqc66XX4WIiIjUZrpTkoiIiA8UqCIiIj5QoIqIiPhAgSoiIuIDBaqIiIgPFKgiIiI+UKCKiIj4QIEqIiLiAwWqiIiIDxSoIiIiPlCgioiI+ECBKiIi4gMFqoiIiA8UqCIiIj5QoIqIiPhAgSoiIuIDBaqIiIgPFKgiIiI+UKCKiIj4QIEqIiLiAwWqiIiIDxSoIiIiPlCgioiI+ECBKiIi4gMFqoiIiA8UqCIiIj5QoIqIiPhAgSoiIuIDBaqIiIgPFKgiIiI+UKCKiIj4QIEqIiLiAwWqiIiIDxSoIiIiPlCgioiI+ECBKiIi4gMFqoiIiA8UqCIiIj5QoIqIiPggrkA1s1+a2XIzyzGzv5lZJ78KExERqU3ibaH+r3Muwzk3BFgI/MKHmkRERGqduALVOXeo0sOmgIuvHBERkdopOd4ZmNnDwD1AHnBl3BWJiIjUQubcyRuVZrYIuKCKp37mnHu10ng/AVKdc/9ZzXymAFOiD/sC686q4sRrC+xLdBE+0zrVDnVtnera+oDWqbaIZ526OefaVfXEKQP1dJlZV+AN59xAX2Z4njKziHMukOg6/KR1qh3q2jrVtfUBrVNtUVPrFO9Vvr0rPbwJWBtfOSIiIrVTvJ+h/srM+gLlwBZgWvwliYiI1D5xBapz7tt+FVKLzEx0ATVA61Q71LV1qmvrA1qn2qJG1sm3z1BFRETqM916UERExAcK1LNkZg+Y2VozW2Vmv0l0PX4xsx+ZmTOztomuJR5m9r/R/89yM1tgZmmJrulsmdk3zGydmW00swcTXU+8zKyLmb1rZquj+8/3E12TX8wsycw+N7OFia7FD2aWZmYvRvelNWZ2SaJripeZ/Z/o626lmT1nZql+zVuBehbM7Eq8q5oHO+cGAL9NcEm+MLMuwLXA1kTX4oO3gYHOuQxgPfCTBNdzVswsCfgz8E2gPzDBzPontqq4lQI/cs71B74G/EsdWKeY7wNrEl2Ej/4A/NU5dxEwmFq+bmaWDnwPCES7eCYBt/s1fwXq2QkCv3LOFQE45/YkuB6//B74N+rALSSdc39zzpVGH34CdE5kPXG4GNjonPvSOVcMzMN7M1drOed2OeeWRv8+jHeQTk9sVfEzs87A9cBjia7FD2bWErgceBzAOVfsnMtNbFW+SAYam1ky0ATY6deMFahnpw8w0sw+NbO/m1lmoguKl5ndBOxwzi1LdC01YBLwZqKLOEvpwLZKj7dTB8Inxsy6A0OBTxNbiS8exXtDWp7oQnzSA9gLzImexn7MzJomuqh4OOd24J1R3ArsAvKcc3/za/5x38u3rjrZLRfxtltrvNNVmcDzZnahO88vmT7FOv0U73RvrXE6t8U0s5/hnWJ85lzWJqdmZs2Al4AfnPBFG7WOmY0F9jjnss3sikTX45NkYBjwgHPuUzP7A/Ag8B+JLevsmVkrvDM8PYBc4AUzu8s597Qf81egVsM5N7q658wsCLwcDdDPzKwc796Qe89VfWejunUys0F4L7BlZgbe6dGlZnaxc+6rc1jiGTnZ/wjAzCYCY4Grz/c3OyexA+hS6XHn6LBazcwa4oXpM865lxNdjw8uA240szFAKtDCzJ52zt2V4LrisR3Y7pyLnT14ES9Qa7PRwCbn3F4AM3sZuBTwJVB1yvfsvEL0m3XMrA/QiFp882jn3ArnXHvnXHfnXHe8HWnY+Rymp2Jm38A7/Xajc64g0fXEYQnQ28x6mFkjvAsoXktwTXEx713b48Aa59wjia7HD865nzjnOkf3n9uBxbU8TInu/9uid8MDuBpYncCS/LAV+JqZNYm+Dq/Gxwut1EI9O7OB2Wa2EigG7q3FLaC66k9ACvB2tNX9iXOu1t0a0zlXambfBd7CuyJxtnNuVYLLitdlwN3ACjPLiQ77qXPujQTWJFV7AHgm+mbuS+A7Ca4nLtFT1y8CS/E+CvocH++apDsliYiI+ECnfEVERHygQBUREfGBAlVERMQHClQREREfKFBFRER8oEAVERHxgQJVRETEBwpUERERH/x/xigqRf0ZEQgAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sqaRSVARkbAb",
        "colab_type": "code",
        "outputId": "58402c68-0f82-44e7-d625-340b81d212a8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 352
        }
      },
      "source": [
        "plot_LDA(x2_lda, ['Versicolor', 'Virginica'], lda2)"
      ],
      "execution_count": 115,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ed4YcgDwqGME",
        "colab_type": "code",
        "outputId": "049cd40d-4732-42aa-d8b5-e7a0a6290990",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 352
        }
      },
      "source": [
        "plot_LDA(x3_lda, ['Setosa', 'Virginica'], lda3)"
      ],
      "execution_count": 116,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mBdYVmyFqSYd",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "tsne = TSNE(n_components=2, metric='euclidean')\n",
        "X_tsne1 = tsne.fit_transform(X)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0aN6KjsoxDrV",
        "colab_type": "code",
        "outputId": "9eb3e854-512f-479e-bb72-232ff593ac79",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "X_tsne1.shape"
      ],
      "execution_count": 70,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(150, 2)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 70
