{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GMM\n", "\n", "It is a probabilistic approach to clustering addressing many of these problems. In this approach we describe each cluster by its centroid (mean), covariance , and the size of the cluster(Weight)\n", "\n", "### Aproach\n", "\n", "* Rather than identifying clusters by “nearest” centroids like k means, we fit a set of k gaussians to the data. \n", "* Then we estimate gaussian distribution parameters such as mean and Variance for each cluster and weight of a cluster. \n", "* After learning the parameters for each data point we can calculate the probabilities of it belonging to each of the clusters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How do we estimate GD params\n", "\n", "* Expectation maximization is the technique most commonly used to estimate the mixture model's parameters. \n", "* In frequentist probability theory, models are typically learned by using maximum likelihood estimation techniques, which seek to maximize the probability, or likelihood, of the observed data given the model parameters. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Well it's hard to visualize and grab these concepts in first shot. Here is some material for deep dive in gmm\n", "* http://www.cse.iitm.ac.in/~vplab/courses/DVP/PDF/gmm.pdf" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set(style=\"white\", color_codes=True)\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "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>SepalLengthCm</th>\n", " <th>SepalWidthCm</th>\n", " <th>PetalLengthCm</th>\n", " <th>PetalWidthCm</th>\n", " <th>Species</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>75</th>\n", " <td>6.6</td>\n", " <td>3.0</td>\n", " <td>4.4</td>\n", " <td>1.4</td>\n", " <td>Iris-versicolor</td>\n", " </tr>\n", " <tr>\n", " <th>36</th>\n", " <td>5.5</td>\n", " <td>3.5</td>\n", " <td>1.3</td>\n", " <td>0.2</td>\n", " <td>Iris-setosa</td>\n", " </tr>\n", " <tr>\n", " <th>129</th>\n", " <td>7.2</td>\n", " <td>3.0</td>\n", " <td>5.8</td>\n", " <td>1.6</td>\n", " <td>Iris-virginica</td>\n", " </tr>\n", " <tr>\n", " <th>73</th>\n", " <td>6.1</td>\n", " <td>2.8</td>\n", " <td>4.7</td>\n", " <td>1.2</td>\n", " <td>Iris-versicolor</td>\n", " </tr>\n", " <tr>\n", " <th>83</th>\n", " <td>6.0</td>\n", " <td>2.7</td>\n", " <td>5.1</td>\n", " <td>1.6</td>\n", " <td>Iris-versicolor</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm Species\n", "75 6.6 3.0 4.4 1.4 Iris-versicolor\n", "36 5.5 3.5 1.3 0.2 Iris-setosa\n", "129 7.2 3.0 5.8 1.6 Iris-virginica\n", "73 6.1 2.8 4.7 1.2 Iris-versicolor\n", "83 6.0 2.7 5.1 1.6 Iris-versicolor" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_csv('my_machine-learning/datasets/iris.csv')\n", "data = data.drop('Id', axis=1) # get rid of the Id column - don't need it\n", "data.sample(5)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "X = data.iloc[:,0:4]\n", "y = data.iloc[:,-1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Standard Scaling" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "from sklearn import preprocessing\n", "scaler = preprocessing.StandardScaler()\n", "\n", "scaler.fit(X)\n", "X_scaled_array = scaler.transform(X)\n", "X_scaled = pd.DataFrame(X_scaled_array, columns = X.columns)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans\n", "\n", "kmean = KMeans(n_clusters=3)\n", "y_kmeans = kmean.fit_predict(X_scaled)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Adjusted Rand score\n", "\n", "* you can't just compare the SpeciesId with the cluster numbers, because they are both arbitrarily assigned integers.\n", "* But you can use the *adjusted Rand score* to quantify the goodness of the clustering, as compared with SpeciesId (the true labels).\n", "\n", "* e.g. this will give a perfect score of 1.0, even though the labels are reversed - adjusted_rand_score([0,0,1,1], [1,1,0,0]) # => 1.0\n", "\n", "see http://scikit-learn.org/stable/modules/generated/sklearn.metrics.adjusted_rand_score.html\n" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.6201351808870379" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics.cluster import adjusted_rand_score\n", "\n", "# first let's see how the k-means clustering did - \n", "score = adjusted_rand_score(y, y_kmeans)\n", "score" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "from sklearn.mixture import GaussianMixture\n", "\n", "gmm = GaussianMixture(n_components=3)\n", "y_gmm = gmm.fit_predict(X_scaled)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* GMM tries to fit normally distributed clusters, which is probably the case with this data,\n", "* so it fit it better. k-means is biased towards spherically distributed clusters." ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9038742317748124" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "score = adjusted_rand_score(y, y_gmm)\n", "score" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* **Its impossible to create 4d graph without some dimensionality reduction technique like pca** \n", "* So we will create one after learning pca" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Part 2" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from sklearn.cluster import KMeans\n", "import seaborn as sns; sns.set()\n", "import numpy as np\n", "\n", "from sklearn.datasets import make_blobs, make_circles\n", "X, y_true = make_blobs(n_samples=700, centers=4,cluster_std=0.5, random_state=2019)\n", "X = X[:, ::-1]\n", "\n", "from sklearn.mixture import GaussianMixture as GMM\n", "gmm = GMM(n_components=4).fit(X)\n", "\n", "labels = gmm.predict(X)\n", "plt.figure(figsize=(10,6))\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, s=50, cmap='viridis')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Figure size 432x288 with 0 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.savefig('gmm.jpg')" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 0.55 0. 0.45]\n", " [1. 0. 0. 0. ]\n", " [1. 0. 0. 0. ]\n", " [1. 0. 0. 0. ]\n", " [0. 0.57 0. 0.43]\n", " [0. 0. 1. 0. ]\n", " [1. 0. 0. 0. ]\n", " [1. 0. 0. 0. ]\n", " [1. 0. 0. 0. ]\n", " [0. 0. 1. 0. ]]\n" ] } ], "source": [ "probs = gmm.predict_proba(X)\n", "print(probs[:10].round(2))" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "size = probs.max(1)\n", "plt.figure(figsize=(10,6))\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='viridis', s=size)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "from matplotlib.patches import Ellipse\n", "\n", "def draw_ellipse(position, covariance, ax=None, **kwargs):\n", " ax = ax or plt.gca()\n", " \n", " if covariance.shape == (2, 2):\n", " U, s, Vt = np.linalg.svd(covariance)\n", " angle = np.degrees(np.arctan2(U[1, 0], U[0, 