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "aBaNCgSIxFfs",
        "colab_type": "code",
        "outputId": "c829de79-0eeb-4896-90f0-ab03cf3261aa",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 366
        }
      },
      "source": [
        "data_plot(X_tsne1, dataset.target_names, 'TSNE Components - Euclidean metric')"
      ],
      "execution_count": 71,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eBOs99i5xSIt",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "tsne = TSNE(n_components=2, metric='chebyshev')\n",
        "X_tsne2 = tsne.fit_transform(X)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GHUAIVkhyLOh",
        "colab_type": "code",
        "outputId": "2a71d76a-1904-437f-8da5-0e6c1aa3ec19",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 366
        }
      },
      "source": [
        "data_plot(X_tsne2, dataset.target_names, 'TSNE Components - Chebyshev metric')"
      ],
      "execution_count": 73,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VdmlN3h5yxQn",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "tsne = TSNE(n_components=2, metric='mahalanobis')\n",
        "X_tsne3 = tsne.fit_transform(X)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3YmiQCYO08Ie",
        "colab_type": "code",
        "outputId": "90e78eb6-3880-4325-bdc4-0827d9967849",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 366
        }
      },
      "source": [
        "data_plot(X_tsne3, dataset.target_names, 'TSNE Components - Mahalanobis metric')"
      ],
      "execution_count": 76,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1YUVDMI71GJl",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from mpl_toolkits.mplot3d import Axes3D\n",
        "def plot_3D(X, y, title):\n",
        "    fig = plt.figure()\n",
        "    ax = plt.axes(projection='3d')\n",
        "    ax.scatter(X[0:50, 0], X[0:50, 1], X[0:50, 2], color='r', label=y[0])\n",
        "    ax.scatter(X[50:100, 0], X[50:100, 1], X[50:100, 2], color='b', label=y[1])\n",
        "    ax.scatter(X[100:150, 0], X[100:150, 1], X[100:150, 2], color='g', label=y[2])\n",
        "    ax.set_xlabel('Component 1')\n",
        "    ax.set_ylabel('Component 2')\n",
        "    ax.set_zlabel('Component 3')\n",
        "    ax.set_title(title)\n",
        "    ax.legend()\n",
        "    plt.show()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "f2IhLWRB3BAp",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "tsne = TSNE(n_components=3, metric='euclidean')\n",
        "X_tsne_3D_1 = tsne.fit_transform(X)\n",
        "\n",
        "tsne = TSNE(n_components=3, metric='chebyshev')\n",
        "X_tsne_3D_2 = tsne.fit_transform(X)\n",
        "\n",
        "tsne = TSNE(n_components=3, metric='mahalanobis')\n",
        "X_tsne_3D_3 = tsne.fit_transform(X)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EIF9hutw3ajK",
        "colab_type": "code",
        "outputId": "132db13a-9215-4fd3-bed2-f40feff6e9f3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "X_tsne_3D_1.shape"
      ],
      "execution_count": 39,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(150, 3)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 39
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7EtYa_845SGK",
        "colab_type": "code",
        "outputId": "f0562104-9ba7-45cf-fa46-bf98ceccd2b7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        }