0]))\n", " width, height = 2 * np.sqrt(s)\n", " else:\n", " angle = 0\n", " width, height = 2 * np.sqrt(covariance)\n", "\n", " for nsig in range(1, 4):\n", " ax.add_patch(Ellipse(position, nsig * width, nsig * height, angle, **kwargs))\n", "\n", "def plot_gmm(gmm, X, label=True, ax=None):\n", " ax = ax or plt.gca()\n", " labels = gmm.fit(X).predict(X)\n", " \n", " if label:\n", " ax.scatter(X[:, 0], X[:, 1], c=labels, s=4, cmap='viridis', zorder=2)\n", " else:\n", " ax.scatter(X[:, 0], X[:, 1], s=4, zorder=2)\n", " ax.axis('equal')\n", " \n", " w_factor = 0.2 / gmm.weights_.max()\n", " for pos, covar, w in zip(gmm.means_, gmm.covariances_ , gmm.weights_):\n", " draw_ellipse(pos, covar, alpha=w * w_factor)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(13)\n", "X_stretched = np.dot(X, rng.randn(2, 2))\n", "gmm = GMM(n_components=4, covariance_type='full', random_state=42)\n", "plt.figure(figsize=(10,6))\n", "plot_gmm(gmm, X_stretched)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 576x360 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_moons\n", "moon,y = make_moons(100, noise=.04, random_state=0)\n", "plt.figure(figsize=(8,5))\n", "plt.scatter(x=moon[:, 0], y=moon[:, 1])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 576x360 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gmm2 = GMM(n_components=2, covariance_type='full', random_state=0)\n", "plt.figure(figsize=(8,5))\n", "plot_gmm(gmm2, moon)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 576x360 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gmm10 = GMM(n_components=10, covariance_type='full', random_state=0)\n", "plt.figure(figsize=(8,5))\n", "plot_gmm(gmm10, moon, label=False)\n" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "image/png": 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/qKgw5fc4LRQa5nQTPIl+s4++s89NfTdr6jDNmnqh082wxE395jX0nT1e7jfbQVhJSYl2794dfdzU1KTi4uI+x73yyiu65ZZboo9PnDihl156STfddJOk08Fbbm5uyr+/ublVPT3h5Ae6BCM69tBv9tF39tF39tBv9tF39nih33JyAqYDR7Zzwq666irV19fr2LFjamtr07Zt2zRlypSYY8LhsBoaGnT55ZdHnxs6dKieeuopvf3225KkF154wdZIGAAAgJfZHgkbPXq0Fi1apOrqanV2duq6667T+PHjtWDBAi1cuFCXXnqpjh07pry8POXnf76KJzc3Vw8//LDuuecetbe367zzztOKFSsG5MMAAAB4RSAcDntnTq8XpiOzA/1mH31nH31nD/1mH31njxf6LdF0JNsWwbb4/ezGjynSOwebWcEFAIAFBGGwxWg/u9fePBR9nf3tAABIjL0jYYvRfnbx2N8OAABzjITBFqv71rG/HZB+8akBpAIA3kAQBkt6X+QLhwQVkGRlWQT72wHpZZQaQCoA4A1MRyKpyEU+MqrV2tZlKQBjfzsg/YxSA0gFALyBkTAkZSX/KycglV32BVZHAmmQaLrRbMqfVADA/QjCkJSVi3lPWLqxfGwGWgNkl2TTjUXD8w3/RkkFANyP6UgkZeVizgUfSI9k041VZWM0KBh7KScVAPAGgjAkZXSR740LPpA+yaYbJ5eWaF7F2OiNUNHwfM2rGEsqAOABTEciqcjFvPfqyHA4rJPt3eR+AWmWaLoxPldswcyL+VsEPIQgDJZMLi3h4g5kUO8AK96gYI7GjymiNAXgcUxHAoDLxJeF6a1oeL6uvrRE2986RGkKwOMIwgDAZczKwkSm/3fsbVSPSbE+SlMA3sF0JAC4TKJk/DWvvJ+wbh8rlYHk3LLVFyNhAOAyZoFUQKd3rDDDSmUgufjp/kg+ZX1DY8bbQhAGAC5jVhYm0XZhOQFRmgKwwE1bfTEdCQAuE18WJicg0xywiJsrKU8BWOGmrb4IwgDAhXqXhZl//6sJjy0YnEsABljkpq2+mI4EAJdL9OUwKJijOdMuymBrAG9z01ZfjIQBgIvVNzSqo7Pb8LXCIUHdcM1XbI2CuWV1GJBp8dP9Tp7/BGEA4FKRVVzxScQFg3M1Z9pFtr804n8u1faRbdyyCwzTkQDgUmZFWwcPCvbrC8RNq8OAbMZImI8x3QB4W7pWcblpdRiQzRgJ8yk3FaMDYI9ZQn5/V3Gl6+cCSA1BmE8x3QB4n51VXPUNjaqp3aH597+qmtodhjdeblodBmQzpiN9iukGwPtSXcVlNeHeTavDgGxGEOZTbipGB8C+VFZxJRoBj/8ZblkdBmQzgjCfqiob02dpO9MNgL8lGwFnsQ7gLgRhPsV0A5B9Eo2AUxsMcB+CMB9jugHwDyujWIlGwFOZqgSQGayOBACXs1pyZnJpieZVjI3mfhYNz9e8irGaXFrCYh3AhRgJAwCXs5twHxk9e3LTPuUEpJ5w35/NYh3AOf0KwjZt2qTHH39cXV1dmjdvnubOnRvz+qOPPqqXXnpJw4cPlyT94z/+o+bOnatDhw6ppqZGzc3NOv/887Vy5UoVFBT0pym+QwItgAg7o1jxOWBGARiLdQBn2Q7CDh8+rIceekjr1q3ToEGDdP3112vixIm64IILose8++67evDBB3X55ZfHvPfee+/VnDlzNGPGDD322GOqra1VTU2N/U/hM2YJtH/+2//qnYPNBGZAlrFTcsZs38nIiBjXEMB5tnPCdu7cqUmTJmnEiBEaOnSoysvLVVdXF3PMu+++qyeeeEIzZ87UsmXL1NHRoc7OTu3atUvl5eWSpKqqqj7vy3ZmUw+vvXmIbYiALGSnwr3ZKFlPWHpm8Tf1wG1XE4ABDrMdhB05ckShUCj6uLi4WIcPH44+PnnypMaNG6eamhqtX79ex48fV21trVpaWlRYWKhg8PQgXCgUinkfrCfKsg0RkB0SJdybYX9IwP1sT0f29PQoEAhEH4fD4ZjHBQUFevLJJ6OP58+fr7vuuktz5syJOU5Sn8dWFBUV2mi1s0KhYdaOGzlETS1tlo49drzD8s/1Kr9/vnSi7+xzW9/NmjpMs6ZeaPn4mypL9ej/87Y6Orujz+Xn5eqmytK0fja39ZuX0Hf2eLnfbAdhJSUl2r17d/RxU1OTiouLo48PHTqknTt36rrrrpN0OkgLBoMaNWqUTpw4oe7ubuXm5vZ5n1XNza3qMco0dalQaJiamk5YOvbbXz+/T60fM6OG51v+uV6USr9lo/qGRq155X21tnVJkgoG52rOtIs0ubSEvusHP/Rd6bkjVD39oj4LfErPHZG2z+aHfnMKfWePF/otJydgOnBkOwi76qqrtHr1ah07dkxDhgzRtm3b9POf/zz6+uDBg/XAAw9o4sSJOuecc/Tiiy9q2rRpysvL04QJE7RlyxbNnDlTGzZs0JQpU+w2w5eMqt2PH1Ok/37n7+rq/jzwDOYGWNmUxeobGvUfW/bHnBMn27v1zOZ9kk6PnCA79F5NXTgkqHA4rJPt3STfAy5nOwgbPXq0Fi1apOrqanV2duq6667T+PHjtWDBAi1cuFCXXnqpli1bpltvvVWdnZ264oor9L3vfU+StHTpUi1evFiPP/64zjrrLD344IMD9oH8Ir7afX1Do/7ftw7FHBP20EggBt667QdjArCI7vDp11KZuoJ3xa+mjoyKSmxNBH/qfdMRGjlE3/76+Z49vwPhcNiT3+R+no40UlO7w3SJ+gO3Xd2fprmaF4aaM6n3xSeZTatm03c2eem8M7s29Jap64SX+s1t6Dtr4m86pNMrhZMtVHFSoulIti3yCLYcQfzWNYmwAi57WDkfuE7ALxLtHuFFBGEewXJzmBXfjJcbELmCWcTKNYDrBPzCbwMSBGEeYadYI/zFykWmYHCu5lde3GdYvr6hUTW1OzT//ldVU7uDIr8+YnRt6I3rBPzEbwMSbODtEUYrJln1lF0SbV2TKN/HbBssiWRtP4i/NvReHZkTiJ2q4d8bXldVNsYwJ8yrNxoEYR4Sv2IS2cXuxSdRDgXnkz8YraYm8IYfxd90eH11JEEY4BF2R0P9lkOBvnqvmi0anq+Ozm4Cb/hW75sOr68qJQgDPMTOaGiiaUx4n9GolxkCb8BdCMIAn3p9z0d6dnOD4Revl3MoEMvqqlmJwBtwG4Iwj4qffiBJH73VNzTquboDMZs3R+QEpKsvJb/QL6yObhF4A+5DEOZBJN0imXXbDxoGYJLUE5Z27G3UBeeM4HzxAbPp5oLBuRo8KGj5Ro0bOyDzCMI8iNVuSCbZ6Ajni3+YrZqdM+0iy/++3NgBzqBYqwex2g3JWMn94Xzxh8mlJZpXMTb6b140PD/lffT8thUM4BWMhHkQq92QTFXZGNOcsAjOF//obw1BbuwAZxCEeZDfKgZj4E0uLdHwYYNZHQlLuLGDl3k5n5EgzIPYwghWTL3yiyo9d4Qkb1+kkH5GN3aS1H6qS/UNjZwrcK3X93zk6XxGgjCXSvalyRZGSAXnCxKJnBtrXnlfrW1d0edPtnd76gsN2ee5rfs9vVCNIMwByQIso5VKT27apz//7X91Y/lYp5oNwMcml5Zo3faDMUGY5K0vNGSfoy1ths97JZ+RICzDrCwFN6uA/dqbh3TBOSOixzC1BGCg1Dc0kqAPzzlz5BA1GQRiXslnpERFhllZCp7ogveb/zygX299L3pMJIirb2hMT4MB+F7k5tCMV77QkH2qK8ZpUDA2lPHSwiOCsAyzcqeZ6IJ3sr2bej4ABlSi/Se99IWG7DP1yi/2u06ek5iOzLCcwOltY4yej6gqG6MnN+1L6ecyXQDArkTXDy99ocFfrK7q9vLCI0bCMswoAIt/fnJpib5x+Rf6HDMomKPCIcZxM9MFAOxKdF3x6pcbvC0yRe731BtGwjLMalHEG8vH6oJzRvS5C5BEoVZEUf8L/VXf0Ki29q4+zwdzA1xX4Biz/OmnN5+eJfLLdY6RsAyrKhvTryTCgdgnDv6QLXeKSK/f/OcBdRuM0Ofn5XBdgWPMpsh7wvLVdY6RsAyzWu0+WSmL+LpiNbU7GA3JMolW2vLvDyvqGxp1st14f1Gz54FMMJs1kvx1nSMIc4CVJEKrX7BW6o7Bn6jphP5a88r7pq+RZwonmW2lFeGX6xxBmMPMcnqsfsEyGpK92HQZ/RVfHb838sHgpMj319Ob9xkuaPPLdY6cMAclyukxO8Hin2c0JHv1N78QSISbODhtcmmJbq682NfXOUbCHJRoFMtoKNboxGM0JHtZzS/sjdWU6K1gcK5h7lfB4FwHWgP0Zec65yUEYQ5KNIpl9cSzGqzBn1IpUmi2MfyaV97XDdd8xTcXNVg3Z9pFembzvpjVkbmB088DbuHlYqzJEIQ5KNkolpUTz+93CRg4ZlvTtLZ1sZgjS3H9AJxFEOaggRrF8vNdAgZOojxBFnNkL64fcItsTJcgCHMQd6HIpER1dyQWcwBwTn1Do/5jy351fTY33ny8Q/+xZb8kf4/Q9ysI27Rpkx5//HF1dXVp3rx5mjt3bszrr7zyilavXq1wOKxzzjlH9913n8444wytX79eq1atUlFRkSRp6tSpWrRoUX+a4llGd6HZeDeA9EtWd4fFHACcsuaV96MBWERXd1hrXnnf199/toOww4cP66GHHtK6des0aNAgXX/99Zo4caIuuOACSVJra6vuuecevfTSSxo9erQeeeQRrV69WnfffbfeffddLV68WJWVlQP2Qbyud+DVG8VXMVAi589v/vNAnxVxLOYA4CSzmnWtbV2af/+rvh2QsF0nbOfOnZo0aZJGjBihoUOHqry8XHV1ddHXOzs7tXTpUo0ePVqSdNFFF+nvf/+7JGnv3r1av369Zs6cqTvvvFOffPJJPz+Gt8XXC4sXydcB+mtyaYlW31GmBTMvZv9RWBLZFm3+/a+qpnaHb/bsg7f4dW9c2yNhR44cUSgUij4uLi7WO++8E308cuRITZs2TZLU3t6uX/3qV7rxxhslSaFQSPPnz9cVV1yhBx98UMuWLdOqVavsNsXzzFat9Ua+DgYSydiwgm3RkClmNet68+MCIttBWE9PjwKBQPRxOByOeRxx4sQJ3X777Ro7dqy+853vSJIee+yx6Ovf//73o8FaKoqKCm202lmh0DDD549ZCLBCI4eYvt/vsvVzDwT6zj76Ttrwh3rDgtIb/vAXzZp6oeF76Df7srnvflj1f+nh//tNdRvtUdTLseMdffop/vHrez7Sc1v362hLm84cOUTVFeM09covDnibB4LtIKykpES7d++OPm5qalJxcXHMMUeOHNHNN9+sSZMm6a677pJ0Oih76aWXdNNNN0k6Hbzl5qZenbm5uVU9Sf6x3CQUGqamphOGr41KsmptUDBH3/76+abv97NE/YbE6Dv76LvTmlraTJ836h/6zb5s77vSc0do/oxx0dzonIAM94wcNTw/pp/i+y1+9LappU2r176l4yfaHRtBy8kJmA4c2c4Ju+qqq1RfX69jx46pra1N27Zt05QpU6Kvd3d364c//KEqKiq0ZMmS6CjZ0KFD9dRTT+ntt9+WJL3wwgu2RsL8xGgPwAjydQA4xeoetsBAmFxaogduu1rPLP6m7T0jE20H6Ea2R8JGjx6tRYsWqbq6Wp2dnbruuus0fvx4LViwQAsXLlRjY6P27dun7u5uvfzyy5KkSy65RMuXL9fDDz+se+65R+3t7TrvvPO0YsWKAftAbpeo/ARlKQC4SaKC0kbXsllTs3c6DQPL7vdiou0A3SgQDoe9M6fXixenI3//+p8ML2iMdJnL9iH6/qDv7KPvPmcUbEkyvJb96B8vU+m5I5xqqqdxztkT3281tTtMtwN84LarM9m0qETTkVTMz6BEw6QUbAXgRkYraWtqdxhey57bul+/uGVyn5/B9QyZMlDbAWaK7ZwwpC7RMGnv2ifxdcP8Wh8FgDeZXcuOGiTycz1DJk0uLdG8irGeqYPISFgGJdq7r3ftnVRGzAAg08yuZWeOHNJn1Kujs5vrGTLKS3UQGQnLoESrIHuv3vBaYiHcp76hUfP/dWzL/mEAAB+SSURBVBtVzpEWRteyQcEcfXVscZ9RL7PtaLieAQRhGRUZJjUTuSixLBz9EZn+idR4YvoHA81symfXe0eS7v4RwfUMYDoy4yLTjWarNyTvJRbCXZjORiYYTfk8tWmfpfdyPQNOIwhzQLIgi7ph6A+ms+GUM0cOMayyXzA4V4MHBbmewZJsWk1LEOYAK0GWlxIL4S5mSdNM/yDdqivGafXat/rcYM6ZdhHXM1iSbZvGE4Q5hCAL6cJ0Npwy9cov6viJ9qwZxcDAqm9o1NOb9/XZM9LP6RQEYYDPRC5UG/7wFzW1tPFFiLQw27aIG0wkk2gXBrONcPyaTkEQBvjQ5NISzZp6IdugIC3MpoyGDxvMtkVIyOzcyQsGEq6s9Ws6BSUqAAApMVuB+9zW/Q61CF5hdu6cbO82fY+f0ykIwgAAKUll2yKgt1SnFXMCcvW2Q/3FdCQAICWJti0C4vXOAcsJyDDvq3BIUKc6e/osKPJzACYRhAFZySwxllVtsMJsBW51xTgHWwU3is8BMwrABgVzdMM1X5GUfdcggjAgyzz/8nt67c1D0cfNxzv0zOZ9CuQE1NUdjj7n59o86B+zWodTr/wii0EQwygHTFJ0RCw+2Mq26w1BGJBF6hsaYwKwiO5w5P99zs+1edB/lKKAFWY5YD1hacHMi7P+HCIxH8gi67YfTOl4v9bmAZAZiUpLPLlpn55/+b0MtsZ9GAkDskiqQZVfa/MASK/eeaeJvPbmIb325qGsyQGLRxDmUtm0gSkyx2xVmxE/1+YBkD7xyfhWZGseKtORLhQ5gSNflpGTs76h0eGWweuqysZoUNDan/3Vl5LzAyB1Zsn4yUTyULMJQZgLmVUUzraTEwNvcmmJ5lWMVcHg3KTHvnOwOQMtAuA3/cklzbY8VKYjXcjsJMy2kxPpMbm0ROu2H0y4TYjE+YaBQWpF9kkl7cHovdmEkTAXMjsJs+3kRPpYuUByvqG/SK3ITqmkPfSWjXmojIRlkNU7QrNq1Nl2ciJ9CocE1drWZfo65xsGQqLUCkbD/MuomO/4MUXasbcx5nwI5gaUn5ejk+3dWTtKShCWIrtD66/v+SgmsEq0EsSsGnW2nZxIn3DYYO+Qz3C+YaCQWpG9jIr5XnDOCL7X4hCEpSB+2W0qS2qf27o/pTtCqlEjnRLlgz1w29UZbAn8zCw3iKnu7MT3Wl/khKWgP6sWj7a0GT7PHSGcQN4hMsEoN4ipbuBzBGEp6M/Q+pkjhxg+z5cenMCXIzIhUhIlcp0rGp6veRVjGQ0BPsN0ZAr6M7ReXTFOq9e+RbI9XGFyaYn+/Lf/1fa3DqknLOUEKM6K9GAKCjDHSFgK+jN6MPXKL3JHCNeob2jUjr2N6vksP78nLO3Y20jpAADIIEbCUtDfVYvcEcItKB0AAM4jCEsRgRT8gNIBAOC8fk1Hbtq0Sddee62+9a1v6cUXX+zz+v79+1VVVaXy8nItWbJEXV2ni0MeOnRIc+fO1fTp03Xrrbfq5MmT/WkGgBSxOhIAnGc7CDt8+LAeeugh/eY3v9GGDRv029/+Vn/+859jjqmpqdHPfvYzvfzyywqHw1q7dq0k6d5779WcOXNUV1enSy65RLW1tf37FABSwupIAHCe7SBs586dmjRpkkaMGKGhQ4eqvLxcdXV10dc//vhjtbe367LLLpMkVVVVqa6uTp2dndq1a5fKy8tjngeQOZQOAADn2Q7Cjhw5olAoFH1cXFysw4cPm74eCoV0+PBhtbS0qLCwUMFgMOZ5AJk1ubRED9x2tRbMvFiS9OSmfaqp3cEKSQDIENuJ+T09PQoEAtHH4XA45rHZ6/HHSerz2IqiokIbrXZWKDTM6SZ4Ev1mX7K+e33PR3qu7oA6Ok9vY9R8vEPP1R3Q8GGDNfXKL2aiia7FeWcP/Waf1/vu9T0f6bmt+3W0pU1njhyi6opxGbmOeLnfbAdhJSUl2r17d/RxU1OTiouLY15vamqKPj569KiKi4s1atQonThxQt3d3crNze3zPquam1vV02O+CbHbhELD1NR0wulmeA79Zp+Vvnt2c0M0AIvo6OzWs5sbVHruiHQ2z9U47+yh3+zzet/F763c1NKm1Wvf0vET7WlNc/BCv+XkBEwHjmxPR1511VWqr6/XsWPH1NbWpm3btmnKlCnR188++2zl5+drz549kqSNGzdqypQpysvL04QJE7RlyxZJ0oYNG2LeByBzkpWqqG9oVE3tDs2//1WmKgGY6s/eytnM9kjY6NGjtWjRIlVXV6uzs1PXXXedxo8frwULFmjhwoW69NJLtXLlSt19991qbW1VaWmpqqurJUlLly7V4sWL9fjjj+uss87Sgw8+OGAfyC3qGxpjirreVFma1SMLcKdEW3HF39k2H+/Qr7e+J0kk8AOIQe1BewLhcNg7c3q9uHk6Mv7LS5Ly83JVPf0ivrxS5IWhZrey0ndG5+qgYI7mVYyN3kTEKxqerwduu3rA2+smnHf20G/2eb3vamp3OHK98EK/pWU6EuaMhmU7OrsZloXrJCpVwZ0tAKuoPWgP2xalAV9e8JL4rbgieWBmqKoPIF5/91bOVgRhaZAozwZwM6Ppyd64swVghr2VU0cQlgZVZWMMc8L48oLbGU2lR5jd2fZehFIwOFeBQECtbV3cCQNAEgRhaWA0LMvqSHhBoinzqrIxWrf9oJ7ctC8aYEmKueE42f55zTFWUwJAYgRhaRI/LOuFFRyA2VR64ZCgYbmKvGDAdORM+rxOEEEYAPRFEAYgymgqfVAwR+Fw2LAQ46mu5D+TBSkA4mtnkqpwGiUqAESZlazoPc2YKhakANktsuAnckMWGUlnBw6CMABxJpeWqKpsTHRqct32gyoYnGt4bOGQYJ/aQL2xmhIAWxqZYzoSQAyj7YqCuQHlBqTuXptUDArm6IZrviJJrI4EYKi+oZHamQkQhAGIYXTX2tUdVuGQoPLzcg1zOgi0AMSL3NCZIVWBIAxAHLO709a2Lv3y/0zJcGsAeFWiuoOkKpxGThiAGGZ3p9y1AkhFounGyB612Y4gDEAMNuIFMBAS3dARgJ1GEAYghlmZCi6aAFLBDV1y5IQB6IONeAH0l9EWfqyYjkUQBgAA0oIbusQIwuKwtQIAAMgEgrBejIpURmqcEIgBAICBRGJ+L2ytAAAAMoUgrBe2VgAAAJlCENYLRSoBAECmkBPWS1XZmJicMImaJkC61Tc0as0r76u1rUuSVDA4V3OmXUQeJgDfIwjrhZomQGbVNzTqP7bsV1d3OPrcyfZuPbN5nyQWxADwN4KwONQ0ATJn3faDMQFYRHf49Gv8LQLeR+kncwRhAByTaNELC2IAd7MSXFH6KTES8wE4JtGiFxbEAO4VCa4iN0uR4Kq+oTHmOEo/JUYQBsAxVWVjFMwN9Hk+NyAWxAAuZjW4ovRTYkxHAnBMZDqi9+pI6fOcsN7HALAmEzlYVoOrouH5hscy0n0aI2EAHDW5tES//D9TtGDmxRoU/PySZDa9AcCc1WnC/rJaV7OqbEzM37VE6afeCMIAuAK5I0D/ZervyGpwNbm0RPMqxkaDs6Lh+ZpXMZYR7s8wHQnAFRJNb7DEHbAmUzlYqdTVpPSTOYIwAK5gljtSMDi3zxL3Jzft05Ob9hGQAXEymYNFcNV/tqcjDx06pLlz52r69Om69dZbdfLkyT7HHDlyRDfffLNmz56t73znO6qvr5ckdXZ26oorrtDs2bOj/9fd3W3/UwDwPLPpja7unj7TKxHkjQGxyMHyFttB2L333qs5c+aorq5Ol1xyiWpra/scs2LFCn3zm9/Uxo0btWrVKt15553q7u7WgQMHdPnll2vjxo3R/8vNze3XBwHgbUa5I1dfWqKOzr4V9Xsjbwz4HDlY3mJrOrKzs1O7du3SY489JkmqqqrSP//zP6umpibmuGnTpmnSpEmSpC996Uvq6OjQp59+qr179+rYsWOqqqpSMBjUnXfeqa997Wv9/CgAvC5+eqOmdoel91FzCPhc77+jSD4l0/fuZCsIa2lpUWFhoYLB028PhUI6fPhwn+PKy8uj//30009r3LhxGjZsmAKBgP7hH/5Bt9xyi/70pz9pwYIF2rRpk0aNGmXzYwDwI6vBFTWHgL7YMsj9kgZhW7du1X333Rfz3Je+9CUFArFVruMf9/bss8/qt7/9rV544QVJ0vXXXx997eKLL9b48eP1xz/+Uddcc43lhhcVFVo+1i1CoWFON8GT6Df7vN53oZFD1NTSlvCY3JyATnX16Ob7X9WZI4eoumKcpl75xf7/bo/3nVPoN/sGuu82/KHesFzFhj/8RbOmXjigv8tJXj7nkgZhFRUVqqioiHmus7NTEydOVHd3t3Jzc9XU1KTi4mLD969YsULbt2/Xiy++qJKS05H3hg0bdMUVV+jcc8+VJIXDYeXl5aXU8ObmVvX0JM4VcZNQaJiamk443QzPod/s80Pfffvr58fcyUtSMDeg/LwcnWzvVsHgXHV09ujEp52SpKaWNq1e+5aOn2jX5NIS26Ut/NB3TqDf7EtH35ndwDS1tPnm38kL51xOTsB04MhWYn5eXp4mTJigLVu2SDodVE2ZMqXPcc8++6z+53/+R2vWrIkGYJJ04MABPfPMM5KkDz74QPv379eVV15ppykAfMwoyfh7147T6jvKtGDmxWrr6FZXd+zNWCRRv76hUc9s3hdTOfyZzftYSYmsYbWqPZwTCIfDtoaTPv74Yy1evFjNzc0666yz9OCDD+qMM87QmjVrdOTIES1cuFBf+9rXVFhYqOHDh0ff96tf/UoFBQW666679MEHHygQCGjJkiXRBH6rGAnLDvSbfX7uu/hcFyMFg3N1sr1v6ZuCwblafUdZwp/v575LJ/rNvnT0ndHfyaBgjq9WS3rhnEs0Ema7WOvZZ5+t559/vs/zN9xwQ/S/d+3aZfr+X/7yl3Z/NYAsZ7Q1S29mBSslGQZmgB+lUtUezqBiPgDPSbRqMlKY8slN+zLYIiAzUs1zpKq9u7GBNwDPMctpyQkoOtVSOMT4HtPsecDtItOLvfMc2THC2wjCAHiO2dYsN1deHL3rv+GaryiYG1s6J5gb0FfHFqumdofm3/+qamp38AUGzzCahmfHCG/jlhCA5yTKdek9XVM4JKhwOKyT7d0qGp6v8WOKtGNvI8Ur4Ulm0/DsGOFdBGEAPMko1yV+NVhrW5cGBXO0YObpEbKa2h2GIwlPbtqnddsPkrQMVzNbcELJCe9iOhKAbySbrkk0YkB+DdzOaBpekjo6uzlvPYqRMAC+kWy6JlHpCunzgM1PW7rAPyKjtL/5zwMxpVZa27osT6vHr64cP6ZI7xxspoSFQwjCAPhGsumaqrIxSYu8kl8DN5tcWqJ12w/2qXd3qqtHa155P2H5CqMNvV9781D0dXIkM4/pSAC+YbZqsqpszOeP8xJf9sivgduZ3Si0tnUlLF+RrMixxGrLTCMIA+AbRntNRuqGRUYBWtu6TN8fH7ABbmT1RiE