      },
      "source": [
        "X_3D_1 = pd.DataFrame(X_tsne_3D_1, columns=['Component 1', 'Component 2', 'Component 3'])\n",
        "X_3D_1['species'] = dataset.target\n",
        "X_3D_1['species']=X_3D_1['species'].apply(lambda x: dataset['target_names'][x])\n",
        "X_3D_1.head()\n",
        "\n",
        "X_3D_2 = pd.DataFrame(X_tsne_3D_2, columns=['Component 1', 'Component 2', 'Component 3'])\n",
        "X_3D_2['species'] = dataset.target\n",
        "X_3D_2['species']=X_3D_2['species'].apply(lambda x: dataset['target_names'][x])\n",
        "X_3D_2.head()\n",
        "\n",
        "X_3D_3 = pd.DataFrame(X_tsne_3D_3, columns=['Component 1', 'Component 2', 'Component 3'])\n",
        "X_3D_3['species'] = dataset.target\n",
        "X_3D_3['species']=X_3D_3['species'].apply(lambda x: dataset['target_names'][x])\n",
        "X_3D_3.head()"
      ],
      "execution_count": 40,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Component 1</th>\n",
              "      <th>Component 2</th>\n",
              "      <th>Component 3</th>\n",
              "      <th>species</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>-75.298409</td>\n",
              "      <td>-59.115108</td>\n",
              "      <td>-36.923901</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>24.487522</td>\n",
              "      <td>-37.173664</td>\n",
              "      <td>-84.411362</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>-18.730907</td>\n",
              "      <td>43.184380</td>\n",
              "      <td>-85.154793</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>-27.960690</td>\n",
              "      <td>32.175316</td>\n",
              "      <td>-158.877121</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>-78.852112</td>\n",
              "      <td>53.942646</td>\n",
              "      <td>-54.085155</td>\n",
              "      <td>setosa</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   Component 1  Component 2  Component 3 species\n",
              "0   -75.298409   -59.115108   -36.923901  setosa\n",
              "1    24.487522   -37.173664   -84.411362  setosa\n",
              "2   -18.730907    43.184380   -85.154793  setosa\n",
              "3   -27.960690    32.175316  -158.877121  setosa\n",
              "4   -78.852112    53.942646   -54.085155  setosa"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 40
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UeLC2nNU45kO",
        "colab_type": "code",
        "outputId": "74bc0b91-5630-42a3-cec1-a7e62e934d2d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        }
      },
      "source": [
        "import plotly.express as px\n",
        "fig = px.scatter_3d(X_3D_1, x='Component 1', y='Component 2', z='Component 3', color='species')\n",
        "fig.show()"
      ],
      "execution_count": 41,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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        "fig.show()"
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      "execution_count": 42,
      "outputs": [
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        "fig.show()"
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      "execution_count": 43,
      "outputs": [
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