+oLI6ystocOYwHQnAV8wqhFsZBbj6UqqLw/2sTKtH9A6okuVE9j4OmUEQBiArWPnyeedgcwZagmyU6nZDiRjVyWs/1WW4L2rvgMpK8MZocGYRhAHIClZGAZiG8aeBDIDs/v74hPj+JsDHj/jG/w6pb0BlFLyxOtJZBGEAsoKVUQCmYfwnHQGQld/ZO9Dp6Ow2rV83UG1ItItE/HEEWe5BEAYgK8R/ScVjGsafEhXwHYhgpL6hMaZuV35errq6utUdPv16sgLBA4kAy3sIwgBkjd5fUk5PUSEz0rnfYn1Do57ZvC8acEmnq9dbxcgrCMIAZCVGDbJDOvdbXLf9YEwAlgpGXiERhAEAfMwoF9BuABQ/eprKaFrB4FwNHhRk5BUxCMIAAL5lNWE9GaMEf6sGBXM0Z9pFBF3ogyAMAOBrAzH1bKXYrxFGvZAIQRgApMCJhH4WETgv0chXweBcw0KpkjR+TBH/VjDF3pEAYFFkSirRJsl++J3oyyyRv2h4vlbfUaacgPH7tr91KI2tgtcRhAGARYlqTvnpd6KvqrIxGhSM/crsneDfY7JKsid8OpCuqd2h+fe/qpraHQTQiGI6EgAsSmfNKTf9TvSVLME/J2AciAWkjFfsh3cQhAGARemsOeWm3+lGbsiLS5TgX3bZF/Tam32nHgflBdTRmd4ti+BdTEcCgEXJpqSsSmV6aqB+p5d5IS/uxvKx+sblX4jmhuUEpG9c/gV1dBrPUzKSCYmRMACIUd/QqA1/qFdTS1ufEZeBqDmV6obSA1XnysvSvf/jQLmxfKxuLB8b89w7B5sZyYQpgjAA+IyVAKm/NaesBhTPv/yetr91SD3h06MqZZd9oc8XfLbwcl7cQFbsh/8QhAHAZzIx4mIloHj+5fdi8ot6woo+NgrE3JAvlU5ezotjJBOJEIQBwGcyMeJiJaAwqy21/a1D0SCsd+AV31Y/rb6rb2hU+6muPs97aTSJzeJhhiAMAD6TiRGXqrIxembzPnX3ytcOSGpt69L8+19N+N5ICYT4adN4bsyXimdl9M7scxYOCeqGa77i6s8HWEEQBgCfyVT+TiAnoN5RWFhSR6fxtje9RVbeWdnH0M35UlYXJ5h9zvy83JQXQzAdCDeiRAUAfGZyaYnmVYxVaOQQSadHwOZVjB3QL+x12w+qq9ukvHoSZZd9QZK1AMvN+VJWdwEYiOlhL5S3QPayPRJ26NAh1dTUqLm5Weeff75WrlypgoKCmGM+/vhjVVZW6txzz5UknXnmmXr66acVDoe1YsUKvfbaa8rJydHPf/5zXXnllf37JAAwACaXlmjW1AvV1HQiLT/fzghV/OpIs2nTCLfnS1kNrgZietgr5S2QnWwHYffee6/mzJmjGTNm6LHHHlNtba1qampijnn33Xc1c+ZMLVu2LOb5l19+WQcPHtSWLVv017/+Vbfccou2bNmiYJDZUQD+liyAij/2gduu7vO80bRp7/ckm27rPT0X2W4n8r9Wp+uMpvhmTR1m+XNZCa4GYnrYy+Ut4H+2piM7Ozu1a9culZeXS5KqqqpUV1fX57i9e/fq/fff1+zZs1VdXa0DBw5IkrZv365rr71WOTk5Ov/883XWWWfpzTff7MfHAABvMKqAbyQ3INNgIzJtGglaiobna8HMi/XM4m/qgduuThqA9Z6eiyT7R/7XynSd2RTf63s+Svq5JOu7ABh9zlSnh81Gzdw8XYvsYWvoqaWlRYWFhdGRq1AopMOHD/c5Lj8/X7NmzdL111+v//7v/9btt9+uLVu26MiRIyouLo4eFwqF1NjI/DwA/zOqGzV+TJF2vXdErW2nSzEUDM7VnGkXJQw2rJQ9MBqtspLUn2y6zmyK77mt+/WLWyYn/NmRtkd+TrJk+f6Wd6BYKtwsaRC2detW3XfffTHPfelLX1IgEIh5Lv6xJP3oRz+K/ndZWZlWrVqlDz74QD09PTHHh8Nh5eSkNihXVFSY0vFuEApZG6pHLPrNPvrOvnT23aypwzRr6oVp+/mS9Pqej/Rc3YHoqsvm4x0xj5NpPt6hhv/vfzX1yi/2ee2YyVTe0ZY2y/2WiT6I/J7hwwbrua37dbSlTWeOHKLqinGGn8tp/L3a4+V+SxqEVVRUqKKiIua5zs5OTZw4Ud3d3crNzVVTU1PMyFbE888/r8rKSo0cOVLS6WArGAyqpKRER44ciR539OhRw/cn0tzcqp4eeyuMnBAKDUtboq+f0W/20Xf2+aHvnt3c0Cfg6ujsjuZ+WfHwmj/qifXvqLWtK2a0apRJTteZI4fY6rd0l5AoPXdEnxE6t/37+uGcc4IX+i0nJ2A6cGQrJywvL08TJkzQli1bJEkbNmzQlClT+hy3a9cu/e53v5MkvfHGG+rp6dGXv/xlTZkyRZs2bVJ3d7f++te/6sMPP9Sll15qpykAAANmiec9YVnKSZNOlzKLTJH2zhUzy+mqrhiXcjspIYFsZrtO2NKlS7V27Vpde+212r17t+644w5J0po1a/TII49IkpYsWaKdO3eqsrJSv/jFL7Rq1Srl5ORo+vTpuvDCCzVr1izddtttWr58uQYPHjwwnwgAkDAhvXeye07fTBJTvXPFjBLm7UzxWa0ZBvhRIBwOe2dOrxemI7MD/WYffWefH/rOaMufQcEc09WFNbU7LJdteGbxNw2fj+83K9OMibZqMvs9fuSHc84JXui3AZ+OBAC4W6rlHayWzrBa2sHqNCMlJJDNqI4KAD6VSnmH+LIRBYNz1dHZE7PFUiqlHaxWqjcrPDt+TJHhz2UfSPgJQRgAQFLfoK0/AY/VSvWTS0v057/9r15781DM8zv2NuqCc0b0aY+Vjb8BryAIAwAY6k+h1FT2fXznYHOf54xGzdgHEn5DThgAYMBZ3ZpIsj5qxj6Q8BtGwgAAAy7R1kTx05yFQ4LRemS9xY+apTK6BngBQRgAIC2MpjON8rpyA1IwN5B0EQD7QMJvCMIAABljlNfVHZYK8nJ0RkEw4SKAVDb+BryAIAwAkDFm+Vsn27u1+o6ypO/vz2IBwG1IzAcAZAzFWYHPEYQBADImlVWTgN8xHQkAyBjyuoDPEYQBADKKvC7gNKYjAQAAHEAQBgAA4ACCMAAAAAcQhAEAADiAIAwAAMABBGEAAAAOIAgDAABwAEEYAACAAwjCAAAAHODZivk5OQGnm5AyL7bZDeg3++g7++g7e+g3++g7e9zeb4naFwiHw+EMtgUAAABiOhIAAMARBGEAAAAOIAgDAABwAEEYAACAAwjCAAAAHEAQBgAA4ACCMAAAAAcQhAEAADiAIAwAAMABBGFp9vDDD2v16tWGr506dUo1NTWqqKjQd77zHR08eDDDrXOfQ4cOae7cuZo+fbpuvfVWnTx5ss8xH3/8sS6//HLNnj1bs2fP1s033+xAS91j06ZNuvbaa/Wtb31LL774Yp/X9+/fr6qqKpWXl2vJkiXq6upyoJXuk6zfHn30UX3jG9+InmdGx2Sz1tZWVVZW6m9/+1uf1zjnzCXqN845c48++qhmzJihGTNmaMWKFX1e9+w5F0ZaHD9+PPyTn/wkPH78+PAvf/lLw2Oeeuqp8E9/+tNwOBwOv/HGG+Hvfve7mWyiK/3gBz8Ib968ORwOh8OPPvpoeMWKFX2Oqauri/ZbtmtsbAx/4xvfCLe0tIRPnjwZnjlzZvhPf/pTzDEzZswIv/nmm+FwOBz+yU9+En7xxRedaKqrWOm3W265JfzHP/7RoRa621tvvRWurKwMl5aWhj/66KM+r3POGUvWb5xzxnbs2BH+p3/6p3BHR0f41KlT4erq6vC2bdtijvHqOcdIWJr813/9l8477zx973vfMz3m9ddf16xZsyRJX/3qV3Xs2DEdOnQoU010nc7OTu3atUvl5eWSpKqqKtXV1fU5bu/evXr//fc1e/ZsVVdX68CBA5luqmvs3LlTkyZN0ogRIzR06FCVl5fH9NnHH3+s9vZ2XXbZZZLM+zTbJOs3SXr33Xf1xBNPaObMmVq2bJk6Ojocaq37rF27VkuXLlVxcXGf1zjnzCXqN4lzzkwoFNLixYs1aNAg5eXlacyYMTHflV4+5wjC0uTb3/62fvCDHyg3N9f0mCNHjigUCkUfh0IhNTY2ZqJ5rtTS0qLCwkIFg0FJp/vj8OHDfY7Lz8/XrFmztH79et188826/fbbderUqUw31xXiz6Hi4uKYPjM6x4z6NNsk67eTJ09q3Lhxqqmp0fr163X8+HHV1tY60VRXWr58uSZMmGD4GuecuUT9xjln7sILL4wGWB9++KG2bt2qsrKy6OtePucIwvpp69atmjJlSsz/3XTTTZbeGw6HFQgEYh7n5GTHP4lRv/3Lv/xLTH9I6vNYkn70ox9pzpw5ysnJUVlZmYYOHaoPPvggU013lZ6enj7nUO/HyV7PVsn6paCgQE8++aTGjBmjYDCo+fPna/v27U401XM45+zhnEvuT3/6k+bPn68f//jHOu+886LPe/mcCzrdAK+rqKhQRUWFrfeOHj1aR44c0bnnnitJOnr0qOkwtd8Y9VtnZ6cmTpyo7u5u5ebmqqmpybA/nn/+eVVWVmrkyJGSTv/BRUbPsk1JSYl2794dfRzfZyUlJWpqaoo+zqZzLJFk/Xbo0CHt3LlT1113naTsPsdSxTlnD+dcYnv27NHChQt11113acaMGTGvefmcy45hF5cqKyvTxo0bJUm7d+9Wfn6+vvCFLzjcKufk5eVpwoQJ2rJliyRpw4YNmjJlSp/jdu3apd/97neSpDfeeEM9PT368pe/nNG2usVVV12l+vp6HTt2TG1tbdq2bVtMn5199tnKz8/Xnj17JEkbN2407NNsk6zfBg8erAceeEAfffSRwuGwXnzxRU2bNs3BFnsH55w9nHPm/v73v+v222/XypUr+wRgkrfPOYKwDFuzZo0eeeQRSdKNN96oU6dOacaMGVq+fLnhsttss3TpUq1du1bXXnutdu/erTvuuENSbL8tWbJEO3fuVGVlpX7xi19o1apVWTONG2/06NFatGiRqqur9e1vf1uVlZUaP368FixYoL1790qSVq5cqfvuu0/Tp0/Xp59+qurqaodb7bxk/TZq1CgtW7ZMt956q6ZPn65wOJxwkQ3EOWcT51xyTz/9tDo6OnT//fdHy3esWbPGF+dcIBwOh51uBAAAQLbJzuEDAAAAhxGEAQAAOIAgDAAAwAEEYQAAAA4gCAMAAHAAQRgAAIADCMIAAAAcQBAGAADggP8f/hOunX3jut4AAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Xnew = gmm10.sample(200)[0]\n", "plt.figure(figsize=(10,6))\n", "plt.scatter(Xnew[:, 0], Xnew[:, 1])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x432 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_components = np.arange(1, 21)\n", "models = [GMM(n, covariance_type='full', random_state=0).fit(moon) for n in n_components]\n", "\n", "plt.figure(figsize=(10,6))\n", "plt.plot(n_components, [m.bic(moon) for m in models], label='BIC')\n", "plt.plot(n_components, [m.aic(moon) for m in models], label='AIC')\n", "plt.legend(loc='best')\n", "plt.xlabel('n_components')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1296x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X1 = make_circles(factor=0.5, noise=0.05, n_samples=1500)\n", "\n", "# Moons\n", "X2 = make_moons(n_samples=1500, noise=0.05)\n", "\n", "fig, ax = plt.subplots(1, 2)\n", "for i, X in enumerate([X1, X2]):\n", " fig.set_size_inches(18, 7)\n", " km = KMeans(n_clusters=2)\n", " km.fit(X[0])\n", " labels = km.predict(X[0])\n", " centroids = km.cluster_centers_\n", "\n", " ax[i].scatter(X[0][:, 0], X[0][:, 1], c=labels)\n", " ax[i].scatter(centroids[0, 0], centroids[0, 1], marker='*', s=400, c='r')\n", " ax[i].scatter(centroids[1, 0], centroids[1, 1], marker='+', s=300, c='green')\n", "plt.suptitle('Simulated data', y=1.05, fontsize=22, fontweight='semibold')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }